Tiberiu Popoviciu

February 16, 1906 (Arad) – October 29, 1975 (Cluj-Napoca).

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Author: Emil Cătinaş
Version: August 25, 2018.

© Emil Cătinaş, Tiberiu Popoviciu Institute of Numerical Analysis

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Tiberiu Popoviciu is one of the greatest Romanian mathematicians. [acad. C. Iacob – link soon]

Tiberiu Popoviciu is the most important mathematician given by Transylvania, after János Bolyai. [acad. C. Iacob – link soon]

Tiberiu Popoviciu has set the foundations of the Numerical Analysis in Romania. [acad. M. Nicolescu – link soon]

Tiberiu Popoviciu has important contributions in the foundation of the Computer Science in Romania (hardware & software):

  • a few years after he was appointed professor at the University from Cluj-Napoca, he founded in 1951 the Institute (initially called Sectia de Matematica), within the Romanian Academy.
    His vision was an Institute where the following fields meet together:
    – Numerical Analysis (theory),
    – Applied Mathematics (in Industry – by contracts),
    – Electronic Computing (by building computers);
  • in 1957 he was approved to change the Institute name into Institutul de Calcul, and to hire top electronic engineers, physicists, who started designing and building computers;
  • in 1959 a first, experimental computer with relays is built: MARICA;
  • in 1963, DACICC-1, is the third electronic computer built in Romania, but the first one with transistors, RAM and a library of mathematical functions; Romania was the 11th country in the world that used transistors in computers;
  • in 1963, he had a decisive contribution in the foundation of the Department of Computer Science of the Faculty of Mathematics (Babes-Bolyai University), and he taught some of the first courses;
  • in 1968, DACICC-200, is the first Romanian computer with OS and compiler, and also with several advanced features; it is the most powerful computer designed and built in Romania [citation to be added];
  • in 1973, together with other personalities (E. Muntean, V. Peteanu) Popoviciu had a decisive contribution in the foundation in Cluj-Napoca of one of the first Highschools in Romania on Computer Science (at the same time with the foundation of the other three, in Bucharest, Timisoara and Iasi);

He appears in the select History of Approximation Theory (Technion University, Israel).

Several Institutions and NGOs bear today his name: this Institute (Institutul de Calcul “Tiberiu Popoviciu”), Liceul de informatica Tiberiu Popoviciu, Asociatia pentru IT Tiberiu Popoviciu, Asociatia pentru Matematica T. Popoviciu, the journal Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity, the highschool symposiums, national Highschool contests on Computer Science, etc.


He was a brilliant graduate of École Normale Supérieure (Paris), obtaining the PhD title at Université Paris-Sorbonne.

He became corresponding member of the Romanian Academy in 1948, at 42 years age, and full member of the Romanian Academy 13 years later.

He has obtained some important, deep results, from various fields of Mathematics (Numerical Analysis, Approximation Theory, Mathematical Analysis, Algebra): he

  • introduced for the first time (in 1934), the B-spline functions on nonuniform grids (as acknowledged in a paper by C. de Boor and A. Pinkus) and deeply studied them, obtaining the (now called) Marsden recurrence identity from 1970, and the (now called) Boehm’s knot insertion formula, from 1980;
  • introduced for the first time (1941) the cardinal spline interpolation on arbitrary knots, as acknowledged by I.J. Schoenberg himself, in a paper from 1968: “In [1941] Popoviciu uses spline functions directly for the purpose for which they are so eminently suited: the approximation of functions. He introduces spline functions of degree n with arbitrary knots…”
  • used for the first time the modulus of continuity for obtaining estimations for the remainders in approximation formulas (1937);
  • prefigured the de Casteljau algorithm (1937);
  • obtained early contributions to the test functions criterion for the convergence of linear positive operators (1950) – some call it the Bohman-Korovkin-Popoviciu theorem;
  • generalized the Leibniz formula for the product of two functions to divided differences (1933);
  • introduced and studied the convex functions of higher order (1933);
  • obtained a mean value formula for the divided differences of a function;
  • obtained further results on interpolation, quadrature, etc.;
  • obtained inequalities that bear his name (on variances, on convex functions, and others);
  • obtained results in functional equations, algebra (regarding the number of partitions of n)
  • published the first monograph in Romania regarding Numerical Analysis and Approximation Theory (1937);
  • (to be completed)

He is the founder of the Institute of Numerical Analysis (1951) also named the Computing Institute, which now bears his name (in Romanian Institutul de Calcul “Tiberiu Popoviciu”)

He was a visionary mathematician, and foreseen the increasing importance of the numerical computing. He had a vision, which he fulfilled, regarding the Numerical Computing (Numerical Analysis), the Practical Computing (Applied and Industrial Mathematics) and the Electronic Computing. In Romanian, “Calcul” may be associated to all the three mentioned notions

  • Numerical Analysis (“calcul numeric”),
  • Practical/Industrial Mathematics (“calcul practic”) – over 100 contracts with economic agents were carried out using the computers built here;
  • Electronic Computing technique (“calcul electronic”), three electronic computers were built here. The third computer was designed to support hardware implemented instructions for floating point computations (real numbers represented in floating point arithmetic on 48 bits).

The mathematicians from the Institute and from the Babes-Bolyai University, together with their PhD students, and the PhD students of their PhD students,… formed a powerful team, called the Cluj-Napoca Team on Numerical Analysis and Approximation Theory (“Şcoala Clujeană de analiză numerică şi teoria aproximării”), known not only in Romania, but also abroad. It amounts to over 400 people.

The specialists formed at the hardware section of the Institute were transferred in 1968 and formed the Institute for Computers – Cluj (Institutul pentru Tehnică de Calcul – ITC Cluj) and the Territorial Center for Computing (Centrul Teritorial de Calcul Cluj).

The IT industry in Cluj-Napoca has started from Tiberiu Popoviciu. However, it is worth noting that, according to Gh. Farkas, one of the leading engineers of the Institute, Popoviciu has risked his future when engaging the whole Institute resources for constructing some computers they wouldn’t know if would work…

1906 – born on February 16, at Arad.
1923

starts the highschool problems solving. He will not abandon this “ludical” activity even when becomes Professor.

He occupies the position 80 in the top most active collaborators of Gazeta Matematică.

1923-1925

editor of Jurnal Matematic
(a school mathematical journal founded by him).
1924

graduates the “Moise Nicoară” High School in Arad and is admitted to the Faculty of Sciences at the University of Bucharest.
1924

winner of the national contest organized by Gazeta Matematică (The Mathematical Gazette).
1926

winner of the Capriel Prize, offered by Gazeta Matematică, for the paper Asupra unor polinoame remarcabile, 93 pp.
1927

obtains the degree in mathematics at the Faculty of SciencesUniversity of Bucharest.
1927-1930

student at L’École Normale Supérieure (Paris). At the same time, he is following some special courses at Université Paris IV (Sorbonne).
1928

takes the degree in sciences at Paris.
1933
1933-1934

librarian at Faculty of Sciences, University of Cluj
(the later “Babeş-Bolyai” University).
1934
1934-1936

assistant lecturer at Faculty of Sciences, University of Cluj.
1936-1940

lecturer at the Faculty of Sciences in Cernăuţi (at present in Ukraine).
1937

Publishes the first Romanian monograph on Numerial Analysis & Approximation Theory.
1937

Elected corresponding member, at 31 years old, of the Romanian Academy of Sciences (this is not the same to the Romanian Academy).
1940-1942

Assistant professor at the University of Bucharest.
1941
1942-1946

Professor of functions theory at the Faculty of Sciences of the University of Iaşi (the later “A.I. Cuza” University).
1946-1948

Professor of algebra and number theory at the Faculty of Mathematics and Physics, “Babeş-Bolyai” University.
1947
1948
1948

Appointed as

  • Secretary of the Romanian Academy, Cluj-Napoca Branch (till 1951)
  • Professor of Mathematical Analysis, and
  • Head of the Mathematical Analysis Department of the Faculty of Mathematics and Physics.
    (He will occupy this position to the end of his life).
1950-1953

Dean of the Faculty of Mathematics.
1951
1953

The first contract between the Mathematical Section of the Cluj Branch of the Romanian Academy and an economical agent from Romania is signed.
A total of over 100 contracts will amount until 1975.
1957
1957
1959
1959

Reactivates the journal Mathematica and becomes its Editor-in-Chief.
1960

Member of the Editorial Board of Studia UBB Math. journal (to his death).
1963
1963
1964

1968
1968

1968: member of the Editorial Board of Aequationes Mathematicae journal (to his death).
1975
More information needed:

  • 19??: member of Société Mathématique de France;
  • 19??: receives the Romanian distinction Emeritus Scientist (in Romanian Om de ştiinţă emerit), the highest distinction in Romania for a scientist.
  • 19??: receives the Romanian medal … for …
  • 19??: receives the Romanian distinction … for …
  • perhaps other information?

Version of October 17, 2016.
The retrieving and scanning of his papers is in progress. Some papers have already been posted.

