Grigorii Fikhtengol'ts

Grigorii Mikhailovich Fikhtengol'ts (Russian: Григо́рий Миха́йлович Фихтенго́льц, Ukrainian: Григорій Михайлович Фіхтенгольц, romanizedHryhorii 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.

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
Thesis Theory of Depending on Parameter Primary Definite Integrals  (1918)
Doctoral advisorSamuil Shatunovsky
Doctoral students

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

He authored a three-volume textbook titled "A Course of Differential and Integral Calculus". The textbook covers mathematical analysis of functions of one real variable, functions of many real variables, and complex functions. Due to the depth and precision of the material's presentation, the book holds a classical position in the mathematical literature. It has been translated into several languages, including German, Polish, Chinese, Vietnamese, and Persian. However, no English translation has been completed yet.

Fikhtengol'ts's books on analysis are widely used in Middle and Eastern European, as well as Chinese universities, due to their exceptionally detailed and well-organized presentation of material on mathematical analysis. For unknown reasons, these books have not gained the same level of fame in universities in other parts 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

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  • 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

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  1. ^ "Fichtenholz biography" (PDF) (in Russian). Archived from the original (PDF) on 21 January 2022. Retrieved 2 February 2021.
  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 (in French). 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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