Mathematician:Andrey Nikolayevich Tychonoff

Russian mathematician (Russian: Андрей Николаевич Тихонов) best known for his work in topology.

His name is also frequently transliterated Tikhonov.

Nationality
Russian

History

 * Born: 30 Oct 1906, Gzhatska, Smolensk, Russia
 * Died: November 8, 1993, Moscow, Russia

Theorems and Definitions

 * Tychonoff's Theorem
 * Tychonoff Space
 * Tikhonov Regularization (also known as Tikhonov-Phillips Regularization)
 * Tikhonov Matrix

Books and Papers

 * 1935: Théorèmes d'unicité pour l'équation de la chaleur. Mathematical Sbornik 42:2: 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. Mathematical Sbornik 31(73):3: 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