1976

  • a. T. Popoviciu, Sur certaines formules de la moyenne du calcul différentiel, “Gheorghe Ţiţeica and Dimitrie Pompeiu” Symposium on Geometry and Global Analysis (Bucharest, 1973), pp. 247-251, Editura Acad. R.S.R., Bucharest, 1976 (in French) [MR0507394, Zbl 0382.41003].
  • b. T. Popoviciu, Lignes polygonales inscrites et circonscrites à un arc convexe, “Gheorghe Ţiţeica and Dimitrie Pompeiu” Symposium on Geometry and Global Analysis (Bucharest, 1973), pp. 203-226, Editura Acad. R.S.R., Bucharest, 1976 (in French) [MR0513835, Zbl 0383.26005].
1975
  • a. T. Popoviciu, Sur certaines formules de quadrature de degré d’exactitude maximum, Trudy Mat. Inst. Steklov, 134 (1975), pp. 254-259 (in French) Theory of functions and its applications (collection of articles dedicated to Academician Serghei Mihailovic Nikol’skii on the occasion of his seventieth birthday) [MR0387912, Zbl 0372.41017].published also asT. Popoviciu, Sur certaines formules de quadrature de degré d’exactitude maximum, Proc. Steklov Inst. Math., 134 (1975), 289-294 (1977) (in French) [Zbl 0391.41012].
  • b. T. Popoviciu, Über die Verwendung der Tabellen spezieller Funktionen, Numerische Methoden der Approximationstheorie, Band 2 (Tagung, Math. Forschungsinst., Oberwolfach, 1973), pp. 101-109. Internat. Schriftenreihe Numer. Math., Band 26, Birkhäuser, Basel, 1975 (in German) [MR0386220, Zbl 0323.65002].
  • c. T. Popoviciu, Despre alura unor şiruri care tind către numărul “e”, Stud. Cerc. Mat., 27 (1975) no. 1, pp. 87-110 (in Romanian; English translation of the title: On the behavior of certain sequences that tend to the number “e”) [MR0380184, Zbl 0306.40001]
  • d. T. Popoviciu, Analiză numerică (Romanian) [Numerical analysis] Noţiuni introductive de calcul aproximativ. [Introductory notions of approximate calculation] With a French summary and table of contents. Seria: Teoria Calculului, Analiză Numerică şi Informatica, No. 1. [Series: Computing Theory, Numerical Analysis and Information Theory, No. 1] Editura Academiei Republicii Socialiste România, Bucharest, 1975. 234 pp. [MR0391466, Zbl 0312.65003].
  • e. T. Popoviciu, Sur une généralisation des fonction “spline”, Mathematical structures – computational mathematics – mathematical modelling, Sofia, 1975, pp. 405-410.
1974
  • a. T. Popoviciu, À propos d’un lemme de Tadeusz Wazewski, Collection of articles dedicated to the memory of Tadeusz Wazewski, III. Ann. Polon. Math., 29 (1974), pp. 307-308 (in French) [MR0346099 (49 #10825), Zbl 0285.26009].
  • b. T. Popoviciu, Curs de analiză matematică. Partea a III-a. Continuitate, Universitatea Babeş-Bolyai Cluj, Facultatea de matematică-mecanică, 1974, 182 pp. (litografiat) (in Romanian).
1973
  • a. T. Popoviciu, Sur une formule de quadrature de S. Golab et C. Olech, Collection of articles dedicated to Stanislaw Golab on his 70th birthday, II. Demonstratio Math., 6 (1973), pp. 771-789 (1974) (in French) [MR0362853, Zbl 0298.65019].
  • b. T. Popoviciu, Application de la théorie des fonctions convexes d’ordre supérieur à l’étude de certains procédés d’intégration numérique des équations différentielles, Proceedings of Equadiff III (Third Czechoslovak Conf. Differential Equations and their Appl., Brno, 1972), pp. 241-245. Folia Fac. Sci. Natur. Univ. Purkyhnianae Brunensis, Ser. Monograph., Tomus 1, Purkyne Univ., Brno, 1973 (in French) [MR0359275, Zbl 0346.65030].
1972
  • a. T. Popoviciu, Über die Approximation der Funktionen und der Lösungen einer Gleichung durch quadratische Interpolation, Numerische Methoden der Approximationstheorie, Band 1 (Tagung, Math. Forschungsinst., Oberwolfach, 1971), pp. 155-163. Internat. Schriftenreihe Numer. Math., Band 16, Birkhäuser, Basel, 1972 (in German) [MR0431657, Zbl 0238.65022]
  • b. T. Popoviciu, Sur une inégalité entre des valeurs moyennes, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz., no. 381-409 (1972), pp. 1-8 (in French) [MR0322119]
  • c. T. Popoviciu, Sur la forme du reste de certaines formules de quadrature, Proceedings of the Conference on the Constructive Theory of Functions (Approximation Theory) (Budapest, 1969), pp. 365-370. Akadémiai Kiadó, Budapest, 1972 (in French) [MR0395178, Zbl 0239.65024]
  • d. T. Popoviciu, Généralisation d’une propriété des suites de Farey, Rev. Roumaine Math. Pures Appl., 17 (1972), pp. 87-92 (in French) [MR0382153, Zbl 0239.10030]
  • e. T. Popoviciu, Asupra unor formule de medie, Rev. Anal. Numer. Teoria Aproximaţiei, 1 (1972), pp. 97-107 (in Romanian; English translation of the title: On certain mean value formulas) [MR0379772].this is a slighty modified version of 1969c
  • f. T. Popoviciu, Curs de analiză matematică. Partea a II-a, Funcţii. Limite, 1972, Universitatea Babeş-Bolyai, Facultatea de Matematică-Mecanică, 312 pp. (litografiat) (in Romanian).
  • g. Proposed problems, Contributed by R. Askey, R. DeVore, G. Freud, J. Musielak, J. Peetre and T. Popoviciu, Proceedings of the Conference on the Constructive Theory of Functions (Approximation Theory) (Budapest, 1969), pp. 533–538, Akadémiai Kiadó, Budapest, 1972 [MR 52#6245].
1971
  • a. T. Popoviciu, Das Restglied in einigen Formeln der numerischen Integration von Differentialgleichungen, Methoden und Verfahren der mathematischen Physik, Band 5, pp. 117-129. B. I.-Hochschulskripten, No. 724 a-b, Bibliographisches Inst., Mannheim, 1971 (in German) [MR0373303, Zbl 0231.65065]
  • b. T. Popoviciu, Sur certaines fonctions arithmétiques multiplicatives, Mathematica (Cluj), 13(36) (1971) no. 2, pp. 271-279 (in French) [MR0351976, Zbl 0248.10005]
  • c. T. Popoviciu, Über die Konvergenz von Folgen linearer positiver Operatoren, An. Sti. Univ. “Al. I. Cuza” Iaşi Secţ. I a Mat. (N.S.) 17 (1971), pp. 123-132 (in German) [MR0310499, Zbl 0255.41015]
  • d. T. Popoviciu, Asupra calculului unei limite, Gazeta Matem. Ser. A, voL XXVI (1971) no. 1, pp. ?
1970
  • a. T. Popoviciu, Curs de analiză matematică. Partea I. Noţiuni introductive. Numere. Mulţimi, 1970, Universitatea Babeş-Bolyai, 294 pp. (litografiat) (in Romanian).
1969
  • a1. T. Popoviciu, Sur le reste de certaines formules de quadrature, Aequationes Math., 2 (1969) no. 1, pp. 128-129 (short communication) (in French).
  • a2. T. Popoviciu, Sur le reste de certaines formules de quadrature, Aequationes Math., 2 (1969) nos. 2-3, pp. 265-268 (in French) Dédié à M.A. Ostrowski à l’occasion de son 75-ème anniversaire [MR0251903, Zbl 0172.42601]
  • b. T. Popoviciu, Sur la conservation de l’allure de convexité des fonctions par des polynomes d’approximation, Abstract spaces and approximation (Proc. Conf., Oberwolfach, 1968), pp. 328-337, Birkhäuser, Basel, 1969 (in French) [MR0301425, Zbl 0191.07101]
  • c. T. Popoviciu, Remarques sur certaines formules de la moyenne, Arch. Math. (Brno), 5 (1969), pp. 147-155 (in French) Dédié à M.O. Borůvka à l’occasion de son 70-ème anniversaire [MR0299737, Zbl 0247.26010]]a slighty modified version was published as 1972e
  • d. T. Popoviciu, Sur le reste dans la formule de quadrature d’Everett, Acta Math. Acad. Sci. Hungar. 20 (1969), pp. 443-449 (in French) Dédié à M. Alexits à l’occasion de son 70-ème anniversaire [MR0250486, Zbl 0209.37003]
  • e. T. Popoviciu, Contribuţii ale Institutului de Calcul din Cluj la aplicarea matematicii în economie. Metode noi şi probleme de perspectivă ale cercetării ştiinţifice, ?jurnal??, Editura Academiei R.S.R., 1969, pp. 305-320 (in Romanian).
1968
  • a. T. Popoviciu, Sur les fractions continues de J. Mikusinski, Rev. Roumaine Math. Pures Appl., 13, 1968, pp. 79-83 (in French) [MR0226243, Zbl 0172.06701]
  • b. T. Popoviciu, Sur la délimitation de l’erreur dans l’approximation des racines d’une équation par interpolation linéaire ou quadratique, Rev. Roumaine Math. Pures Appl., 13 (1968), pp. 75-78 (in French) [MR0226849, Zbl 0162.08401]
  • c. T. Popoviciu, Remarques sur un théorème de Cauchy relatif aux séries à termes constants, non-négatifs et non-croissants, Rev. Roumaine Math. Pures Appl., 13 (1968), pp. 1017-1025 (in French) [MR0236551, Zbl 0172.07701]
  • d. T. Popoviciu, Sur la conservation de l’allure de convexité des fonctions par interpolation, An. Şti. Univ. “Al. I. Cuza” Iaşi Secţ. I a Mat. (N.S.) 14 (1968), pp. 7-14 (in French) [MR0234174, Zbl 0172.08102]
  • e. T. Popoviciu, Asupra conservării unor aluri ale şirurilor infinite reale prin anumite transformări, Gaz. Mat. Ser. A, 73 (1968) no. 11, pp. 401-405 (in Romanian; English translation of title: On the conservation of some allures of infinite real sequences with respect to certain transformations) [MR0237992]
1967
  • a. T. Popoviciu, Über die Einwertigkeit und die Mehrwertigkeit der Funktionen einer reellen Variablen, IKM, IV Internationaler Kongress über Anwendungen der Mathematik in dem ingenieurwissenschaften, Berichte 2, Weimar (DDR) 1967, pp. 155-158 (in German).
  • b. T. Popoviciu, Remarques sur le reste de certaines formules d’approximation d’une différence divisée par des dérivées, Bul. Inst. Politehn. Iaşi (N.S.), 13(17) (1967) fasc. 3-4, pp. 103-109 (in French) [MR0228859, Zbl 0189.35301]
  • c. T. Popoviciu, On some functions which verify differential inequalities, Differential equations and their applications, Bratislava: Slovenské pedagogiciké nakladatelstvo 1967, pp. 307-314.
  • d. T. Popoviciu, Analiză numerică, vol. 1, Noţiuni introductive de calcul aproximativ, Academia R.S.R., Filiala Cluj, Institutul de Calcul, 248 pp. (litografiat) (in Romanian).
  • e. T. Popoviciu, Sur la conservation de l’allure d’une fonction par interpolation, Colloque sur la théorie des fonctions, Cluj, 15-20 septembre, 1967.
1966
  • a. T. Popoviciu, L’Institut de Calcul de Cluj et les rechereches d’analyse numérique, Rev. Roum. Math. pures appliq., XI (1966) no. 9, pp. 1139-1146 (in French).
  • b. T. Popoviciu, Calcul practic. Ciclu de conferinţe ţinute la AGIR în anul 1949 de T. Popoviciu, Academia R.P.R., Filiala Cluj, Institutul de Calcul, Cluj, 1966, no. 16, 61 pp. (litografiat) (in Romanian).
1965
  • a. T. Popoviciu, Sur les fonctions constantes par segments, Mathematica (Cluj), 7(30) (1965), pp. 333-340 (in French) [MR0202618, Zbl 0146.07803]
  • b. T. Popoviciu, Sur certaines inégalités qui caractérisent les fonctions convexes, An. Şti. Univ. “Al. I. Cuza” Iaşi, Secţ. I a Mat. (N.S.), 11B, (1965), pp. 155-164 (in French) [MR0206178, Zbl 0166.06303]
  • c. T. Popoviciu, Delimitarea erorilor de calcul în interpolarea prin polinoame şi aplicaţii la derivarea şi integrarea numerică, Editura Academiei, 1965.
1964
  • a. T. Popoviciu, Sur une inégalité de N. Levinson, Mathematica (Cluj), 6(29) (1964), pp. 301-306 (in French) [Zbl 0138.27303].
  • b. T. Popoviciu, La simplicité du reste dans certaines formules de quadrature, Mathematica (Cluj), 6(29) (1964), pp. 157-184 (in French) [MR0187396, Zbl 0141.13802]
1963
  • a. T. Popoviciu, Matematica şi cibernetica (in French), vol. “L’homme et la société contemporaine“, Editura Academiei R.P.R., 1963 (in Romanian).
1962
  • a. T. Popoviciu, Sur la conservation par le polynome d’interpolation de L. Féjer, du signe ou de la monotonie de la fonction, An. Şti. Univ. “Al. I. Cuza” Iaşi Secţ. I (N.S.) 8 (1962), pp. 65-84 (in French) [MR0154020, Zbl 0111.06004]
  • b. T. Popoviciu, Aspecte ale legăturii dintre teorie şi practică în matematică, Cercetări filozofice, Acad. RPR, 6 (1962), pp. 1535-1537 (in Romanian).
1961
  • a. T. Popoviciu, Sur la conservation de l’allure de convexité d’une fonction par ses polynomes d’interpolation, Mathematica (Cluj), 3(26) (1961) no. 2, pp. 311-329 (in French) [MR0154019, Zbl 0192.16001].
  • b. T. Popoviciu, Asupra unei teoreme a lui W.A. Markov, Acad. R. P. Romîne, Fil. Cluj, Stud. Cerc. Mat., 12 (1961), pp. 333-355 (in Romanian; English translation of the title: On a theorem of W.A. Markov) [MR0177078]same with 1960d !!
  • c. T. Popoviciu, Razdelemâe raznosti i proizvodnâe, St. Cerc. Mat., Cluj, XI (1960), pp. 85-87 (in Russian)same with 1960f (in Romanian) and 1959c (in French)!!
  • (“Biul naucn. informaţii”, Acad. RPR nr. 2, 1961) (in Russian).
1960
  • a1. T. Popoviciu, Asupra delimitării restului în unele formule de aproximare liniară ale analizei, Acad. R. P. Romîne Fil. Cluj, Stud. Cerc. Mat. (Cluj), 11 (1960) no. 2, pp. 357-362 (in Romanian) [MR0148817, Zbl 0163.30501]translated in French in 1960a2!!
  • a2. T. Popoviciu, Sur la délimitation du reste dans certaines formules d’approximation linéaires de l’analyse, Mathematica (Cluj), 2(25) (1960) no. 1, pp. 159-162 (in French) [MR0129114, Zbl 0098.04101]
  • a3. T. Popoviciu, Sur la délimitation du reste dans les formules d’approximation linéaires de l’analyse, 1960 Symposium on the numerical treatment of ordinary differential equations, integral and integro-differential equations «Centre international provisoire de Calcul» (Rome, 1960) pp. 441-446 Birkhäuser, Basel (in French) [MR0128598]
  • b. T. Popoviciu, Remarques sur la conservation du signe et de la monotonie par certains polynomes d’interpolation d’une fonction d’une variable, Ann. Univ. Sci. Budapest. Eötvös Sect. Math., t. 3-4 (1960/1961), pp. 241-246 (in French) [MR0133631, Zbl 0171.30903]
  • c1. T. Popoviciu, Remarques sur la première et sur la seconde formule de la moyenne du calcul intégral, Mathematica (Cluj), 2(25) (1960) no. 1, pp. 163-169 (in French) [MR0120331, Zbl 0109.28103]same with 1960k !!!
  • c2. T. Popoviciu, Observaţii asupra primei şi celei de a doua formule de medie a calculului integral, Acad. R. P. Romîne Fil. Cluj, Stud. Cerc. Mat., 11 (1960), pp. 363-370 (in Romanian; French title: Remarques sur la première et sur la seconde formule de la moyenne du calcul intégral) [MR0148818, Zbl 0133.30405]same with 1960c !!!
  • d. T. Popoviciu, Sur un théorème de W.A. Markov, Mathematica (Cluj), 2(25) (1960) no. 2, pp. 299-321 (in French) [MR0130942, Zbl 0178.04203]same with 1961b!!
  • e. T. Popoviciu, Remarques sur une formule de la moyenne des différences divisées généralisées, Mathematica (Cluj), 2(25) (1960), pp. 323-324 (in French) [MR0131705, Zbl 0100.06102]
  • f. T. Popoviciu, Diferenţe divizate şi derivate, Acad. R. P. Romîne Fil. Cluj, Stud. Cerc. Mat., 11 (1960) no. 1, pp. 119-145 (in Romanian) [MR0134848]same with 1959c (in French) and 1961c (in Russian)!!
  • g. T. Popoviciu, Asupra preciziei calculului numeric în interpolarea prin polinoame de două variabile, Acad. R. P. Romîne, Fil. Cluj, Stud. Cerc. Mat., 11 (1960) fasc. anexă, pp. 159-165 (in Romanian; French title in abstract: Sur la précision du calcul numérique dans l’interpolation par polynômes à deux variables) [MR0146949]
  • h. T. Popoviciu, Asupra unor inegalităţi între medii, Acad. R. P. Romîne Fil. Cluj, Stud. Cerc. Mat., 11 (1960) 2, pp. 343-355 (in Romanian; French title: Sur quelques inégalités entre moyennes) [MR0148816, Zbl 0133.30502]same with 1959a !!!!
  • i. T. Popoviciu, O dejatel’nosti Clujskogo instituta ţifrovogo iscislenija, Biuleten naucinoi informaţii seria matem., fiziki, himin, tehniceskih nauk, no. 2 (1960), pp. 263-266 (in Russian).same with 1960l ????
  • j. T. Popoviciu, Opera ştiinţifică a lui J. Bolyai, Studia UBB, ser. 1, Mathematica-Physica (1960) fasc. 1, pp. 9-14 (in Romanian).
  • k. T. Popoviciu, Contribuţii ale Institutului de Calcul în unele cercetări de analiză numerică impuse de rezolvarea unor probleme ivite în producţie, Sesiunea ştiinţifică jubiliară a Instit. de mecanică aplicată “T. Vuia” al Academiei RPR, Bucureşti, 4-7 iulie 1960, pp. 57-65 (in Romanian).
  • l. T. Popoviciu, Orientarea şi rezultatele cercetărilor în Institutul de Calcul, Analele Academiei R.P.R., 10 (1960), pp. 117-122 (in Romanian).
1959
  • a. T. Popoviciu, Some inequalities between means, Mathematica (Cluj), 1(24) (1959), pp. 81-93 (in Russian) [MR0122942]same with 1960h !!!!
  • b1. T. Popoviciu, Sur le reste dans certaines formules linéaires d’approximation de l’analyse, Mathematica (Cluj), 1(24) (1959), pp. 95-142 (in French) [MR0129531, Zbl 0091.24603]also published as:
  • b2. T. Popoviciu, Asupra restului în unele formule liniare de aproximare ale analizei, Studii Cerc. Mat., 10 (1959) no. 2, Cluj, pp. 337-389 (in Romanian) [Zbl 0163.30102].
  • c. T. Popoviciu, Différences divisées et dérivés, Mathematica (Cluj), 1(24) (1959) no. 2, pp. 297-319 (in French) [MR0126657, Zbl 0098.04004]-same with 1960g (in Romanian) and 1961c (in Russian)!
  • d. T. Popoviciu, Sur quelques inégalités, Gaz. Mat. Fiz. Ser. A 11 (64) (1959) no. 8, pp. 451-461 (in Romanian) [MR0125925, Zbl 0101.04101]
  • e. T. Popoviciu, 15 ani de la eliberarea patriei noastre, St. Cerc. Mat., 10 (1959) no. 1, Cluj, pp. 7-15.
  • f. T. Popoviciu, Prefaţă la “Mathematica”, 1(24) (1959) fasc. 1, pp. 5-10 (in Romanian, Russian and English).
1957
  • a1. T. Popoviciu, Certains aspects du problème de la précision dans les calcules numériques, Bull. Math. Soc. Sci. Math. Phys. R. P. Roumaine (N.S.), 1(49) (1957), pp. 473-478 (in French) [MR0134450]also published as:
  • a2. T. Popoviciu, Unele aspecte ale problemei preciziei în calculele numerice, Bul. mat. al Soc. Şt. Mat. Fiz. din R.P.R., 1(49) (1957) no. 4, pp. 473-478 (in Romanian).
1955
  • a. T. Popoviciu, Asupra unor ecuaţii funcţionale, Studii şi cerc. ştiinţifice, Cluj, Seria I – Şt. Matematice, Fizice, Chimice şi Tehnice, 6 (1955) nos. 3-4, pp. 37-49 [MR0095356]
  • b. T. Popoviciu, Despre precizia calculului numeric în interpolarea prin polinomul lui Newton cu noduri echidistante, Studii şi cerc. ştiinţifice, Cluj, Seria I – Şt. Matematice, Fizice, Chimice şi Tehnice, 6 (1955) nos. 3-4, pp. 27-35 (with abstract in Russian and French) [MR0095573, Zbl 0068.32402]
  • c. T. Popoviciu, Despre precizia calculului numeric în interpolarea prin polinoame, Bul. ştiinţific, Secţ. de Şt. Matem. şi Fizice, 7 (1955) no. 4, pp. 953-961 [MR0077689]
  • d. T. Popoviciu, Asupra unei generalizări a formulei de integrare numerică a lui Gauss, Studii şi cerc. şt. Iaşi, 6 (1955) nos. 1-2, pp. 29-57 (in Romanian) [MR0085604, Zbl 0068.05003]
  • e. T. Popoviciu, P.137-P.139, Colloquium Mathematicum, vol. III, (1955) no. 2, pp. 171-172.
  • f. T. Popoviciu, Contribuţii ale Institutului de Calcul în unele cercetări de analiză numerică, Sesiunea ştiinţifică jubiliară a Institutului de mecanică aplicată Traian Vuia al Academiei RPR.

