Grigorii Fikhtengol'ts
Григо́рий Фихтенго́льц
Born
Grigorii Mikhailovich Fikhtengol'ts

(1888-06-08)June 8, 1888
Odessa, Russian Empire
Died26 June 1959(1959-06-26) (aged 71)
Leningrad, Russian SFSR, Soviet Union
NationalitySoviet
Alma materOdessa University
Scientific career
FieldsReal analysis, functional analysis
ThesisTheory of Depending on Parameter Primary Definite Integrals (1918)
Doctoral advisorSamuil Shatunovsky
Doctoral students

Grigorii Mikhailovich Fikhtengol'ts (Russian: Григо́рий Миха́йлович Фихтенго́льц, Ukrainian: Григорій Михайлович Фіхтенгольц, romanized: Hryhorii Mykhailovych Fikhtenholts; 8 June[1] 1888 26 June 1959) was a Soviet mathematician working on real analysis and functional analysis. Fikhtengol'ts was one of the founders of the Leningrad school of real analysis.

He was born in Odessa, Russian Empire in 1888, graduated Odessa University in 1911.

He authored a three-volume textbook Differential and Integral Calculus. The books cover mathematical analysis of function of one real variable, functions of many real variables and of complex functions. Due to depth and precision of presentation of material, these books are defined as classical position in mathematical analysis. Book was translated, among others, into German, Polish, Chinese, Vietnamese, and Persian however translation to English language has not been done still.

Fikhtengol'ts's books about analysis are widely used in Middle and Eastern European as well as Chinese universities due to its exceptionality of detailed and well-ordered presentation of material about mathematical analysis. Due to unknown reasons, these books do not have the same fame in universities in other areas of the world.

He was an Invited Speaker of the ICM in 1924 in Toronto.[2]

Leonid Kantorovich and Isidor Natanson were among his students.


Books

  • Grigorii Mikhailovich Fikhtengol'ts (1965). The Fundamentals of Mathematical Analysis. Vol. 1. Pergamon Press. ISBN 9781483139074.
  • Grigorii Mikhailovich Fikhtengol'ts (1965). The Fundamentals of Mathematical Analysis. Vol. 2. Pergamon Press. ISBN 9781483154138.

References

  1. "Fichtenholz biography (russian)" (PDF).
  2. Fichtenholz, Gr. M. "Sur la notion de fermeture des systèmes de fonctions" (PDF). In: Proceedings of the International Congress of Mathematicians in Toronto, August 11–16. 1924. Vol. 1. p. 686. Archived from the original (PDF) on 1 December 2017. Retrieved 30 November 2017.
  • Kantorovič, L. V.; Natanson, I. P. (1958). "Grigoriĭ Mihaĭlovič Fihtengolʹc (on his seventieth birthday)". Vestnik Leningrad. Univ. (in Russian). 13 (7): 5–13. MR 0099901.
  • Kantorovič, L. V.; Natanson, I. P. (1959). "Grigoriĭ Mihaĭlovič Fihtengolʹc. Necrologue". Uspekhi Mat. Nauk (in Russian). 14 (5 (89)): 123–128. MR 0110626.
  • Bogachev, V. I. (2005). "On the works of G. M. Fikhtengolʹts on the theory of the integral". Istor.-Mat. Issled. (2) (in Russian). 9 (44). MR 2365093.
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