Andrei Nikolajewitsch Tichonow
Andrei Nikolaevich Tikhonov ( Russian Андрей Николаевич Тихонов ., Scientific transliteration Andrei Nikolaevich Tikhonov ; English transliteration Andrei Tikhonov * October 17 . Jul / the thirtieth October 1906 greg. In Gzhatsk ; † 7. November 1993 in Moscow ) was a Russian mathematician . The notation Tychonoff is also often used.
Life
He was born near Smolensk and studied at Lomonosov University in Moscow from 1922 to 1927 . His first mathematical work appeared as early as 1925, and before he graduated, he made his fundamental contribution to product topology . In 1936 he completed his habilitation (Russian doctorate) on functional equations of the Volterra type with applications in mathematical physics (heat conduction). In 1936 he became a professor at Lomonosov University. He was temporarily dean of the Faculty of Numerical Computing and Cybernetics and deputy director of the Institute for Applied Mathematics of the Soviet Academy of Sciences.
Sergei Wassiljewitsch Fomin was one of his doctoral students .
plant
Tikhonov worked in various fields of mathematics. He made important contributions to topology , functional analysis , ordinary and partial differential equations, mathematical physics and applied problems, for example in geophysics and electrodynamics, numerical mathematics and certain classes of ill-posed problems. His work in topology is best known, including a metrizability theorem and Tychonoff's theorem , which states that every product space of any number of compact topological spaces is compact. In his honor, completely regular topological spaces are also called Tichonow spaces; a topological space he constructed in 1930 is now called Tichonow plank . In 1935 he proved a fixed point theorem named after him for continuous mappings of convex compact subsets of locally convex spaces . In numerical mathematics, he and Samarski developed the theory of homogeneous difference schemes.
Awards
In the course of his life he received numerous awards, including the Lenin Prize in 1966 (together with Valentin Konstantinowitsch Ivanov , for work on badly posed problems) and membership in the Academy of Sciences of the USSR (since 1939 as a corresponding member and from 1966 as a full member ). In 1953 he received the State Prize of the USSR . In 1990 he was awarded the Keldysh Gold Medal of the Academy of Sciences of the USSR.
In 1966 he was invited speaker at the International Congress of Mathematicians in Moscow (on methods of solving incorrectly posed problems). In 1977 he received an honorary doctorate from the TU Chemnitz.
Fonts
- with AA Samarski : differential equations of mathematical physics (= university books for mathematics . Vol. 39). Deutscher Verlag der Wissenschaften, Berlin 1959, English translation: Equations of Mathematical Physics , Dover 1963, 1990
- with AG Sveshnikov: The theory of functions of a complex variable. MIR, Moscow 1971.
Web links
- John J. O'Connor, Edmund F. Robertson : Andrei Nikolajewitsch Tichonow. In: MacTutor History of Mathematics archive .
- Andrei Nikolajewitsch Tichonow in the Mathematics Genealogy Project (English)
Individual evidence
- ↑ Tychonoff on the topological expansion of spaces , Mathematische Annalen, Volume 102, 1930, pp. 544-561 , he delivered a general proof in 1935. Tichonov's construction was initially received with skepticism by the leading Russian topologist Pavel Alexandrow .
- ↑ tu-chemnitz.de and tu-chemnitz.de
| personal data | |
|---|---|
| SURNAME | Tichonow, Andrei Nikolajewitsch |
| ALTERNATIVE NAMES | Tychonoff, Andrei Nikolajewitsch; Тихонов, Андрей Николаевич; Tychonoff, AN; Tikhonov, Andre Nikolaevich |
| BRIEF DESCRIPTION | Russian mathematician |
| DATE OF BIRTH | October 30, 1906 |
| PLACE OF BIRTH | Gschatsk |
| DATE OF DEATH | November 7, 1993 |
| Place of death | Moscow |