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1954
  • a. T. Popoviciu, Les polynômes de S.N. Bernstein et le problème de l’interpolation, Congresul internaţional al matematicienilor, Amsterdam, 1954, pp. 1-2 (City, Publ. House ??).
  • b. T. Popoviciu, Folytonos függvények középértéktételeiröl, Magyar Tud. Akad. Mat. Fiz. Oszt. Közleményei, 4 (1954), pp. 353-356 (in Hungarian; title translated in Romanian: Despre teoremele de medii ale funcţiilor continue; title translated in English: About mean value theorems of continuous functions) [MR0065600, Zbl 0059.04502]republished in English in 2004:T. Popoviciu, On the mean-value theorem for continuous functions (translated by Z. Finta), East J. Approximations, 10 (2004) no. 3, pp. 379-382 [MR2076896]
1953
  • a. T. Popoviciu, Asupra aplicării algoritmului lui Euclid pentru aflarea c.m.m.d.c. a două numere, Studii şi cerc. ştiinţifice, Cluj, 4 (1953) nos. 1-2, pp. 59-63 (in Romanian).
  • b. T. Popoviciu, Asupra unei probleme de partiţie a numerelor, Studii şi cerc. ştiinţifice, Cluj, 4 (1953) nos. 1-2, pp. 7-58 (in Romanian).
1952
  • a. T. Popoviciu, Asupra restului în unele formule de derivare numerică, Studii şi cerc. matematice, 3 (1952) nos. 1-2, pp. 53-122 (in Romanian) [MR0065603]
  • b. T. Popoviciu, Asupra polinoamelor cu toate rădăcinile reale, Studii şi cerc. ştiinţifice, Cluj, 3 (1952) nos. 1-2, pp. 7-10 (in Romanian).
1951
  • a. T. Popoviciu, Consideraţii teoretice asupra utilizării practice a unor formule de interpolare, Bul. şt. Acad. R.P.R., 3 (1951) no. 4, pp. 441-449 (in Romanian) [MR0060550]
1950
  • a. T. Popoviciu, Asupra demonstraţiei teoremei lui Weierstrass cu ajutorul polinoamelor de interpolare, Lucrările ses. generale a Acad. R.P.R., pp. 1664-1667 (in Romanian; title translated in English: On the proof of Weierstrass’ theorem with the aid of interpolation polynomials).republished in English, in 1998:T. Popoviciu, On the proof of Weierstrass’ theorem using interpolation polynomials (translated by D. Kacsó), East J. Approximations, 4 (1998) no. 1, pp. 107-110 [MR1613802 (99c:41012) , Zbl 0914.41001]
  • b. T. Popoviciu, Asupra formei restului în unele formule de aproximare ale analizei, Lucrările ses. generale ştiinţifice a Acad. R.P.R., 2-12 iunie 1950, pp. 183-186 (in Romanian).
  • c. T. Popoviciu, Asupra funcţiilor de o variabilă reală a căror mulţime de definiţie este reunirea a două submulţimi de monotonie opusă, Analele Acad. R.P.R., t. III (1950) Mem. 1, pp. 1-16 (in Romanian) [MR0043871]
1948
  • a. T. Popoviciu, Sur certaines inegalités entre les zeros, supposés tous réels, d’un polynôme et ceux de sa deriveé, Ann. Sci. Univ. Iassy, 30 (1944-1947 publ. 1948), pp. 191-218 (in French) [MR0027899, Zbl 0031.00303]
  • b. T. Popoviciu, Sur une inegalité, Mathematica, 23 (1947-1948), pp. 127-128 (in French) [MR0027024]
  • c. T. Popoviciu, Sur la formule des accroissements finis, Mathematica, 23 (1947-1948), pp. 123-126 (in French) [MR0027037, Zbl 0031.11704]
  • d. T. Popoviciu, Curs de algebră superioară: numere reale şi complexe, noţiuni de teoria numerelor, vol. I-II, 1948, XX pp.
1947
  • a. T. Popoviciu, Elemente de analiză matematică, 1947 [curs universitar], XX pp.
1946
  • a. T. Popoviciu, Asupra indicatorilor, Gazeta matematică, 51 (1946), pp. 306-313 (in Romanian) [MR0015403]
  • b. T. Popoviciu, Asupra unei inegalităţi, Gazeta matematică, 51 (1946), pp. 81-85 (in Romanian) [MR0015436, ZBL?? Aceeasi p. cu les fonctions convexes]
1945
  • a. T. Popoviciu, Asupra unui articol, Gazeta matematică, 50, pp. 425-426 (in Romanian).
  • b. T. Popoviciu, Asupra distribuţiei numerelor prime, Gazeta matematică, 50, pp. 241-245 (in Romanian).
1944
  • a. T. Popoviciu, Les fonctions convexes, Actualités scientifiques et industrielles, fasc. 992, 75 pp., Hermann & Cie (Eds.), Paris, 1944 (in French) [MR0018705, Zbl 0060.14911]
  • b. T. Popoviciu, Asupra notei 14 din Gazeta matematică, XLIX, p. 239, Gazeta matematică, 49, pp. 343-344 (in Romanian).
1942
  • a. T. Popoviciu, Sur les l’approximations des fonctions continues d’une variable réelle par des polynomes, Ann. Sci. Univ. Iassy, 28 (1942) p. 208 (in French) [MR0018270].
  • b. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (X), Ann. Sci. Univ. Iassy, 28 (1942), pp. 161-207 (in French) [MR0019679, Zbl 0060.14910].
  • c. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (IX), Bull. Math. de la Soc. Roum. des Sci., 43 (1942), pp. 85-141 (in French) [MR0013170, Zbl 0060.14909].
  • d. T. Popoviciu, Notes sur les généralisations des fonctions convexes d’ordre supérieur (IV), Disquisitiones mathematicae et physicae, 2 (1942), pp. 127-148 (in French) [MR0021039, JFM 68.0126.03]
  • e. T. Popoviciu, Asupra problemei 2469, Gazeta matematică, 48, pp. 109-112 (in Romanian).
  • f. T. Popoviciu, Asupra problemei 1885, Gazeta matematică, 47, pp. 411-413 (in Romanian).
  • g. T. Popoviciu, Notes sur les généralisations des fonctions convexes d’ordre supérieur (III), Bull. de la Sect. sci. de l’Acad. Roum., 24 (1942) no. 6, pp. 409-416 (in French) [MR0025528, JFM 68.0126.02]
  • h. T. Popoviciu, Memoriu de titluri şi lucrări T. Popoviciu, [cu CV], Ediţia a III-a, Cluj, 1942 (69 pp.) (in Romanian).
1941
  • a. T. Popoviciu, Asupra poligoanelor regulate, Pozitiva, 2 (1941), pp. 92-97 (in Romanian) [MR0017921].
  • b. T. Popoviciu, Quelques remarques sur une théorème de M. D. Pompeiu, Bull. Math. de la Soc. Roum. des Sci., 43 (1941), pp. 27-44 (in French) [MR0012412, Zbl 0060.34208].
  • c. T. Popoviciu, Asupra problemei 2552, Gazeta matematică, 46, pp. 637-638 (in Romanian).
  • d. T. Popoviciu, Asupra problemei 2337, Gazeta matematică, 46, pp. 356-358 (in Romanian).
  • e. T. Popoviciu, Soluţia şi generalizarea problemei 1876, Gazeta matematică, 46, pp. 345-350; 512-519 (in Romanian). [JFM 67.0059.02].
  • f. T. Popoviciu, Asupra problemei 4385, Gazeta matematică, 46, pp. 237-241 (in Romanian).
  • g. T. Popoviciu, Curs de calcul diferenţial şi integral, partea I., Bucureşti, 1940-1941, XX pp. (litografiat) (in Romanian).
1940
  • a. T. Popoviciu, Introduction à la théorie des différences divisées, Bull. Math. de la Soc. Roum. des Sci., t. 42 (1940), pp. 65-78 (in French) [MR0013171, Zbl 0025.39803,JFM 66.0389.01].
  • b. T. Popoviciu, Despre şirurile monotone, Pozitiva, 1 (1940), pp. 41-45 (in Romanian) [MR0019133].
  • c. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (IV), Disquisitiones mathematicae et physicae, 1 (1940) no. 2, pp. 162-171 (in French) [MR0021040, JFM 66.0242.01].
  • d. T. Popoviciu, Notes sur les généralisations des fonctions convexes d’ordre supérieur (II), Bull. de la Sect. Sci. de l’Acad. Roum., 22 (1940) no. 10, pp. 473-477 (in French) [MR0003435, JFM 66.0241.02].
  • e. T. Popoviciu, Notes sur les généralisations des fonctions convexes d’ordre supérieur (I), Disquisitiones mathematicae et physicae, 1 (1940), pp. 35-42 (in French) [MR0021038JFM 66.0241.01].
  • f. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (V), Bull. de la Sect. Sci. de l’Acad. Roum., 22 (1940), pp. 351-356 (in French) [MR0002561, JFM 66.0242.02].
  • g. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (III), Mathematica, 16 (1940), pp. 74-86 (in French) [MR0002560, JFM 66.0241.03].
  • h. T. Popoviciu, Asupra problemei 3209, Gazeta matematică, 46, pp. 122-130; 179-185 (in Romanian).
  • i. T. Popoviciu, Observaţie asupra problemei 3365, Gazeta matematică, 46, pp. 1140-1141 (in Romanian).
  • j. T. Popoviciu, Asupra formelor hermitiene, Gazeta matematică, 46, pp. 29-31 (in Romanian). [JFM 66.0048.04].
  • k. T. Popoviciu, Încă ceva despre problema 3911, Gazeta matematică, 45, pp. 578-579 (in Romanian).
  • l. T. Popoviciu, Asupra problemei 3354, Gazeta matematică, 45, pp. 472-475 (in Romanian).
  • m. T. Popoviciu, Asupra problemei 4258, Gazeta matematică, 45, p. 302 (in Romanian).
  • n. T. Popoviciu, Asupra problemei 4567, Gazeta matematică, 45, pp. 232-238 (in Romanian). [JFM 66.0246.01].
  • o. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (VI), Revue Mathématique de l’Union Interbalkanique, 2 (1939-1940), pp. 31-40 (in French) [MR0001253, JFM 65.0213.04Zbl 0021.39403].
1939
  • a. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (VIII), Bull. de la Sect. Sci, de l’Acad. Roum, 22 (1939) no. 1, pp. 34-41 (in French). [JFM 65.0214.02].
  • b. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (VII), Bull. de la Sect. Sci. de l’Acad. Roum., 22 (1939) no. 1, pp. 29-33 (in French) [MR0001254, Zbl 0024.02201, JFM 65.0214.01].
  • c. T. Popoviciu, Sur quelques inegalités entre les fonctions convexes (III), Comptes Rendus de l’Instit. des Sci. de Roumanie, 3 (1939) no. 4, pp. 396-402 (in French) [Zbl 0021.30305, JFM 65.0215.01].
  • d. T. Popoviciu, Asupra unei probleme din teoria ecuaţiilor algebrice, Gazeta matematică, 44, pp. 362-364 (in Romanian).
1938
  • a. T. Popoviciu, Sur le prolongement des fonctions monotones et des fonctions convexes definies sur un nombre fini de points, Bull. de le Sect. sci de l’Acad. Roum., 20 (1938) no. 7, pp. 196-199 (in French) [Zbl 0021.11702, JFM 64.1025.02].
  • b. T. Popoviciu, Sur l’approximation des fonctions convexes d’ordre supérieur (II), Bull. de la Sect. sci. de l’Acad. Roum., 20 (1938) no. 7, pp. 50-53; 192-195 (in French) [Zbl 0021.11701,JFM 64.1025.01].
  • c. T. Popoviciu, Deux remarques sur les fonctions convexes, Bull. de la Sect. sci. de l’Acad. Roum., 20 (1938) no. ?, pp. 45-49 (in French) [Zbl 0021.11605, JFM 64.1024.03].de scanat şi pag cu cuprinsul
  • d. T. Popoviciu, Sur quelques inegalités entre les fonctions convexes (II), Comptes Rendus de l’Instit. de Sci. de Roum., 2 (1938), pp. 454-458 (in French) [Zbl 0019.29805,JFM 64.0202.02].nu are cuprins
  • e. T. Popoviciu, Sur quelques inegalités entre les fonction convexes (I), Comptes Rendus des séances de l’Académie des Sciences de Roumanie, 2 (1938), pp. 449-454 (in French) [Zbl 0019.29805,JFM 64.0202.02].nu e bun cuprinsul
  • f. T. Popoviciu, Sur les diffèrences des fonctions d’une variable réelle, Comptes Rendus des séances de l’Académie des Sciences de Roumanie, 2 (1938) no. 2, pp. 112-114 (in Romanian) [Zbl 0018.25001, JFM 64.0205.03].
  • g. T. Popoviciu, Sur les solutions bornées et les solutions mesurables de certaines équations fonctionnelles, Mathematica, 14 (1938), pp. 47-106 (in French) [Zbl 0021.13701, JFM 64.0417.03].
  • h. T. Popoviciu, Asupra notei 16 din Gazeta matematică, vol.40, pag. 117, Gazeta matematică, 44, p. 301 (in Romanian).
  • i. T. Popoviciu, Asupra unei metode de cuadratură aproximativă, Gazeta matematică, 43, pp. 246-248 (in Romanian) [JFM 63.0532.02].
  • j. T. Popoviciu, Curs de matematici generale – ţinut în anul şcolar 1937-38 de conf. dr. Tib. Popoviciu, împreună cu 202 probleme propuse la seminar şi 98 figuri în text, 1938; acest curs a fost scris [dactilografiat] şi figurile executate de Scurei P. Emilian, student chimist.
1937
  • a. T. Popoviciu, Despre cea mai bună aproximaţie a funcţiilor continue prin polinoame, Monografii matematice, fasc. III, Cluj, Institutul de Arte Grafice “Ardealul”, (66 pp.) (in Romanian) [JFM 63.0959.03].
  • b. T. Popoviciu, Memoriu de titluri şi lucrări T. Popoviciu, [cu CV], Ediţia a II-a, Tipografia “Ardealul”, Cluj, 1937, 22 pp. (in Romanian).
  • c1. T. Popoviciu, Observaţii asupra maximului unui determinant al cărui elemente sunt toate nenegative, Bul. Soc. de Şt. din Cluj, 8 (1937), pp. 572-582 (in Romanian ??). translation in French republished inc2. T. Popoviciu, Remarques sur le maximum d’un determinant dont tout les éléments sont non-negatifs, Mathematica 13 (1937), pp. 212-222 (in French) [Zbl 0018.09702, JFM 63.0852.01, JFM 63.0035.02].it keeps the header of Bul. Soc. St. Cluj.
  • d. T. Popoviciu, Despre rădăcinile comune la mai multe ecuaţii multinome, Gazeta matematică, 42, pp. 569-576 (in Romanian) [JFM 63.0047.03].
  • e. T. Popoviciu, Asupra problemei 1058, Gazeta matematică, 42, p. 248 (in Romanian).
  • f. Th. Angheluţă, Gh. Călugăreanu, P. Montel, T. Popoviciu, Exerciţii şi probleme de analiză, teoria funcţiilor şi mecanică raţională, 1937, x pp., Editura Universităţii din Cluj (in Romanian).
1936
  • a. T. Popoviciu, Sur les directions d’indetermination complète d’une fonction elliptique, Bulletin des Sciences Mathématiques, 2e série, année 193, t. LX (1936), pp. 196-198 (in French) [Zbl 0014.40803, JFM 62.0429.03].
  • b. T. Popoviciu, Sur certaines problèmes de maximum de Stieltjes, Bull. Math. de la Soc. Roum. des Sci., 38 (1936) no. 1, pp. 73-96 (in French) [JFM 62.0268.04].de scos prima pagina, e de ajuns a doua ! a doua se face fara OCR
  • c. T. Popoviciu, Sur un problème de maximum de Stieltjes, Comptes Rendus de l’Acad. des Sci. de Paris, 202 (1936), pp. 1645-1647 (in French) [Zbl 0014.20902, JFM 62.0269.01].de rotit 90grade
  • d. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (II), Mathematica, 12 (1936), pp. 227-233 (in French) [Zbl 0015.25002, JFM 62.0240.01].
  • e. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (I), Mathematica, 12 (1936), pp. 81-92 (in French) [JFM 62.0239.04].
  • f. T. Popoviciu, Remarques sur la definition fonctionnelle d’un polynôme d’une variable réelle, Mathematica, 12 (1936), pp. 5-12 (in French) [Zbl 0015.34403, JFM 62.0429.02].
  • g. T. Popoviciu, Despre o inegalitate a lui Wolstenholme, Gazeta matematică, 41, pp. 135-138 (in Romanian).
  • h. T. Popoviciu, Asupra curbelor plane, Gazeta matematică, 41, pp. 613-619 (in Romanian) [JFM 62.0811.04].
  • i. T. Popoviciu, Asupra problemei 457 din Gazeta matematică, vol. 7, pag. 84, Gazeta matematică, 41, pp. 285-288 (in Romanian).
1935
  • a. T. Popoviciu, Sur les équations algebriques ayant toutes leurs racines réelles, Mathematica, 9 (1935), pp. 129-145 (in French) [Zbl 0014.10003, JFM 61.0998.05].
  • b. T. Popoviciu, Sur une condition suffisante pour qu’un polynôme soit positif, Mathematica, 11 (1935), pp. 247-256 (in French) [Zbl 0013.10002, JFM 61.1000.01].
  • c. T. Popoviciu, Quelques propriétés des équations algebriques dont les équations derivées ont toutes leurs racines réelles, Mathematica, 11 (1935), pp. 205-221 (in French) [Zbl 0013.10001, JFM 61.0999.01].
  • d. T. Popoviciu, Sur certaines équations fonctionnelles definissant des polynômes, Mathematica, 10 (1935), pp. 194-208 (in French) [Zbl 0010.29504, JFM 61.0433.01].
  • e. T. Popoviciu, Sur l’approximation des fonctions convexes d’ordre supérieur (I), Mathematica, 10 (1935), pp. 49-54 (in French) [JFM 61.0295.01].
  • f. T. Popoviciu, Remarques sur les équations algebriques dont les équations derivées ont toutes leurs racines réelles, Comptes Rendus de l’Acad. des Sci. de Paris, 200 (1935), pp. 184-186 (in French) [Zbl 0010.38801, JFM 61.0076.01].
  • g. T. Popoviciu, Despre determinarea unor funcţii de mai multe variabile, Ştiinţă şi progres, 1 (1935) no. 8, pp. 217-221 (in Romanian).
  • h. T. Popoviciu, Observaţii asupra ecuaţiilor algebrice având toate rădăcinile reale, Gazeta matematică, 41, pp. 67-68 (in Romanian) JFM 61.0075.09 .
  • i. T. Popoviciu, Despre funcţiile alternate de mai multe variabile independente, Revista matematică din Timişoara, 15 (1935), pp. 73-76 (in Romanian) [JFM 62.1081.03].
  • j. T. Popoviciu, Despre extragerea rădăcinii dintr-un polinom de o variabilă independentă, Revista matematică din Timişoara, 15 (1935), pp. 49-51 (in Romanian) [JFM 62.1086.04].
  • k. T. Popoviciu, Sur un théorème de Laguerre, Mathematica, 10 (1935), pp. 128-131 (in French) [Zbl 0010.24503, JFM 61.0376.04]it is the translation in French of 1934c. ???
1934
1933
  • a. T. Popoviciu, Sur quelques propriétés des fonctions d’une ou de deux variables réelles, Thése, Paris, 1933 (in French) [JFM 59.0988.06]. Republished in Mathematica (see 1934g above)
  • b. T. Popoviciu, Asupra notei 40 din Gazeta matematică, vol. 37, p. 446, Gazeta matematică, 38, pp. 174-175 (in Romanian).
1932
  • a1. T. Popoviciu, Asupra polinoamelor cari formează un şir Appell, Bull. Mathematique de la Soc. Roumaine des Sciences, 33/34 (1932), pp. 11-21 (in Romanian) [JFM 58.1100.02]; (nota întâi – first note).
  • a2. T. Popoviciu, Asupra polinoamelor cari formează un şir Appell, Bull. Mathematique de la Soc. Roumaine des Sciences, 33/34 (1932), pp. 22-27 (in Romanian) [JFM 58.1100.02]; (nota a doua – second note).
  • b. T. Popoviciu, Asupra problemei 2308 şi asupra notei 3 din Gazeta matematică, vol. 21, p.17, Gazeta matematică, 38, pp. 131-133 (in Romanian).
  • c. T. Popoviciu, Asupra notei 10 din Gazeta matematică, vol. 37, p. 92., Gazeta matematică, 38, p. 88 (in Romanian).
  • d1. T. Popoviciu, Observaţii asupra polinoamelor binomiale, Buletinul Soc. de Ştiinţe din Cluj, 6, pp.146-148 (in Romanian).republished translated in French:
  • d2. T. Popoviciu, Remarques sur les polynômes binomiaux, Mathematica, 6 (1932), pp. 8-10 (in French) [JFM 58.0376.06].
1931
  • a1. T. Popoviciu, Sur les suites de polynômes, Buletinul Soc. de Ştiinţe din Cluj, 5 (1931), pp. 492-504 (in French) [JFM 57.1349.03].republished:
  • a2. T. Popoviciu, Sur les suites de polynômes, Mathematica, 5 (1931), pp. 36-48 (in French) [Zbl 0002.25305, JFM 57.0127.01].
  • b. T. Popoviciu, Asupra unui determinant, Gazeta matematică, 35, pp. 405-408 (in Romanian) [JFM 56.0102.02].
  • c. T. Popoviciu, Asupra indicilor, Gazeta matematică, 36, p. 259 (in Romanian).
1930
  • a. T. Popoviciu, Sur les fonctions convexes d’une variable réelle, Comptes Rendus de l’Academie des Sciences de Paris, 190 (1930), pp. 1481-1483 (in French) [JFM 56.0241.03].
  • b1. T. Popoviciu, Observaţii despre polinoamele de cea mai bună aproximaţie, Buletinul Soc. de Ştiinţe din Cluj, 5 (1930), pp.279-286 (in Romanian) [JFM 57.1428.01]. republished translated in French:
  • b2. T. Popoviciu, Remarques sur les polynômes de meilleure approximation, Mathematica, 4 (1930), pp. 73-80 (in French) [JFM 56.0933.01].
  • c. T. Popoviciu, Sur les indicateurs, Bull. Sc. de l’Ecole Polytechnique de Timişoara, 3 (1930) nos. 1-2, pp. 72-80 (in French) [JFM 56.0873.01].
  • d. T. Popoviciu, Asupra numărului indicatorilor unui număr dat, Gazeta matematică, 36, pp. 86-90 (in Romanian) [JFM 56.0157.01].
  • e. T. Popoviciu, Asupra unei probleme de aritmetică, Revista de matematică din Timişoara, 9 (1930) no. 11, pp. 128-129 (in Romanian).
  • f. T. Popoviciu, Asupra unei note matematice, Revista de matematică din Timişoara, 9 (1930) no. 11, p. 128 (in Romanian).
1929
  • a. T. Popoviciu, Sur certaines polynômes minimisants, Bull. de la Sect. Sci. de L’Acad. Roumaine, 12 (1929) no. 6, pp. 133-136 (in French) [JFM 55.0075.01].
  • b. T. Popoviciu, Asupra unei ecuaţiuni diferenţiale, Gazeta matematică, 34, pp. 417-420 (in Romanian) [JFM 54.0397.02].
  • c. T. Popoviciu, O problemă asupra indicatorilor, Revista de matematică din Timişoara, 9 (1929) no. 9, p. 101 (in Romanian) (Note matematice, nota nr. 23).
  • d. T. Popoviciu, Asupra unei teoreme de aritmetică, Revista de matematică din Timişoara, 9 (1929) no. 9, pp. 99-101 (in Romanian) (Note matematice, nota nr. 22).
  • e. T. Popoviciu, Asupra problemei 85, Revista de matematică din Timişoara, 9 (1929) no. 5, p. 52 (in Romanian) (Note matematice, nota nr. 13).
  • f. T. Popoviciu, Asupra unei probleme de algebră, Revista matematică din Timişoara, 9 (1929) no. 4, pp. 37-39 (in Romanian).
1928
  • a. T. Popoviciu, Asupra geometriei unui triunghi deformabil în echilibru, Gazeta matematică, 33, pp. 284-289 (in Romanian) [JFM 53.0745.01].
  • b. T. Popoviciu, Asupra descompunerii unui trinom cu coeficienţii raţionali, Revista matematică din Timişoara, 7 (1928) no. 12, pp. 195-198 (in Romanian).
  • c. T. Popoviciu, Asupra unei probleme de algebră, Curierul matematic, 3 (1928), pp. 162-165 (in Romanian).
1927
  • a. T. Popoviciu, Asupra unui articol, Revista matematică din Timişoara, 7 (1927) no. 8, p. 128 (in Romanian).
  • b. T. Popoviciu, Asupra unui articol, Revista matematică din Timişoara, 7 (1927) no. 7, p. 109 (in Romanian) (Note matematice, nota nr. 13).
  • c. T. Popoviciu, Geometrie şi Mecanică, Revista matematică din Timişoara, 7 (1927), p. 109 (in Romanian) (Note matematice, nota nr. 12).
  • d. T. Popoviciu, Asupra funcţiunilor pseudo-omogene, Revista matematică din Timişoara, 7 (1927) no. 7, p. 109 (in Romanian) (Note matematice, nota nr. 11).
  • e. T. Popoviciu, Generalizarea unui determinant, Revista matematică din Timişoara, 7 (1927) no. 4, pp. 59-60 (in Romanian).
  • f. T. Popoviciu, Asupra formulei binomului, Arad, 7 pp. (editura autorului) (in Romanian).
  • g. T. Popoviciu, Asupra unor polinoame remarcabile, Arad, 93 pp. (editura autorului) (in Romanian).
  • h. T. Popoviciu, Asupra unor polinoame cari formează un şir Appell, Curierul matematic, 3 (1927) no. 9, pp. 145-152 (in Romanian).
  • i. T. Popoviciu, Asupra unei formule diferenţiale, Curierul matematic, 3 (1927), pp. 119-122 (in Romanian).
  • j. T. Popoviciu, Substituţiunile lineare şi un sistem de ecuaţiuni funcţionale, Curierul matematic, 3 (1927), pp. 97-102 (in Romanian).
  • k. T. Popoviciu, Asupra unei operaţii funcţionale, Curierul matematic, 3 (1927), pp. 69-70 (in Romanian).
  • l. T. Popoviciu, Asupra curbelor plane, Curierul matematic, 3 (1927), pp. 33-41 (in Romanian).
  • m. T. Popoviciu, Asupra funcţiilor eliptice, Curierul matematic, 3 (1927), pp. 9-10 (in Romanian).
  • n. T. Popoviciu, Asupra unui determinant, Curierul matematic, 2 (1927), pp. 202-203 (in Romanian).
1926
  • a. T. Popoviciu, Funcţii pseudo-simetrice, Gazeta matematică, 31, p. 455 (in Romanian).
  • b. T. Popoviciu, Generalizarea unei proprietăţi a seriei lui “e”. Revista matematică din Timişoara, 6 (1926) no. 6, pp. 83-85 (in Romanian).
  • c. T. Popoviciu, Geometrie şi Mecanică, Foaia matematică, 3 (1926), pp. 151-153 (in Romanian).
  • d. T. Popoviciu, A doua notă asupra seriilor lui Bertrand, Buletinul Societăţii studenţilor în matematici, 2 (1926), pp. 2-7 (in Romanian).
  • e. T. Popoviciu, Prima notă asupra seriilor lui Bertrand, Buletinul Societăţii studenţilor în matematici, 2 (1926), pp. 12-21 (in Romanian).
  • f. T. Popoviciu, Discriminantul unei ecuaţii algebrice, Buletinul Societăţii studenţilor în matematici, 4 (1926), pp. 35-38 (in Romanian).
  • g. T. Popoviciu, Teoreme de geometrica triunghiului, Buletinul Societăţii studenţilor în matematici, 4 (1926), pp. 21-24 (in Romanian).
  • h. T. Popoviciu, Câteva proprietăţi ale polinoamelor lui Laguerre, Buletinul Societăţii studenţilor în matematici, ??? (1926), pp. 25-30 (in Romanian).
  • i. T. Popoviciu, Asupra unor determinanţi şi a ecuaţiilor lor caracteristice, Curierul matematic, 2 (1926), pp. 161-164 (in Romanian).
  • j. T. Popoviciu, Asupra unor identităţi algebrice, Curierul matematic, 2 (1926), pp. 113-118 (in Romanian).
  • k. T. Popoviciu, Generalizarea unui determinant funcţional, Curierul matematic, 2 (1926), p. 87 (in Romanian).
  • l. T. Popoviciu, Asupra unor puncte coliniare, Curierul matematic, 2 (1926), pp. 65-68 (in Romanian).
  • m. T. Popoviciu, Asupra seriei ipergometrice, Curierul matematic, 1 (1926), pp. 177-182 (in Romanian).
1925
  • a. T. Popoviciu, Asupra coeficienţilor binomiali, Revista matematică din Timişoara, 5 (1925), pp. 99-102 (in Romanian).
  • b. T. Popoviciu, Asupra calculării discriminantului ecuaţiei de gr. III, Revista matematică din Timişoara, 5 (1925) no. 5, p. 71 (in Romanian).
  • c. T. Popoviciu, Asupra unor determinanţi şi a ecuaţiilor lor caracteristice, Revista matematică din Timişoara, 5 (1925) no. 2, pp. 19-21 (in Romanian).
  • d. T. Popoviciu, Asupra polinoamelor ultrasferice, Buletinul Societăţii studenţilor în matematici, ??? (1925), pp. 32-38 (in Romanian).
  • e. T. Popoviciu, Asupra unor polinoame remarcabile. Buletinul Societăţii studenţilor în matematici, ??? (1925), pp. 12-19 (in Romanian).
  • f. T. Popoviciu, Asupra unei identităţi, Curierul matematic, 1 (1925), pp. 134-136 (in Romanian).
  • g. T. Popoviciu, Asupra conicelor circumscrise unui triunghi, Curierul matematic, 1 (1925), p. 74 (in Romanian).
  • h. T. Popoviciu, Asupra formulei binomului şi a factorialei, Curierul matematic, 1 (1925), pp. 36-39; 51-53 (in Romanian).
  • i. T. Popoviciu, Asupra ecuaţiei algebrice, Jurnal matematic, 2 (1925), pp. 129-132 (in Romanian).
  • j. T. Popoviciu, Asupra funcţiunei exponenţiale, Jurnal matematic, 2 (1925), pp. 113-120 (in Romanian).
  • k. T. Popoviciu, Asupra unei integrale a lui Hermite, Jurnal matematic, 2 (1925), pp. 106-107 (in Romanian).
  • l. T. Popoviciu, Asupra funcţiunii exponenţiale, Jurnal matematic, 2 (1925), pp. 99-105 (in Romanian).
  • m. T. Popoviciu, O generalizare a funcţiei gamma, Jurnal matematic, 2 (1925), pp. 85-92; 120-129 (in Romanian).
  • n. T. Popoviciu, Asupra unei dezvoltări polinomiale, Jurnal matematic, 2 (1925), pp. 72-75 (in Romanian).
  • o. T. Popoviciu, Asupra restului diviziunilor prin polinoame, Jurnal matematic, 2 (1925), pp. 69-72 (in Romanian).
  • p. T. Popoviciu, Generalizarea unei relaţii asupra combinărilor, Jurnal matematic, 2 (1925), pp. 68-69 (in Romanian).
  • q. T. Popoviciu, Asupra diametrelor conjugate la curbele algebrice, Jurnal matematic, 2 (1925), pp. 50-51 (in Romanian).
  • r. T. Popoviciu, O teoremă asupra triunghiurilor echibrocardiene, Jurnal matematic, 2 (1925), pp. 49-50 (in Romanian).
  • s. T. Popoviciu, Observări asupra unei însumări, Jurnal matematic, 2 (1925), pp. 46-49 (in Romanian).
  • t. T. Popoviciu, Asupra diferenţelor finite, Jurnal matematic, 2 (1925), pp. 34-46; 57-61 (in Romanian).
  • u. T. Popoviciu, O îndreptare, Jurnal matematic, 2 (1925), pp. 29-34 (in Romanian).
  • v. T. Popoviciu, Asupra transformărilor ortogonale, Jurnal matematic, 2 (1925), pp. 21-23 (in Romanian).
  • w. T. Popoviciu, Asupra unor determinanţi, Jurnal matematic, 2 (1925), pp. 17-23 (in Romanian).
  • x. T. Popoviciu, Asupra sumei puterilor asemenea a termenilor unei progresii aritmetice, Jurnal matematic, 2 (1925), pp. 12-17 (in Romanian).
  • y. T. Popoviciu, Asupra suprafeţelor n-dimensionale, Jurnal matematic, 2 (1925), pp. 3-12 (in Romanian).
1924
  • a. T. Popoviciu, Relaţiuni între unghiurile unui triunghi, Revista matematică din Timişoara, 4 (1924) no. 5, pp. 67-69 (in Romanian).
1923
  • a. T. Popoviciu, Teoreme asupra poligoanelor regulate, Jurnal matematic, 1 (1923), pp. 135-141 (in Romanian).
  • ă. T. Popoviciu, Determinanţi pseudo-simetrici, Jurnal matematic, 1 (1923), pp. 129-132 (in Romanian).
  • â. T. Popoviciu, Asupra curbelor de clasa a treia analagmatice în coordonate tangenţiale triliniare, Jurnal matematic, 1 (1923), pp. 126-129 (in Romanian).
  • b. T. Popoviciu, Asupra seriilor divergente, Jurnal matematic, 1 (1923), pp. 121-125 (in Romanian).
  • c. T. Popoviciu, Asupra metodei lui Bernoulli pentru aproximarea rădăcinilor unei ecuaţii algebrice, Jurnal matematic, 1 (1923), pp. 113-116 (in Romanian).
  • d. T. Popoviciu, Asupra unei însumări, Jurnal matematic, 1 (1923), pp. 102-105; 109-113 (in Romanian).
  • e. T. Popoviciu, Asupra polinoamelor lui Legendre, Jurnal matematic, 1 (1923), pp. 97-101 (in Romanian).
  • f. T. Popoviciu, Asupra unei teoreme din geometria triunghiului, Jurnal matematic, 1 (1923), p. 81 (in Romanian).
  • g. T. Popoviciu, Asupra polului şi polarei triunghiulare, Jurnal matematic, 1 (1923), p. 90 (in Romanian).
  • h. T. Popoviciu, O proprietate remarcabilă a dreptei lui Gauss în legătură cu un triunghi, Jurnal matematic, 1 (1923), pp. 78-80 (in Romanian).
  • i. T. Popoviciu, O teoremă de geometrie, Jurnal matematic, 1 (1923), pp. 77-78 (in Romanian).
  • î. T. Popoviciu, Asupra progresiilor cu mai multe raţii, Jurnal matematic, 1 (1923), pp. 68-70 (in Romanian).
  • j. T. Popoviciu, Asupra ecuaţiei de gradul II, Jurnal matematic, 1 (1923), pp. 66-68 (in Romanian).
  • k. T. Popoviciu, Câteva puncte, drepte şi conice remarcabile într-un triunghi, Jurnal matematic, 1 (1923), pp. 61-66; 73-76 (in Romanian).
  • l. T. Popoviciu, Două cubice analagmatice, Jurnal matematic, 1 (1923), p. 57 (in Romanian).
  • m. T. Popoviciu, Asupra triunghiurilor speciale, Jurnal matematic, 1 (1923), pp. 54-56 (in Romanian).
  • n. T. Popoviciu, Asupra calculului modulului sistemului de logaritmi zecimali, Jurnal matematic, 1 (1923), pp. 44-46 (in Romanian).
  • o. T. Popoviciu, O generalizare, Jurnal matematic, 1 (1923), pp. 41-43 (in Romanian).
  • p. T. Popoviciu, Generalizarea teoremelor lui Franke şi Kariya, Jurnal matematic, 1 (1923), pp. 37-39 (in Romanian).
  • q. T. Popoviciu, O chestiune de aritmetică, Jurnal matematic, 1 (1923), pp. 31-33 (in Romanian).
  • r. T. Popoviciu, Generalizarea teoremelor lui Franke şi Kariya, Jurnal matematic, 1 (1923), pp. 25-30 (in Romanian).
  • s. T. Popoviciu, Asupra funcţiunilor pseudo-omogene, Jurnal matematic, 1 (1923), pp. 13-19 (in Romanian).
  • t. T. Popoviciu, Asupra unei probleme, Jurnal matematic, 1 (1923), pp. 7-11 (in Romanian).
  • u. T. Popoviciu, O demonstraţie a teoremei lui Simson, Jurnal matematic, 1 (1923), pp. 6-7 (in Romanian).
  • v. T. Popoviciu, Asupra unor ceviene într-un triunghi, Jurnal matematic, 1 (1923), pp. 1-5 (in Romanian).
  • w. T. Popoviciu, Asupra problemei 3124, Gazeta matematică, 30, p. 94 (in Romanian).
  • x. T. Popoviciu, Asupra triunghiurilor în care avem a=(b²+c²)/(b+c), Revista matematică din Timişoara, 3 (1923) no. 7, pp. 102-104 (in Romanian).
  • y. T. Popoviciu, Asupra problemei 3018, Gazeta matematică, 29, p. 89 (in Romanian).
  • z. T. Popoviciu, Generalizarea teoremei lui Franke, Gazeta matematică, 28, pp. 409-410 (in Romanian).
Summary

