Andrey Tikhonov | |
|---|---|
 Tikhonov in 1975 | |
| Born | (1906-10-17)17 October 1906 |
| Died | 7 October 1993(1993-10-07) (aged 86) |
| Alma mater | Moscow State University |
| Known for | Important contributions totopology,functional analysis,mathematical physics,ill-posed problems; |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Moscow State University |
| Doctoral advisor | Pavel Alexandrov |
| Doctoral students | Aleksandr Andreyevich Samarskiĭ Alexei Georgievich Sveshnikov |
Andrey Nikolayevich Tikhonov (Russian:Андре́й Никола́евич Ти́хонов; 17 October 1906 – 7 October 1993) was a leadingSoviet Russianmathematician andgeophysicist known for important contributions totopology,functional analysis,mathematical physics, andill-posed problems. He was also one of the inventors of themagnetotellurics method in geophysics. Other transliterations of his surname include "Tychonoff", "Tychonov", "Tihonov", "Tichonov".
Born inGzhatsk, he studied at theMoscow State University where he received a Ph.D. in 1927 under the direction ofPavel Sergeevich Alexandrov.[1] In 1933 he was appointed as a professor at Moscow State University. He became a corresponding member of theUSSR Academy of Sciences on 29 January 1939 and afull member of the USSR Academy of Sciences on 1 July 1966.
Tikhonov worked in a number of different fields in mathematics. He made important contributions totopology,functional analysis,mathematical physics, and certain classes ofill-posed problems.Tikhonov regularization, one of the most widely used methods to solve ill-posedinverse problems, is named in his honor. He is best known for his work on topology, including themetrization theorem he proved in 1926, and theTychonoff's theorem, which states that every product of arbitrarily manycompacttopological spaces is againcompact. In his honor,completely regular topological spaces are also namedTychonoff spaces.
In mathematical physics, he proved the fundamentaluniqueness theorems for theheat equation[2] and studiedVolterra integral equations.
He founded the theory ofasymptotic analysis for differential equations with small parameter in the leading derivative.[3]
Tikhonov played the leading role in founding theFaculty of Computational Mathematics and Cybernetics ofMoscow State University and served as its first dean during the period of 1970–1990.
Tikhonov received numerous honors and awards for his work, including theLenin Prize (1966) and theHero of Socialist Labor (1954, 1986).
