Mathematician:Andrey Nikolayevich Tychonoff
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Mathematician
Russian mathematician best known for his work in topology.
Nationality
Russian
History
- Born: 30 Oct 1906, Gzhatska, Smolensk, Russia
- Died: November 8, 1993, Moscow, Russia
Theorems and Definitions
- Tikhonov Regularization (also known as Tychonoff-Phillips Regularization) (with David L. Phillips)
- Tychonoff Space
- Tychonoff Topology
Results named for Andrey Nikolayevich Tychonoff can be found here.
Definitions of concepts named for Andrey Nikolayevich Tychonoff can be found here.
Publications
- 1926: Über einen Metrizationssatz von P. Urysohn (Math. Ann. Vol. 95: pp. 139 – 142)
- 1930: Über die topologische Erweiterung von Räumen (Math. Ann. Vol. 102, no. 1: pp. 544 – 561)
- 1935: Théorèmes d'unicité pour l'équation de la chaleur (Mat. Sbornik Vol. 42:2: pp. 199 – 216)
- 1936: Functional equations of Volterra type and their applications to mathematical physics
- 1943: Об устойчивости обратных задач [On the stability of inverse problems]: Doklady Akademii Nauk SSSR 39 (5): 195-198.
- 1952: Systems of Differential Equations Containing Small Parameters in the Derivatives (Mat. Sbornik Vol. 31, no. 73: 3: pp. 575 – 586)
- 1963: О решении некорректно поставленных задач и методе регуляризации [Solution of incorrectly formulated problems and the regularization method]: Doklady Akademii Nauk SSSR 151: 501-504.. Translated in Soviet Mathematics 4: 1035-1038.
- 1977: Solutions of Ill-Posed Problems (with V.Y. Arsenin) ISBN 0-470-99124-0
- 1987: Ill-posed Problems in the Natural Sciences (with A.V. Goncharsky) ISBN 0828537399
- 1990: Equations of Mathematical Physics (with A.A. Samarskii) ISBN 0486664228
- 1995: Numerical Methods for the Solution of Ill-Posed Problems (with A.V. Goncharsky, V.V. Stepanov, A.G. Yagoda) ISBN 079233583X
Also known as
His name in Russian is Андрей Николаевич Тихонов.
His surname can also be seen transliterated as Tikhonov.