Tiberiu Popoviciu is one of the greatest Romanian mathematicians. [acad. C. Iacob – link soon]

Tiberiu Popoviciu is the most important mathematician given by Transylvania, after János Bolyai. [acad. C. Iacob – link soon]

Tiberiu Popoviciu has set the foundations of the Numerical Analysis in Romania. [acad. M. Nicolescu – link soon]

Tiberiu Popoviciu has important contributions in the foundation of the Computer Science in Romania (hardware & software):

  • a few years after he was appointed professor at the University from Cluj-Napoca, he founded in 1951 the Institute (initially called Sectia de Matematica), within the Romanian Academy.
    His vision was an Institute where the following fields meet together:
    – Numerical Analysis (theory),
    – Applied Mathematics (in Industry – by contracts),
    – Electronic Computing (by building computers);
  • in 1957 he was approved to change the Institute name into Institutul de Calcul, and to hire top electronic engineers, physicists, who started designing and building computers;
  • in 1959 a first, experimental computer with relays is built: MARICA;
  • in 1963, DACICC-1, is the third electronic computer built in Romania, but the first one with transistors, RAM and a library of mathematical functions; Romania was the 11th country in the world that used transistors in computers;
  • in 1963, he had a decisive contribution in the foundation of the Department of Computer Science of the Faculty of Mathematics (Babes-Bolyai University), and he taught some of the first courses;
  • in 1968, DACICC-200, is the first Romanian computer with OS and compiler, and also with several advanced features; it is the most powerful computer designed and built in Romania [citation to be added];
  • in 1973, together with other personalities (E. Muntean, V. Peteanu) Popoviciu had a decisive contribution in the foundation in Cluj-Napoca of one of the first Highschools in Romania on Computer Science (at the same time with the foundation of the other three, in Bucharest, Timisoara and Iasi);

He appears in the select History of Approximation Theory (Technion University, Israel).

Several Institutions and NGOs bear today his name: this Institute (Institutul de Calcul “Tiberiu Popoviciu”), Liceul de informatica Tiberiu Popoviciu, Asociatia pentru IT Tiberiu Popoviciu, Asociatia pentru Matematica T. Popoviciu, the journal Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity, the highschool symposiums, national Highschool contests on Computer Science, etc.


He was a brilliant graduate of École Normale Supérieure (Paris), obtaining the PhD title at Université Paris-Sorbonne.

He became corresponding member of the Romanian Academy in 1948, at 42 years age, and full member of the Romanian Academy 13 years later.

He has obtained some important, deep results, from various fields of Mathematics (Numerical Analysis, Approximation Theory, Mathematical Analysis, Algebra): he

  • introduced for the first time (in 1934), the B-spline functions on nonuniform grids (as acknowledged in a paper by C. de Boor and A. Pinkus) and deeply studied them, obtaining the (now called) Marsden recurrence identity from 1970, and the (now called) Boehm’s knot insertion formula, from 1980;
  • introduced for the first time (1941) the cardinal spline interpolation on arbitrary knots, as acknowledged by I.J. Schoenberg himself, in a paper from 1968: “In [1941] Popoviciu uses spline functions directly for the purpose for which they are so eminently suited: the approximation of functions. He introduces spline functions of degree n with arbitrary knots…”
  • used for the first time the modulus of continuity for obtaining estimations for the remainders in approximation formulas (1937);
  • prefigured the de Casteljau algorithm (1937);
  • obtained early contributions to the test functions criterion for the convergence of linear positive operators (1950) – some call it the Bohman-Korovkin-Popoviciu theorem;
  • generalized the Leibniz formula for the product of two functions to divided differences (1933);
  • introduced and studied the convex functions of higher order (1933);
  • obtained a mean value formula for the divided differences of a function;
  • obtained further results on interpolation, quadrature, etc.;
  • obtained inequalities that bear his name (on variances, on convex functions, and others);
  • obtained results in functional equations, algebra (regarding the number of partitions of n)
  • published the first monograph in Romania regarding Numerical Analysis and Approximation Theory (1937);
  • (to be completed)

He is the founder of the Institute of Numerical Analysis (1951) also named the Computing Institute, which now bears his name (in Romanian Institutul de Calcul “Tiberiu Popoviciu”)

He was a visionary mathematician, and foreseen the increasing importance of the numerical computing. He had a vision, which he fulfilled, regarding the Numerical Computing (Numerical Analysis), the Practical Computing (Applied and Industrial Mathematics) and the Electronic Computing. In Romanian, “Calcul” may be associated to all the three mentioned notions

  • Numerical Analysis (“calcul numeric”),
  • Practical/Industrial Mathematics (“calcul practic”) – over 100 contracts with economic agents were carried out using the computers built here;
  • Electronic Computing technique (“calcul electronic”), three electronic computers were built here. The third computer was designed to support hardware implemented instructions for floating point computations (real numbers represented in floating point arithmetic on 48 bits).

The mathematicians from the Institute and from the Babes-Bolyai University, together with their PhD students, and the PhD students of their PhD students,… formed a powerful team, called the Cluj-Napoca Team on Numerical Analysis and Approximation Theory (“Şcoala Clujeană de analiză numerică şi teoria aproximării”), known not only in Romania, but also abroad. It amounts to over 400 people.

The specialists formed at the hardware section of the Institute were transferred in 1968 and formed the Institute for Computers – Cluj (Institutul pentru Tehnică de Calcul – ITC Cluj) and the Territorial Center for Computing (Centrul Teritorial de Calcul Cluj).

The IT industry in Cluj-Napoca has started from Tiberiu Popoviciu. However, it is worth noting that, according to Gh. Farkas, one of the leading engineers of the Institute, Popoviciu has risked his future when engaging the whole Institute resources for constructing some computers they wouldn’t know if would work…

Biography
1906 – born on February 16, at Arad.
1923

starts the highschool problems solving. He will not abandon this “ludical” activity even when becomes Professor.

He occupies the position 80 in the top most active collaborators of Gazeta Matematică.

1923-1925

editor of Jurnal Matematic
(a school mathematical journal founded by him).
1924

graduates the “Moise Nicoară” High School in Arad and is admitted to the Faculty of Sciences at the University of Bucharest.
1924

winner of the national contest organized by Gazeta Matematică (The Mathematical Gazette).
1926

winner of the Capriel Prize, offered by Gazeta Matematică, for the paper Asupra unor polinoame remarcabile, 93 pp.
1927

obtains the degree in mathematics at the Faculty of SciencesUniversity of Bucharest.
1927-1930

student at L’École Normale Supérieure (Paris). At the same time, he is following some special courses at Université Paris IV (Sorbonne).
1928

takes the degree in sciences at Paris.
1933
1933-1934

librarian at Faculty of Sciences, University of Cluj
(the later “Babeş-Bolyai” University).
1934
1934-1936

assistant lecturer at Faculty of Sciences, University of Cluj.
1936-1940

lecturer at the Faculty of Sciences in Cernăuţi (at present in Ukraine).
1937

Publishes the first Romanian monograph on Numerial Analysis & Approximation Theory.
1937

Elected corresponding member, at 31 years old, of the Romanian Academy of Sciences (this is not the same to the Romanian Academy).
1940-1942

Assistant professor at the University of Bucharest.
1941
1942-1946

Professor of functions theory at the Faculty of Sciences of the University of Iaşi (the later “A.I. Cuza” University).
1946-1948

Professor of algebra and number theory at the Faculty of Mathematics and Physics, “Babeş-Bolyai” University.
1947
1948
1948

Appointed as

  • Secretary of the Romanian Academy, Cluj-Napoca Branch (till 1951)
  • Professor of Mathematical Analysis, and
  • Head of the Mathematical Analysis Department of the Faculty of Mathematics and Physics.
    (He will occupy this position to the end of his life).
1950-1953

Dean of the Faculty of Mathematics.
1951
1953

The first contract between the Mathematical Section of the Cluj Branch of the Romanian Academy and an economical agent from Romania is signed.
A total of over 100 contracts will amount until 1975.
1957
1957
1959
1959

Reactivates the journal Mathematica and becomes its Editor-in-Chief.
1960

Member of the Editorial Board of Studia UBB Math. journal (to his death).
1963
1963
1964

1968
1968

1968: member of the Editorial Board of Aequationes Mathematicae journal (to his death).
1975
More information needed:

  • 19??: member of Société Mathématique de France;
  • 19??: receives the Romanian distinction Emeritus Scientist (in Romanian Om de ştiinţă emerit), the highest distinction in Romania for a scientist.
  • 19??: receives the Romanian medal … for …
  • 19??: receives the Romanian distinction … for …
  • perhaps other information?
Publications

Version of October 17, 2016.
The retrieving and scanning of his papers is in progress. Some papers have already been posted.

1976

  • a. T. Popoviciu, Sur certaines formules de la moyenne du calcul différentiel, “Gheorghe Ţiţeica and Dimitrie Pompeiu” Symposium on Geometry and Global Analysis (Bucharest, 1973), pp. 247-251, Editura Acad. R.S.R., Bucharest, 1976 (in French) [MR0507394, Zbl 0382.41003].
  • b. T. Popoviciu, Lignes polygonales inscrites et circonscrites à un arc convexe, “Gheorghe Ţiţeica and Dimitrie Pompeiu” Symposium on Geometry and Global Analysis (Bucharest, 1973), pp. 203-226, Editura Acad. R.S.R., Bucharest, 1976 (in French) [MR0513835, Zbl 0383.26005].
1975
  • a. T. Popoviciu, Sur certaines formules de quadrature de degré d’exactitude maximum, Trudy Mat. Inst. Steklov, 134 (1975), pp. 254-259 (in French) Theory of functions and its applications (collection of articles dedicated to Academician Serghei Mihailovic Nikol’skii on the occasion of his seventieth birthday) [MR0387912, Zbl 0372.41017].published also asT. Popoviciu, Sur certaines formules de quadrature de degré d’exactitude maximum, Proc. Steklov Inst. Math., 134 (1975), 289-294 (1977) (in French) [Zbl 0391.41012].
  • b. T. Popoviciu, Über die Verwendung der Tabellen spezieller Funktionen, Numerische Methoden der Approximationstheorie, Band 2 (Tagung, Math. Forschungsinst., Oberwolfach, 1973), pp. 101-109. Internat. Schriftenreihe Numer. Math., Band 26, Birkhäuser, Basel, 1975 (in German) [MR0386220, Zbl 0323.65002].
  • c. T. Popoviciu, Despre alura unor şiruri care tind către numărul “e”, Stud. Cerc. Mat., 27 (1975) no. 1, pp. 87-110 (in Romanian; English translation of the title: On the behavior of certain sequences that tend to the number “e”) [MR0380184, Zbl 0306.40001]
  • d. T. Popoviciu, Analiză numerică (Romanian) [Numerical analysis] Noţiuni introductive de calcul aproximativ. [Introductory notions of approximate calculation] With a French summary and table of contents. Seria: Teoria Calculului, Analiză Numerică şi Informatica, No. 1. [Series: Computing Theory, Numerical Analysis and Information Theory, No. 1] Editura Academiei Republicii Socialiste România, Bucharest, 1975. 234 pp. [MR0391466, Zbl 0312.65003].
  • e. T. Popoviciu, Sur une généralisation des fonction “spline”, Mathematical structures – computational mathematics – mathematical modelling, Sofia, 1975, pp. 405-410.
1974
  • a. T. Popoviciu, À propos d’un lemme de Tadeusz Wazewski, Collection of articles dedicated to the memory of Tadeusz Wazewski, III. Ann. Polon. Math., 29 (1974), pp. 307-308 (in French) [MR0346099 (49 #10825), Zbl 0285.26009].
  • b. T. Popoviciu, Curs de analiză matematică. Partea a III-a. Continuitate, Universitatea Babeş-Bolyai Cluj, Facultatea de matematică-mecanică, 1974, 182 pp. (litografiat) (in Romanian).
1973
  • a. T. Popoviciu, Sur une formule de quadrature de S. Golab et C. Olech, Collection of articles dedicated to Stanislaw Golab on his 70th birthday, II. Demonstratio Math., 6 (1973), pp. 771-789 (1974) (in French) [MR0362853, Zbl 0298.65019].
  • b. T. Popoviciu, Application de la théorie des fonctions convexes d’ordre supérieur à l’étude de certains procédés d’intégration numérique des équations différentielles, Proceedings of Equadiff III (Third Czechoslovak Conf. Differential Equations and their Appl., Brno, 1972), pp. 241-245. Folia Fac. Sci. Natur. Univ. Purkyhnianae Brunensis, Ser. Monograph., Tomus 1, Purkyne Univ., Brno, 1973 (in French) [MR0359275, Zbl 0346.65030].
1972
  • a. T. Popoviciu, Über die Approximation der Funktionen und der Lösungen einer Gleichung durch quadratische Interpolation, Numerische Methoden der Approximationstheorie, Band 1 (Tagung, Math. Forschungsinst., Oberwolfach, 1971), pp. 155-163. Internat. Schriftenreihe Numer. Math., Band 16, Birkhäuser, Basel, 1972 (in German) [MR0431657, Zbl 0238.65022]
  • b. T. Popoviciu, Sur une inégalité entre des valeurs moyennes, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz., no. 381-409 (1972), pp. 1-8 (in French) [MR0322119]
  • c. T. Popoviciu, Sur la forme du reste de certaines formules de quadrature, Proceedings of the Conference on the Constructive Theory of Functions (Approximation Theory) (Budapest, 1969), pp. 365-370. Akadémiai Kiadó, Budapest, 1972 (in French) [MR0395178, Zbl 0239.65024]
  • d. T. Popoviciu, Généralisation d’une propriété des suites de Farey, Rev. Roumaine Math. Pures Appl., 17 (1972), pp. 87-92 (in French) [MR0382153, Zbl 0239.10030]
  • e. T. Popoviciu, Asupra unor formule de medie, Rev. Anal. Numer. Teoria Aproximaţiei, 1 (1972), pp. 97-107 (in Romanian; English translation of the title: On certain mean value formulas) [MR0379772].this is a slighty modified version of 1969c
  • f. T. Popoviciu, Curs de analiză matematică. Partea a II-a, Funcţii. Limite, 1972, Universitatea Babeş-Bolyai, Facultatea de Matematică-Mecanică, 312 pp. (litografiat) (in Romanian).
  • g. Proposed problems, Contributed by R. Askey, R. DeVore, G. Freud, J. Musielak, J. Peetre and T. Popoviciu, Proceedings of the Conference on the Constructive Theory of Functions (Approximation Theory) (Budapest, 1969), pp. 533–538, Akadémiai Kiadó, Budapest, 1972 [MR 52#6245].
1971
  • a. T. Popoviciu, Das Restglied in einigen Formeln der numerischen Integration von Differentialgleichungen, Methoden und Verfahren der mathematischen Physik, Band 5, pp. 117-129. B. I.-Hochschulskripten, No. 724 a-b, Bibliographisches Inst., Mannheim, 1971 (in German) [MR0373303, Zbl 0231.65065]
  • b. T. Popoviciu, Sur certaines fonctions arithmétiques multiplicatives, Mathematica (Cluj), 13(36) (1971) no. 2, pp. 271-279 (in French) [MR0351976, Zbl 0248.10005]
  • c. T. Popoviciu, Über die Konvergenz von Folgen linearer positiver Operatoren, An. Sti. Univ. “Al. I. Cuza” Iaşi Secţ. I a Mat. (N.S.) 17 (1971), pp. 123-132 (in German) [MR0310499, Zbl 0255.41015]
  • d. T. Popoviciu, Asupra calculului unei limite, Gazeta Matem. Ser. A, voL XXVI (1971) no. 1, pp. ?
1970
  • a. T. Popoviciu, Curs de analiză matematică. Partea I. Noţiuni introductive. Numere. Mulţimi, 1970, Universitatea Babeş-Bolyai, 294 pp. (litografiat) (in Romanian).
1969
  • a1. T. Popoviciu, Sur le reste de certaines formules de quadrature, Aequationes Math., 2 (1969) no. 1, pp. 128-129 (short communication) (in French).
  • a2. T. Popoviciu, Sur le reste de certaines formules de quadrature, Aequationes Math., 2 (1969) nos. 2-3, pp. 265-268 (in French) Dédié à M.A. Ostrowski à l’occasion de son 75-ème anniversaire [MR0251903, Zbl 0172.42601]
  • b. T. Popoviciu, Sur la conservation de l’allure de convexité des fonctions par des polynomes d’approximation, Abstract spaces and approximation (Proc. Conf., Oberwolfach, 1968), pp. 328-337, Birkhäuser, Basel, 1969 (in French) [MR0301425, Zbl 0191.07101]
  • c. T. Popoviciu, Remarques sur certaines formules de la moyenne, Arch. Math. (Brno), 5 (1969), pp. 147-155 (in French) Dédié à M.O. Borůvka à l’occasion de son 70-ème anniversaire [MR0299737, Zbl 0247.26010]]a slighty modified version was published as 1972e
  • d. T. Popoviciu, Sur le reste dans la formule de quadrature d’Everett, Acta Math. Acad. Sci. Hungar. 20 (1969), pp. 443-449 (in French) Dédié à M. Alexits à l’occasion de son 70-ème anniversaire [MR0250486, Zbl 0209.37003]
  • e. T. Popoviciu, Contribuţii ale Institutului de Calcul din Cluj la aplicarea matematicii în economie. Metode noi şi probleme de perspectivă ale cercetării ştiinţifice, ?jurnal??, Editura Academiei R.S.R., 1969, pp. 305-320 (in Romanian).
1968
  • a. T. Popoviciu, Sur les fractions continues de J. Mikusinski, Rev. Roumaine Math. Pures Appl., 13, 1968, pp. 79-83 (in French) [MR0226243, Zbl 0172.06701]
  • b. T. Popoviciu, Sur la délimitation de l’erreur dans l’approximation des racines d’une équation par interpolation linéaire ou quadratique, Rev. Roumaine Math. Pures Appl., 13 (1968), pp. 75-78 (in French) [MR0226849, Zbl 0162.08401]
  • c. T. Popoviciu, Remarques sur un théorème de Cauchy relatif aux séries à termes constants, non-négatifs et non-croissants, Rev. Roumaine Math. Pures Appl., 13 (1968), pp. 1017-1025 (in French) [MR0236551, Zbl 0172.07701]
  • d. T. Popoviciu, Sur la conservation de l’allure de convexité des fonctions par interpolation, An. Şti. Univ. “Al. I. Cuza” Iaşi Secţ. I a Mat. (N.S.) 14 (1968), pp. 7-14 (in French) [MR0234174, Zbl 0172.08102]
  • e. T. Popoviciu, Asupra conservării unor aluri ale şirurilor infinite reale prin anumite transformări, Gaz. Mat. Ser. A, 73 (1968) no. 11, pp. 401-405 (in Romanian; English translation of title: On the conservation of some allures of infinite real sequences with respect to certain transformations) [MR0237992]
1967
  • a. T. Popoviciu, Über die Einwertigkeit und die Mehrwertigkeit der Funktionen einer reellen Variablen, IKM, IV Internationaler Kongress über Anwendungen der Mathematik in dem ingenieurwissenschaften, Berichte 2, Weimar (DDR) 1967, pp. 155-158 (in German).
  • b. T. Popoviciu, Remarques sur le reste de certaines formules d’approximation d’une différence divisée par des dérivées, Bul. Inst. Politehn. Iaşi (N.S.), 13(17) (1967) fasc. 3-4, pp. 103-109 (in French) [MR0228859, Zbl 0189.35301]
  • c. T. Popoviciu, On some functions which verify differential inequalities, Differential equations and their applications, Bratislava: Slovenské pedagogiciké nakladatelstvo 1967, pp. 307-314.
  • d. T. Popoviciu, Analiză numerică, vol. 1, Noţiuni introductive de calcul aproximativ, Academia R.S.R., Filiala Cluj, Institutul de Calcul, 248 pp. (litografiat) (in Romanian).
  • e. T. Popoviciu, Sur la conservation de l’allure d’une fonction par interpolation, Colloque sur la théorie des fonctions, Cluj, 15-20 septembre, 1967.
1966
  • a. T. Popoviciu, L’Institut de Calcul de Cluj et les rechereches d’analyse numérique, Rev. Roum. Math. pures appliq., XI (1966) no. 9, pp. 1139-1146 (in French).
  • b. T. Popoviciu, Calcul practic. Ciclu de conferinţe ţinute la AGIR în anul 1949 de T. Popoviciu, Academia R.P.R., Filiala Cluj, Institutul de Calcul, Cluj, 1966, no. 16, 61 pp. (litografiat) (in Romanian).
1965
  • a. T. Popoviciu, Sur les fonctions constantes par segments, Mathematica (Cluj), 7(30) (1965), pp. 333-340 (in French) [MR0202618, Zbl 0146.07803]
  • b. T. Popoviciu, Sur certaines inégalités qui caractérisent les fonctions convexes, An. Şti. Univ. “Al. I. Cuza” Iaşi, Secţ. I a Mat. (N.S.), 11B, (1965), pp. 155-164 (in French) [MR0206178, Zbl 0166.06303]
  • c. T. Popoviciu, Delimitarea erorilor de calcul în interpolarea prin polinoame şi aplicaţii la derivarea şi integrarea numerică, Editura Academiei, 1965.
1964
  • a. T. Popoviciu, Sur une inégalité de N. Levinson, Mathematica (Cluj), 6(29) (1964), pp. 301-306 (in French) [Zbl 0138.27303].
  • b. T. Popoviciu, La simplicité du reste dans certaines formules de quadrature, Mathematica (Cluj), 6(29) (1964), pp. 157-184 (in French) [MR0187396, Zbl 0141.13802]
1963
  • a. T. Popoviciu, Matematica şi cibernetica (in French), vol. “L’homme et la société contemporaine“, Editura Academiei R.P.R., 1963 (in Romanian).
1962
  • a. T. Popoviciu, Sur la conservation par le polynome d’interpolation de L. Féjer, du signe ou de la monotonie de la fonction, An. Şti. Univ. “Al. I. Cuza” Iaşi Secţ. I (N.S.) 8 (1962), pp. 65-84 (in French) [MR0154020, Zbl 0111.06004]
  • b. T. Popoviciu, Aspecte ale legăturii dintre teorie şi practică în matematică, Cercetări filozofice, Acad. RPR, 6 (1962), pp. 1535-1537 (in Romanian).
1961
  • a. T. Popoviciu, Sur la conservation de l’allure de convexité d’une fonction par ses polynomes d’interpolation, Mathematica (Cluj), 3(26) (1961) no. 2, pp. 311-329 (in French) [MR0154019, Zbl 0192.16001].
  • b. T. Popoviciu, Asupra unei teoreme a lui W.A. Markov, Acad. R. P. Romîne, Fil. Cluj, Stud. Cerc. Mat., 12 (1961), pp. 333-355 (in Romanian; English translation of the title: On a theorem of W.A. Markov) [MR0177078]same with 1960d !!
  • c. T. Popoviciu, Razdelemâe raznosti i proizvodnâe, St. Cerc. Mat., Cluj, XI (1960), pp. 85-87 (in Russian)same with 1960f (in Romanian) and 1959c (in French)!!
  • (“Biul naucn. informaţii”, Acad. RPR nr. 2, 1961) (in Russian).
1960
  • a1. T. Popoviciu, Asupra delimitării restului în unele formule de aproximare liniară ale analizei, Acad. R. P. Romîne Fil. Cluj, Stud. Cerc. Mat. (Cluj), 11 (1960) no. 2, pp. 357-362 (in Romanian) [MR0148817, Zbl 0163.30501]translated in French in 1960a2!!
  • a2. T. Popoviciu, Sur la délimitation du reste dans certaines formules d’approximation linéaires de l’analyse, Mathematica (Cluj), 2(25) (1960) no. 1, pp. 159-162 (in French) [MR0129114, Zbl 0098.04101]
  • a3. T. Popoviciu, Sur la délimitation du reste dans les formules d’approximation linéaires de l’analyse, 1960 Symposium on the numerical treatment of ordinary differential equations, integral and integro-differential equations «Centre international provisoire de Calcul» (Rome, 1960) pp. 441-446 Birkhäuser, Basel (in French) [MR0128598]
  • b. T. Popoviciu, Remarques sur la conservation du signe et de la monotonie par certains polynomes d’interpolation d’une fonction d’une variable, Ann. Univ. Sci. Budapest. Eötvös Sect. Math., t. 3-4 (1960/1961), pp. 241-246 (in French) [MR0133631, Zbl 0171.30903]
  • c1. T. Popoviciu, Remarques sur la première et sur la seconde formule de la moyenne du calcul intégral, Mathematica (Cluj), 2(25) (1960) no. 1, pp. 163-169 (in French) [MR0120331, Zbl 0109.28103]same with 1960k !!!
  • c2. T. Popoviciu, Observaţii asupra primei şi celei de a doua formule de medie a calculului integral, Acad. R. P. Romîne Fil. Cluj, Stud. Cerc. Mat., 11 (1960), pp. 363-370 (in Romanian; French title: Remarques sur la première et sur la seconde formule de la moyenne du calcul intégral) [MR0148818, Zbl 0133.30405]same with 1960c !!!
  • d. T. Popoviciu, Sur un théorème de W.A. Markov, Mathematica (Cluj), 2(25) (1960) no. 2, pp. 299-321 (in French) [MR0130942, Zbl 0178.04203]same with 1961b!!
  • e. T. Popoviciu, Remarques sur une formule de la moyenne des différences divisées généralisées, Mathematica (Cluj), 2(25) (1960), pp. 323-324 (in French) [MR0131705, Zbl 0100.06102]
  • f. T. Popoviciu, Diferenţe divizate şi derivate, Acad. R. P. Romîne Fil. Cluj, Stud. Cerc. Mat., 11 (1960) no. 1, pp. 119-145 (in Romanian) [MR0134848]same with 1959c (in French) and 1961c (in Russian)!!
  • g. T. Popoviciu, Asupra preciziei calculului numeric în interpolarea prin polinoame de două variabile, Acad. R. P. Romîne, Fil. Cluj, Stud. Cerc. Mat., 11 (1960) fasc. anexă, pp. 159-165 (in Romanian; French title in abstract: Sur la précision du calcul numérique dans l’interpolation par polynômes à deux variables) [MR0146949]
  • h. T. Popoviciu, Asupra unor inegalităţi între medii, Acad. R. P. Romîne Fil. Cluj, Stud. Cerc. Mat., 11 (1960) 2, pp. 343-355 (in Romanian; French title: Sur quelques inégalités entre moyennes) [MR0148816, Zbl 0133.30502]same with 1959a !!!!
  • i. T. Popoviciu, O dejatel’nosti Clujskogo instituta ţifrovogo iscislenija, Biuleten naucinoi informaţii seria matem., fiziki, himin, tehniceskih nauk, no. 2 (1960), pp. 263-266 (in Russian).same with 1960l ????
  • j. T. Popoviciu, Opera ştiinţifică a lui J. Bolyai, Studia UBB, ser. 1, Mathematica-Physica (1960) fasc. 1, pp. 9-14 (in Romanian).
  • k. T. Popoviciu, Contribuţii ale Institutului de Calcul în unele cercetări de analiză numerică impuse de rezolvarea unor probleme ivite în producţie, Sesiunea ştiinţifică jubiliară a Instit. de mecanică aplicată “T. Vuia” al Academiei RPR, Bucureşti, 4-7 iulie 1960, pp. 57-65 (in Romanian).
  • l. T. Popoviciu, Orientarea şi rezultatele cercetărilor în Institutul de Calcul, Analele Academiei R.P.R., 10 (1960), pp. 117-122 (in Romanian).
1959
  • a. T. Popoviciu, Some inequalities between means, Mathematica (Cluj), 1(24) (1959), pp. 81-93 (in Russian) [MR0122942]same with 1960h !!!!
  • b1. T. Popoviciu, Sur le reste dans certaines formules linéaires d’approximation de l’analyse, Mathematica (Cluj), 1(24) (1959), pp. 95-142 (in French) [MR0129531, Zbl 0091.24603]also published as:
  • b2. T. Popoviciu, Asupra restului în unele formule liniare de aproximare ale analizei, Studii Cerc. Mat., 10 (1959) no. 2, Cluj, pp. 337-389 (in Romanian) [Zbl 0163.30102].
  • c. T. Popoviciu, Différences divisées et dérivés, Mathematica (Cluj), 1(24) (1959) no. 2, pp. 297-319 (in French) [MR0126657, Zbl 0098.04004]-same with 1960g (in Romanian) and 1961c (in Russian)!
  • d. T. Popoviciu, Sur quelques inégalités, Gaz. Mat. Fiz. Ser. A 11 (64) (1959) no. 8, pp. 451-461 (in Romanian) [MR0125925, Zbl 0101.04101]
  • e. T. Popoviciu, 15 ani de la eliberarea patriei noastre, St. Cerc. Mat., 10 (1959) no. 1, Cluj, pp. 7-15.
  • f. T. Popoviciu, Prefaţă la “Mathematica”, 1(24) (1959) fasc. 1, pp. 5-10 (in Romanian, Russian and English).
1957
  • a1. T. Popoviciu, Certains aspects du problème de la précision dans les calcules numériques, Bull. Math. Soc. Sci. Math. Phys. R. P. Roumaine (N.S.), 1(49) (1957), pp. 473-478 (in French) [MR0134450]also published as:
  • a2. T. Popoviciu, Unele aspecte ale problemei preciziei în calculele numerice, Bul. mat. al Soc. Şt. Mat. Fiz. din R.P.R., 1(49) (1957) no. 4, pp. 473-478 (in Romanian).
1955
  • a. T. Popoviciu, Asupra unor ecuaţii funcţionale, Studii şi cerc. ştiinţifice, Cluj, Seria I – Şt. Matematice, Fizice, Chimice şi Tehnice, 6 (1955) nos. 3-4, pp. 37-49 [MR0095356]
  • b. T. Popoviciu, Despre precizia calculului numeric în interpolarea prin polinomul lui Newton cu noduri echidistante, Studii şi cerc. ştiinţifice, Cluj, Seria I – Şt. Matematice, Fizice, Chimice şi Tehnice, 6 (1955) nos. 3-4, pp. 27-35 (with abstract in Russian and French) [MR0095573, Zbl 0068.32402]
  • c. T. Popoviciu, Despre precizia calculului numeric în interpolarea prin polinoame, Bul. ştiinţific, Secţ. de Şt. Matem. şi Fizice, 7 (1955) no. 4, pp. 953-961 [MR0077689]
  • d. T. Popoviciu, Asupra unei generalizări a formulei de integrare numerică a lui Gauss, Studii şi cerc. şt. Iaşi, 6 (1955) nos. 1-2, pp. 29-57 (in Romanian) [MR0085604, Zbl 0068.05003]
  • e. T. Popoviciu, P.137-P.139, Colloquium Mathematicum, vol. III, (1955) no. 2, pp. 171-172.
  • f. T. Popoviciu, Contribuţii ale Institutului de Calcul în unele cercetări de analiză numerică, Sesiunea ştiinţifică jubiliară a Institutului de mecanică aplicată Traian Vuia al Academiei RPR.

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1954
  • a. T. Popoviciu, Les polynômes de S.N. Bernstein et le problème de l’interpolation, Congresul internaţional al matematicienilor, Amsterdam, 1954, pp. 1-2 (City, Publ. House ??).
  • b. T. Popoviciu, Folytonos függvények középértéktételeiröl, Magyar Tud. Akad. Mat. Fiz. Oszt. Közleményei, 4 (1954), pp. 353-356 (in Hungarian; title translated in Romanian: Despre teoremele de medii ale funcţiilor continue; title translated in English: About mean value theorems of continuous functions) [MR0065600, Zbl 0059.04502]republished in English in 2004:T. Popoviciu, On the mean-value theorem for continuous functions (translated by Z. Finta), East J. Approximations, 10 (2004) no. 3, pp. 379-382 [MR2076896]
1953
  • a. T. Popoviciu, Asupra aplicării algoritmului lui Euclid pentru aflarea c.m.m.d.c. a două numere, Studii şi cerc. ştiinţifice, Cluj, 4 (1953) nos. 1-2, pp. 59-63 (in Romanian).
  • b. T. Popoviciu, Asupra unei probleme de partiţie a numerelor, Studii şi cerc. ştiinţifice, Cluj, 4 (1953) nos. 1-2, pp. 7-58 (in Romanian).
1952
  • a. T. Popoviciu, Asupra restului în unele formule de derivare numerică, Studii şi cerc. matematice, 3 (1952) nos. 1-2, pp. 53-122 (in Romanian) [MR0065603]
  • b. T. Popoviciu, Asupra polinoamelor cu toate rădăcinile reale, Studii şi cerc. ştiinţifice, Cluj, 3 (1952) nos. 1-2, pp. 7-10 (in Romanian).
1951
  • a. T. Popoviciu, Consideraţii teoretice asupra utilizării practice a unor formule de interpolare, Bul. şt. Acad. R.P.R., 3 (1951) no. 4, pp. 441-449 (in Romanian) [MR0060550]
1950
  • a. T. Popoviciu, Asupra demonstraţiei teoremei lui Weierstrass cu ajutorul polinoamelor de interpolare, Lucrările ses. generale a Acad. R.P.R., pp. 1664-1667 (in Romanian; title translated in English: On the proof of Weierstrass’ theorem with the aid of interpolation polynomials).republished in English, in 1998:T. Popoviciu, On the proof of Weierstrass’ theorem using interpolation polynomials (translated by D. Kacsó), East J. Approximations, 4 (1998) no. 1, pp. 107-110 [MR1613802 (99c:41012) , Zbl 0914.41001]
  • b. T. Popoviciu, Asupra formei restului în unele formule de aproximare ale analizei, Lucrările ses. generale ştiinţifice a Acad. R.P.R., 2-12 iunie 1950, pp. 183-186 (in Romanian).
  • c. T. Popoviciu, Asupra funcţiilor de o variabilă reală a căror mulţime de definiţie este reunirea a două submulţimi de monotonie opusă, Analele Acad. R.P.R., t. III (1950) Mem. 1, pp. 1-16 (in Romanian) [MR0043871]
1948
  • a. T. Popoviciu, Sur certaines inegalités entre les zeros, supposés tous réels, d’un polynôme et ceux de sa deriveé, Ann. Sci. Univ. Iassy, 30 (1944-1947 publ. 1948), pp. 191-218 (in French) [MR0027899, Zbl 0031.00303]
  • b. T. Popoviciu, Sur une inegalité, Mathematica, 23 (1947-1948), pp. 127-128 (in French) [MR0027024]
  • c. T. Popoviciu, Sur la formule des accroissements finis, Mathematica, 23 (1947-1948), pp. 123-126 (in French) [MR0027037, Zbl 0031.11704]
  • d. T. Popoviciu, Curs de algebră superioară: numere reale şi complexe, noţiuni de teoria numerelor, vol. I-II, 1948, XX pp.
1947
  • a. T. Popoviciu, Elemente de analiză matematică, 1947 [curs universitar], XX pp.
1946
  • a. T. Popoviciu, Asupra indicatorilor, Gazeta matematică, 51 (1946), pp. 306-313 (in Romanian) [MR0015403]
  • b. T. Popoviciu, Asupra unei inegalităţi, Gazeta matematică, 51 (1946), pp. 81-85 (in Romanian) [MR0015436, ZBL?? Aceeasi p. cu les fonctions convexes]
1945
  • a. T. Popoviciu, Asupra unui articol, Gazeta matematică, 50, pp. 425-426 (in Romanian).
  • b. T. Popoviciu, Asupra distribuţiei numerelor prime, Gazeta matematică, 50, pp. 241-245 (in Romanian).
1944
  • a. T. Popoviciu, Les fonctions convexes, Actualités scientifiques et industrielles, fasc. 992, 75 pp., Hermann & Cie (Eds.), Paris, 1944 (in French) [MR0018705, Zbl 0060.14911]
  • b. T. Popoviciu, Asupra notei 14 din Gazeta matematică, XLIX, p. 239, Gazeta matematică, 49, pp. 343-344 (in Romanian).
1942
  • a. T. Popoviciu, Sur les l’approximations des fonctions continues d’une variable réelle par des polynomes, Ann. Sci. Univ. Iassy, 28 (1942) p. 208 (in French) [MR0018270].
  • b. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (X), Ann. Sci. Univ. Iassy, 28 (1942), pp. 161-207 (in French) [MR0019679, Zbl 0060.14910].
  • c. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (IX), Bull. Math. de la Soc. Roum. des Sci., 43 (1942), pp. 85-141 (in French) [MR0013170, Zbl 0060.14909].
  • d. T. Popoviciu, Notes sur les généralisations des fonctions convexes d’ordre supérieur (IV), Disquisitiones mathematicae et physicae, 2 (1942), pp. 127-148 (in French) [MR0021039, JFM 68.0126.03]
  • e. T. Popoviciu, Asupra problemei 2469, Gazeta matematică, 48, pp. 109-112 (in Romanian).
  • f. T. Popoviciu, Asupra problemei 1885, Gazeta matematică, 47, pp. 411-413 (in Romanian).
  • g. T. Popoviciu, Notes sur les généralisations des fonctions convexes d’ordre supérieur (III), Bull. de la Sect. sci. de l’Acad. Roum., 24 (1942) no. 6, pp. 409-416 (in French) [MR0025528, JFM 68.0126.02]
  • h. T. Popoviciu, Memoriu de titluri şi lucrări T. Popoviciu, [cu CV], Ediţia a III-a, Cluj, 1942 (69 pp.) (in Romanian).
1941
  • a. T. Popoviciu, Asupra poligoanelor regulate, Pozitiva, 2 (1941), pp. 92-97 (in Romanian) [MR0017921].
  • b. T. Popoviciu, Quelques remarques sur une théorème de M. D. Pompeiu, Bull. Math. de la Soc. Roum. des Sci., 43 (1941), pp. 27-44 (in French) [MR0012412, Zbl 0060.34208].
  • c. T. Popoviciu, Asupra problemei 2552, Gazeta matematică, 46, pp. 637-638 (in Romanian).
  • d. T. Popoviciu, Asupra problemei 2337, Gazeta matematică, 46, pp. 356-358 (in Romanian).
  • e. T. Popoviciu, Soluţia şi generalizarea problemei 1876, Gazeta matematică, 46, pp. 345-350; 512-519 (in Romanian). [JFM 67.0059.02].
  • f. T. Popoviciu, Asupra problemei 4385, Gazeta matematică, 46, pp. 237-241 (in Romanian).
  • g. T. Popoviciu, Curs de calcul diferenţial şi integral, partea I., Bucureşti, 1940-1941, XX pp. (litografiat) (in Romanian).
1940
  • a. T. Popoviciu, Introduction à la théorie des différences divisées, Bull. Math. de la Soc. Roum. des Sci., t. 42 (1940), pp. 65-78 (in French) [MR0013171, Zbl 0025.39803,JFM 66.0389.01].
  • b. T. Popoviciu, Despre şirurile monotone, Pozitiva, 1 (1940), pp. 41-45 (in Romanian) [MR0019133].
  • c. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (IV), Disquisitiones mathematicae et physicae, 1 (1940) no. 2, pp. 162-171 (in French) [MR0021040, JFM 66.0242.01].
  • d. T. Popoviciu, Notes sur les généralisations des fonctions convexes d’ordre supérieur (II), Bull. de la Sect. Sci. de l’Acad. Roum., 22 (1940) no. 10, pp. 473-477 (in French) [MR0003435, JFM 66.0241.02].
  • e. T. Popoviciu, Notes sur les généralisations des fonctions convexes d’ordre supérieur (I), Disquisitiones mathematicae et physicae, 1 (1940), pp. 35-42 (in French) [MR0021038JFM 66.0241.01].
  • f. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (V), Bull. de la Sect. Sci. de l’Acad. Roum., 22 (1940), pp. 351-356 (in French) [MR0002561, JFM 66.0242.02].
  • g. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (III), Mathematica, 16 (1940), pp. 74-86 (in French) [MR0002560, JFM 66.0241.03].
  • h. T. Popoviciu, Asupra problemei 3209, Gazeta matematică, 46, pp. 122-130; 179-185 (in Romanian).
  • i. T. Popoviciu, Observaţie asupra problemei 3365, Gazeta matematică, 46, pp. 1140-1141 (in Romanian).
  • j. T. Popoviciu, Asupra formelor hermitiene, Gazeta matematică, 46, pp. 29-31 (in Romanian). [JFM 66.0048.04].
  • k. T. Popoviciu, Încă ceva despre problema 3911, Gazeta matematică, 45, pp. 578-579 (in Romanian).
  • l. T. Popoviciu, Asupra problemei 3354, Gazeta matematică, 45, pp. 472-475 (in Romanian).
  • m. T. Popoviciu, Asupra problemei 4258, Gazeta matematică, 45, p. 302 (in Romanian).
  • n. T. Popoviciu, Asupra problemei 4567, Gazeta matematică, 45, pp. 232-238 (in Romanian). [JFM 66.0246.01].
  • o. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (VI), Revue Mathématique de l’Union Interbalkanique, 2 (1939-1940), pp. 31-40 (in French) [MR0001253, JFM 65.0213.04Zbl 0021.39403].
1939
  • a. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (VIII), Bull. de la Sect. Sci, de l’Acad. Roum, 22 (1939) no. 1, pp. 34-41 (in French). [JFM 65.0214.02].
  • b. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (VII), Bull. de la Sect. Sci. de l’Acad. Roum., 22 (1939) no. 1, pp. 29-33 (in French) [MR0001254, Zbl 0024.02201, JFM 65.0214.01].
  • c. T. Popoviciu, Sur quelques inegalités entre les fonctions convexes (III), Comptes Rendus de l’Instit. des Sci. de Roumanie, 3 (1939) no. 4, pp. 396-402 (in French) [Zbl 0021.30305, JFM 65.0215.01].
  • d. T. Popoviciu, Asupra unei probleme din teoria ecuaţiilor algebrice, Gazeta matematică, 44, pp. 362-364 (in Romanian).
1938
  • a. T. Popoviciu, Sur le prolongement des fonctions monotones et des fonctions convexes definies sur un nombre fini de points, Bull. de le Sect. sci de l’Acad. Roum., 20 (1938) no. 7, pp. 196-199 (in French) [Zbl 0021.11702, JFM 64.1025.02].
  • b. T. Popoviciu, Sur l’approximation des fonctions convexes d’ordre supérieur (II), Bull. de la Sect. sci. de l’Acad. Roum., 20 (1938) no. 7, pp. 50-53; 192-195 (in French) [Zbl 0021.11701,JFM 64.1025.01].
  • c. T. Popoviciu, Deux remarques sur les fonctions convexes, Bull. de la Sect. sci. de l’Acad. Roum., 20 (1938) no. ?, pp. 45-49 (in French) [Zbl 0021.11605, JFM 64.1024.03].de scanat şi pag cu cuprinsul
  • d. T. Popoviciu, Sur quelques inegalités entre les fonctions convexes (II), Comptes Rendus de l’Instit. de Sci. de Roum., 2 (1938), pp. 454-458 (in French) [Zbl 0019.29805,JFM 64.0202.02].nu are cuprins
  • e. T. Popoviciu, Sur quelques inegalités entre les fonction convexes (I), Comptes Rendus des séances de l’Académie des Sciences de Roumanie, 2 (1938), pp. 449-454 (in French) [Zbl 0019.29805,JFM 64.0202.02].nu e bun cuprinsul
  • f. T. Popoviciu, Sur les diffèrences des fonctions d’une variable réelle, Comptes Rendus des séances de l’Académie des Sciences de Roumanie, 2 (1938) no. 2, pp. 112-114 (in Romanian) [Zbl 0018.25001, JFM 64.0205.03].
  • g. T. Popoviciu, Sur les solutions bornées et les solutions mesurables de certaines équations fonctionnelles, Mathematica, 14 (1938), pp. 47-106 (in French) [Zbl 0021.13701, JFM 64.0417.03].
  • h. T. Popoviciu, Asupra notei 16 din Gazeta matematică, vol.40, pag. 117, Gazeta matematică, 44, p. 301 (in Romanian).
  • i. T. Popoviciu, Asupra unei metode de cuadratură aproximativă, Gazeta matematică, 43, pp. 246-248 (in Romanian) [JFM 63.0532.02].
  • j. T. Popoviciu, Curs de matematici generale – ţinut în anul şcolar 1937-38 de conf. dr. Tib. Popoviciu, împreună cu 202 probleme propuse la seminar şi 98 figuri în text, 1938; acest curs a fost scris [dactilografiat] şi figurile executate de Scurei P. Emilian, student chimist.
1937
  • a. T. Popoviciu, Despre cea mai bună aproximaţie a funcţiilor continue prin polinoame, Monografii matematice, fasc. III, Cluj, Institutul de Arte Grafice “Ardealul”, (66 pp.) (in Romanian) [JFM 63.0959.03].
  • b. T. Popoviciu, Memoriu de titluri şi lucrări T. Popoviciu, [cu CV], Ediţia a II-a, Tipografia “Ardealul”, Cluj, 1937, 22 pp. (in Romanian).
  • c1. T. Popoviciu, Observaţii asupra maximului unui determinant al cărui elemente sunt toate nenegative, Bul. Soc. de Şt. din Cluj, 8 (1937), pp. 572-582 (in Romanian ??). translation in French republished inc2. T. Popoviciu, Remarques sur le maximum d’un determinant dont tout les éléments sont non-negatifs, Mathematica 13 (1937), pp. 212-222 (in French) [Zbl 0018.09702, JFM 63.0852.01, JFM 63.0035.02].it keeps the header of Bul. Soc. St. Cluj.
  • d. T. Popoviciu, Despre rădăcinile comune la mai multe ecuaţii multinome, Gazeta matematică, 42, pp. 569-576 (in Romanian) [JFM 63.0047.03].
  • e. T. Popoviciu, Asupra problemei 1058, Gazeta matematică, 42, p. 248 (in Romanian).
  • f. Th. Angheluţă, Gh. Călugăreanu, P. Montel, T. Popoviciu, Exerciţii şi probleme de analiză, teoria funcţiilor şi mecanică raţională, 1937, x pp., Editura Universităţii din Cluj (in Romanian).
1936
  • a. T. Popoviciu, Sur les directions d’indetermination complète d’une fonction elliptique, Bulletin des Sciences Mathématiques, 2e série, année 193, t. LX (1936), pp. 196-198 (in French) [Zbl 0014.40803, JFM 62.0429.03].
  • b. T. Popoviciu, Sur certaines problèmes de maximum de Stieltjes, Bull. Math. de la Soc. Roum. des Sci., 38 (1936) no. 1, pp. 73-96 (in French) [JFM 62.0268.04].de scos prima pagina, e de ajuns a doua ! a doua se face fara OCR
  • c. T. Popoviciu, Sur un problème de maximum de Stieltjes, Comptes Rendus de l’Acad. des Sci. de Paris, 202 (1936), pp. 1645-1647 (in French) [Zbl 0014.20902, JFM 62.0269.01].de rotit 90grade
  • d. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (II), Mathematica, 12 (1936), pp. 227-233 (in French) [Zbl 0015.25002, JFM 62.0240.01].
  • e. T. Popoviciu, Notes sur les fonctions convexes d’ordre supérieur (I), Mathematica, 12 (1936), pp. 81-92 (in French) [JFM 62.0239.04].
  • f. T. Popoviciu, Remarques sur la definition fonctionnelle d’un polynôme d’une variable réelle, Mathematica, 12 (1936), pp. 5-12 (in French) [Zbl 0015.34403, JFM 62.0429.02].
  • g. T. Popoviciu, Despre o inegalitate a lui Wolstenholme, Gazeta matematică, 41, pp. 135-138 (in Romanian).
  • h. T. Popoviciu, Asupra curbelor plane, Gazeta matematică, 41, pp. 613-619 (in Romanian) [JFM 62.0811.04].
  • i. T. Popoviciu, Asupra problemei 457 din Gazeta matematică, vol. 7, pag. 84, Gazeta matematică, 41, pp. 285-288 (in Romanian).
1935
  • a. T. Popoviciu, Sur les équations algebriques ayant toutes leurs racines réelles, Mathematica, 9 (1935), pp. 129-145 (in French) [Zbl 0014.10003, JFM 61.0998.05].
  • b. T. Popoviciu, Sur une condition suffisante pour qu’un polynôme soit positif, Mathematica, 11 (1935), pp. 247-256 (in French) [Zbl 0013.10002, JFM 61.1000.01].
  • c. T. Popoviciu, Quelques propriétés des équations algebriques dont les équations derivées ont toutes leurs racines réelles, Mathematica, 11 (1935), pp. 205-221 (in French) [Zbl 0013.10001, JFM 61.0999.01].
  • d. T. Popoviciu, Sur certaines équations fonctionnelles definissant des polynômes, Mathematica, 10 (1935), pp. 194-208 (in French) [Zbl 0010.29504, JFM 61.0433.01].
  • e. T. Popoviciu, Sur l’approximation des fonctions convexes d’ordre supérieur (I), Mathematica, 10 (1935), pp. 49-54 (in French) [JFM 61.0295.01].
  • f. T. Popoviciu, Remarques sur les équations algebriques dont les équations derivées ont toutes leurs racines réelles, Comptes Rendus de l’Acad. des Sci. de Paris, 200 (1935), pp. 184-186 (in French) [Zbl 0010.38801, JFM 61.0076.01].
  • g. T. Popoviciu, Despre determinarea unor funcţii de mai multe variabile, Ştiinţă şi progres, 1 (1935) no. 8, pp. 217-221 (in Romanian).
  • h. T. Popoviciu, Observaţii asupra ecuaţiilor algebrice având toate rădăcinile reale, Gazeta matematică, 41, pp. 67-68 (in Romanian) JFM 61.0075.09 .
  • i. T. Popoviciu, Despre funcţiile alternate de mai multe variabile independente, Revista matematică din Timişoara, 15 (1935), pp. 73-76 (in Romanian) [JFM 62.1081.03].
  • j. T. Popoviciu, Despre extragerea rădăcinii dintr-un polinom de o variabilă independentă, Revista matematică din Timişoara, 15 (1935), pp. 49-51 (in Romanian) [JFM 62.1086.04].
  • k. T. Popoviciu, Sur un théorème de Laguerre, Mathematica, 10 (1935), pp. 128-131 (in French) [Zbl 0010.24503, JFM 61.0376.04]it is the translation in French of 1934c. ???
1934
1933
  • a. T. Popoviciu, Sur quelques propriétés des fonctions d’une ou de deux variables réelles, Thése, Paris, 1933 (in French) [JFM 59.0988.06]. Republished in Mathematica (see 1934g above)
  • b. T. Popoviciu, Asupra notei 40 din Gazeta matematică, vol. 37, p. 446, Gazeta matematică, 38, pp. 174-175 (in Romanian).
1932
  • a1. T. Popoviciu, Asupra polinoamelor cari formează un şir Appell, Bull. Mathematique de la Soc. Roumaine des Sciences, 33/34 (1932), pp. 11-21 (in Romanian) [JFM 58.1100.02]; (nota întâi – first note).
  • a2. T. Popoviciu, Asupra polinoamelor cari formează un şir Appell, Bull. Mathematique de la Soc. Roumaine des Sciences, 33/34 (1932), pp. 22-27 (in Romanian) [JFM 58.1100.02]; (nota a doua – second note).
  • b. T. Popoviciu, Asupra problemei 2308 şi asupra notei 3 din Gazeta matematică, vol. 21, p.17, Gazeta matematică, 38, pp. 131-133 (in Romanian).
  • c. T. Popoviciu, Asupra notei 10 din Gazeta matematică, vol. 37, p. 92., Gazeta matematică, 38, p. 88 (in Romanian).
  • d1. T. Popoviciu, Observaţii asupra polinoamelor binomiale, Buletinul Soc. de Ştiinţe din Cluj, 6, pp.146-148 (in Romanian).republished translated in French:
  • d2. T. Popoviciu, Remarques sur les polynômes binomiaux, Mathematica, 6 (1932), pp. 8-10 (in French) [JFM 58.0376.06].
1931
  • a1. T. Popoviciu, Sur les suites de polynômes, Buletinul Soc. de Ştiinţe din Cluj, 5 (1931), pp. 492-504 (in French) [JFM 57.1349.03].republished:
  • a2. T. Popoviciu, Sur les suites de polynômes, Mathematica, 5 (1931), pp. 36-48 (in French) [Zbl 0002.25305, JFM 57.0127.01].
  • b. T. Popoviciu, Asupra unui determinant, Gazeta matematică, 35, pp. 405-408 (in Romanian) [JFM 56.0102.02].
  • c. T. Popoviciu, Asupra indicilor, Gazeta matematică, 36, p. 259 (in Romanian).
1930
  • a. T. Popoviciu, Sur les fonctions convexes d’une variable réelle, Comptes Rendus de l’Academie des Sciences de Paris, 190 (1930), pp. 1481-1483 (in French) [JFM 56.0241.03].
  • b1. T. Popoviciu, Observaţii despre polinoamele de cea mai bună aproximaţie, Buletinul Soc. de Ştiinţe din Cluj, 5 (1930), pp.279-286 (in Romanian) [JFM 57.1428.01]. republished translated in French:
  • b2. T. Popoviciu, Remarques sur les polynômes de meilleure approximation, Mathematica, 4 (1930), pp. 73-80 (in French) [JFM 56.0933.01].
  • c. T. Popoviciu, Sur les indicateurs, Bull. Sc. de l’Ecole Polytechnique de Timişoara, 3 (1930) nos. 1-2, pp. 72-80 (in French) [JFM 56.0873.01].
  • d. T. Popoviciu, Asupra numărului indicatorilor unui număr dat, Gazeta matematică, 36, pp. 86-90 (in Romanian) [JFM 56.0157.01].
  • e. T. Popoviciu, Asupra unei probleme de aritmetică, Revista de matematică din Timişoara, 9 (1930) no. 11, pp. 128-129 (in Romanian).
  • f. T. Popoviciu, Asupra unei note matematice, Revista de matematică din Timişoara, 9 (1930) no. 11, p. 128 (in Romanian).
1929
  • a. T. Popoviciu, Sur certaines polynômes minimisants, Bull. de la Sect. Sci. de L’Acad. Roumaine, 12 (1929) no. 6, pp. 133-136 (in French) [JFM 55.0075.01].
  • b. T. Popoviciu, Asupra unei ecuaţiuni diferenţiale, Gazeta matematică, 34, pp. 417-420 (in Romanian) [JFM 54.0397.02].
  • c. T. Popoviciu, O problemă asupra indicatorilor, Revista de matematică din Timişoara, 9 (1929) no. 9, p. 101 (in Romanian) (Note matematice, nota nr. 23).
  • d. T. Popoviciu, Asupra unei teoreme de aritmetică, Revista de matematică din Timişoara, 9 (1929) no. 9, pp. 99-101 (in Romanian) (Note matematice, nota nr. 22).
  • e. T. Popoviciu, Asupra problemei 85, Revista de matematică din Timişoara, 9 (1929) no. 5, p. 52 (in Romanian) (Note matematice, nota nr. 13).
  • f. T. Popoviciu, Asupra unei probleme de algebră, Revista matematică din Timişoara, 9 (1929) no. 4, pp. 37-39 (in Romanian).
1928
  • a. T. Popoviciu, Asupra geometriei unui triunghi deformabil în echilibru, Gazeta matematică, 33, pp. 284-289 (in Romanian) [JFM 53.0745.01].
  • b. T. Popoviciu, Asupra descompunerii unui trinom cu coeficienţii raţionali, Revista matematică din Timişoara, 7 (1928) no. 12, pp. 195-198 (in Romanian).
  • c. T. Popoviciu, Asupra unei probleme de algebră, Curierul matematic, 3 (1928), pp. 162-165 (in Romanian).
1927
  • a. T. Popoviciu, Asupra unui articol, Revista matematică din Timişoara, 7 (1927) no. 8, p. 128 (in Romanian).
  • b. T. Popoviciu, Asupra unui articol, Revista matematică din Timişoara, 7 (1927) no. 7, p. 109 (in Romanian) (Note matematice, nota nr. 13).
  • c. T. Popoviciu, Geometrie şi Mecanică, Revista matematică din Timişoara, 7 (1927), p. 109 (in Romanian) (Note matematice, nota nr. 12).
  • d. T. Popoviciu, Asupra funcţiunilor pseudo-omogene, Revista matematică din Timişoara, 7 (1927) no. 7, p. 109 (in Romanian) (Note matematice, nota nr. 11).
  • e. T. Popoviciu, Generalizarea unui determinant, Revista matematică din Timişoara, 7 (1927) no. 4, pp. 59-60 (in Romanian).
  • f. T. Popoviciu, Asupra formulei binomului, Arad, 7 pp. (editura autorului) (in Romanian).
  • g. T. Popoviciu, Asupra unor polinoame remarcabile, Arad, 93 pp. (editura autorului) (in Romanian).
  • h. T. Popoviciu, Asupra unor polinoame cari formează un şir Appell, Curierul matematic, 3 (1927) no. 9, pp. 145-152 (in Romanian).
  • i. T. Popoviciu, Asupra unei formule diferenţiale, Curierul matematic, 3 (1927), pp. 119-122 (in Romanian).
  • j. T. Popoviciu, Substituţiunile lineare şi un sistem de ecuaţiuni funcţionale, Curierul matematic, 3 (1927), pp. 97-102 (in Romanian).
  • k. T. Popoviciu, Asupra unei operaţii funcţionale, Curierul matematic, 3 (1927), pp. 69-70 (in Romanian).
  • l. T. Popoviciu, Asupra curbelor plane, Curierul matematic, 3 (1927), pp. 33-41 (in Romanian).
  • m. T. Popoviciu, Asupra funcţiilor eliptice, Curierul matematic, 3 (1927), pp. 9-10 (in Romanian).
  • n. T. Popoviciu, Asupra unui determinant, Curierul matematic, 2 (1927), pp. 202-203 (in Romanian).
1926
  • a. T. Popoviciu, Funcţii pseudo-simetrice, Gazeta matematică, 31, p. 455 (in Romanian).
  • b. T. Popoviciu, Generalizarea unei proprietăţi a seriei lui “e”. Revista matematică din Timişoara, 6 (1926) no. 6, pp. 83-85 (in Romanian).
  • c. T. Popoviciu, Geometrie şi Mecanică, Foaia matematică, 3 (1926), pp. 151-153 (in Romanian).
  • d. T. Popoviciu, A doua notă asupra seriilor lui Bertrand, Buletinul Societăţii studenţilor în matematici, 2 (1926), pp. 2-7 (in Romanian).
  • e. T. Popoviciu, Prima notă asupra seriilor lui Bertrand, Buletinul Societăţii studenţilor în matematici, 2 (1926), pp. 12-21 (in Romanian).
  • f. T. Popoviciu, Discriminantul unei ecuaţii algebrice, Buletinul Societăţii studenţilor în matematici, 4 (1926), pp. 35-38 (in Romanian).
  • g. T. Popoviciu, Teoreme de geometrica triunghiului, Buletinul Societăţii studenţilor în matematici, 4 (1926), pp. 21-24 (in Romanian).
  • h. T. Popoviciu, Câteva proprietăţi ale polinoamelor lui Laguerre, Buletinul Societăţii studenţilor în matematici, ??? (1926), pp. 25-30 (in Romanian).
  • i. T. Popoviciu, Asupra unor determinanţi şi a ecuaţiilor lor caracteristice, Curierul matematic, 2 (1926), pp. 161-164 (in Romanian).
  • j. T. Popoviciu, Asupra unor identităţi algebrice, Curierul matematic, 2 (1926), pp. 113-118 (in Romanian).
  • k. T. Popoviciu, Generalizarea unui determinant funcţional, Curierul matematic, 2 (1926), p. 87 (in Romanian).
  • l. T. Popoviciu, Asupra unor puncte coliniare, Curierul matematic, 2 (1926), pp. 65-68 (in Romanian).
  • m. T. Popoviciu, Asupra seriei ipergometrice, Curierul matematic, 1 (1926), pp. 177-182 (in Romanian).
1925
  • a. T. Popoviciu, Asupra coeficienţilor binomiali, Revista matematică din Timişoara, 5 (1925), pp. 99-102 (in Romanian).
  • b. T. Popoviciu, Asupra calculării discriminantului ecuaţiei de gr. III, Revista matematică din Timişoara, 5 (1925) no. 5, p. 71 (in Romanian).
  • c. T. Popoviciu, Asupra unor determinanţi şi a ecuaţiilor lor caracteristice, Revista matematică din Timişoara, 5 (1925) no. 2, pp. 19-21 (in Romanian).
  • d. T. Popoviciu, Asupra polinoamelor ultrasferice, Buletinul Societăţii studenţilor în matematici, ??? (1925), pp. 32-38 (in Romanian).
  • e. T. Popoviciu, Asupra unor polinoame remarcabile. Buletinul Societăţii studenţilor în matematici, ??? (1925), pp. 12-19 (in Romanian).
  • f. T. Popoviciu, Asupra unei identităţi, Curierul matematic, 1 (1925), pp. 134-136 (in Romanian).
  • g. T. Popoviciu, Asupra conicelor circumscrise unui triunghi, Curierul matematic, 1 (1925), p. 74 (in Romanian).
  • h. T. Popoviciu, Asupra formulei binomului şi a factorialei, Curierul matematic, 1 (1925), pp. 36-39; 51-53 (in Romanian).
  • i. T. Popoviciu, Asupra ecuaţiei algebrice, Jurnal matematic, 2 (1925), pp. 129-132 (in Romanian).
  • j. T. Popoviciu, Asupra funcţiunei exponenţiale, Jurnal matematic, 2 (1925), pp. 113-120 (in Romanian).
  • k. T. Popoviciu, Asupra unei integrale a lui Hermite, Jurnal matematic, 2 (1925), pp. 106-107 (in Romanian).
  • l. T. Popoviciu, Asupra funcţiunii exponenţiale, Jurnal matematic, 2 (1925), pp. 99-105 (in Romanian).
  • m. T. Popoviciu, O generalizare a funcţiei gamma, Jurnal matematic, 2 (1925), pp. 85-92; 120-129 (in Romanian).
  • n. T. Popoviciu, Asupra unei dezvoltări polinomiale, Jurnal matematic, 2 (1925), pp. 72-75 (in Romanian).
  • o. T. Popoviciu, Asupra restului diviziunilor prin polinoame, Jurnal matematic, 2 (1925), pp. 69-72 (in Romanian).
  • p. T. Popoviciu, Generalizarea unei relaţii asupra combinărilor, Jurnal matematic, 2 (1925), pp. 68-69 (in Romanian).
  • q. T. Popoviciu, Asupra diametrelor conjugate la curbele algebrice, Jurnal matematic, 2 (1925), pp. 50-51 (in Romanian).
  • r. T. Popoviciu, O teoremă asupra triunghiurilor echibrocardiene, Jurnal matematic, 2 (1925), pp. 49-50 (in Romanian).
  • s. T. Popoviciu, Observări asupra unei însumări, Jurnal matematic, 2 (1925), pp. 46-49 (in Romanian).
  • t. T. Popoviciu, Asupra diferenţelor finite, Jurnal matematic, 2 (1925), pp. 34-46; 57-61 (in Romanian).
  • u. T. Popoviciu, O îndreptare, Jurnal matematic, 2 (1925), pp. 29-34 (in Romanian).
  • v. T. Popoviciu, Asupra transformărilor ortogonale, Jurnal matematic, 2 (1925), pp. 21-23 (in Romanian).
  • w. T. Popoviciu, Asupra unor determinanţi, Jurnal matematic, 2 (1925), pp. 17-23 (in Romanian).
  • x. T. Popoviciu, Asupra sumei puterilor asemenea a termenilor unei progresii aritmetice, Jurnal matematic, 2 (1925), pp. 12-17 (in Romanian).
  • y. T. Popoviciu, Asupra suprafeţelor n-dimensionale, Jurnal matematic, 2 (1925), pp. 3-12 (in Romanian).
1924
  • a. T. Popoviciu, Relaţiuni între unghiurile unui triunghi, Revista matematică din Timişoara, 4 (1924) no. 5, pp. 67-69 (in Romanian).
1923
  • a. T. Popoviciu, Teoreme asupra poligoanelor regulate, Jurnal matematic, 1 (1923), pp. 135-141 (in Romanian).
  • ă. T. Popoviciu, Determinanţi pseudo-simetrici, Jurnal matematic, 1 (1923), pp. 129-132 (in Romanian).
  • â. T. Popoviciu, Asupra curbelor de clasa a treia analagmatice în coordonate tangenţiale triliniare, Jurnal matematic, 1 (1923), pp. 126-129 (in Romanian).
  • b. T. Popoviciu, Asupra seriilor divergente, Jurnal matematic, 1 (1923), pp. 121-125 (in Romanian).
  • c. T. Popoviciu, Asupra metodei lui Bernoulli pentru aproximarea rădăcinilor unei ecuaţii algebrice, Jurnal matematic, 1 (1923), pp. 113-116 (in Romanian).
  • d. T. Popoviciu, Asupra unei însumări, Jurnal matematic, 1 (1923), pp. 102-105; 109-113 (in Romanian).
  • e. T. Popoviciu, Asupra polinoamelor lui Legendre, Jurnal matematic, 1 (1923), pp. 97-101 (in Romanian).
  • f. T. Popoviciu, Asupra unei teoreme din geometria triunghiului, Jurnal matematic, 1 (1923), p. 81 (in Romanian).
  • g. T. Popoviciu, Asupra polului şi polarei triunghiulare, Jurnal matematic, 1 (1923), p. 90 (in Romanian).
  • h. T. Popoviciu, O proprietate remarcabilă a dreptei lui Gauss în legătură cu un triunghi, Jurnal matematic, 1 (1923), pp. 78-80 (in Romanian).
  • i. T. Popoviciu, O teoremă de geometrie, Jurnal matematic, 1 (1923), pp. 77-78 (in Romanian).
  • î. T. Popoviciu, Asupra progresiilor cu mai multe raţii, Jurnal matematic, 1 (1923), pp. 68-70 (in Romanian).
  • j. T. Popoviciu, Asupra ecuaţiei de gradul II, Jurnal matematic, 1 (1923), pp. 66-68 (in Romanian).
  • k. T. Popoviciu, Câteva puncte, drepte şi conice remarcabile într-un triunghi, Jurnal matematic, 1 (1923), pp. 61-66; 73-76 (in Romanian).
  • l. T. Popoviciu, Două cubice analagmatice, Jurnal matematic, 1 (1923), p. 57 (in Romanian).
  • m. T. Popoviciu, Asupra triunghiurilor speciale, Jurnal matematic, 1 (1923), pp. 54-56 (in Romanian).
  • n. T. Popoviciu, Asupra calculului modulului sistemului de logaritmi zecimali, Jurnal matematic, 1 (1923), pp. 44-46 (in Romanian).
  • o. T. Popoviciu, O generalizare, Jurnal matematic, 1 (1923), pp. 41-43 (in Romanian).
  • p. T. Popoviciu, Generalizarea teoremelor lui Franke şi Kariya, Jurnal matematic, 1 (1923), pp. 37-39 (in Romanian).
  • q. T. Popoviciu, O chestiune de aritmetică, Jurnal matematic, 1 (1923), pp. 31-33 (in Romanian).
  • r. T. Popoviciu, Generalizarea teoremelor lui Franke şi Kariya, Jurnal matematic, 1 (1923), pp. 25-30 (in Romanian).
  • s. T. Popoviciu, Asupra funcţiunilor pseudo-omogene, Jurnal matematic, 1 (1923), pp. 13-19 (in Romanian).
  • t. T. Popoviciu, Asupra unei probleme, Jurnal matematic, 1 (1923), pp. 7-11 (in Romanian).
  • u. T. Popoviciu, O demonstraţie a teoremei lui Simson, Jurnal matematic, 1 (1923), pp. 6-7 (in Romanian).
  • v. T. Popoviciu, Asupra unor ceviene într-un triunghi, Jurnal matematic, 1 (1923), pp. 1-5 (in Romanian).
  • w. T. Popoviciu, Asupra problemei 3124, Gazeta matematică, 30, p. 94 (in Romanian).
  • x. T. Popoviciu, Asupra triunghiurilor în care avem a=(b²+c²)/(b+c), Revista matematică din Timişoara, 3 (1923) no. 7, pp. 102-104 (in Romanian).
  • y. T. Popoviciu, Asupra problemei 3018, Gazeta matematică, 29, p. 89 (in Romanian).
  • z. T. Popoviciu, Generalizarea teoremei lui Franke, Gazeta matematică, 28, pp. 409-410 (in Romanian).
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