Andrey Nikolayevich Tychonoff (Андрей Николаевич Тихонов: October 30, 1906–1993) was a Russian mathematician. Tychonoff originally published in German, whence the transliteration. The English style "Tikhonov" is also commonly seen. October 30 is the 303rd day of the year (304th in leap years) in the Gregorian Calendar, with 62 days remaining. ... 1906 was a common year starting on Monday (see link for calendar). ... 1993 is a common year starting on Friday of the Gregorian calendar and marked the Beginning of the International Decade to Combat Racism and Racial Discrimination (1993-2003). ... A mathematician is a person whose area of study and research is mathematics. ...

Born near Smolensk, he studied at Moscow where he graduated in 1927. In 1933 he was appointed as a professor at Moscow University. He received numerous honors, like the Lenin Prize in 1966 and the membership in the Academy of Sciences of the USSR. A view of Smolensk in 1912 Smolensk (Russian: Смоленск;, Belarusian: Смаленск) is a city in western Russia, located on the Dniepr river at 54. ... Moscow (Russian: Москва́, Moskva, IPA:   listen?) is the capital of Russia, located on the river Moskva. ... 1927 was a common year starting on Saturday (link will take you to calendar). ... 1933 was a common year starting on Sunday (link will take you to calendar). ... Moscow State University campus M.V. Lomonosov Moscow State University (Московский Государственный Университет имени М.В.Ломоносова, often abbreviated МГУ, MSU, MGU) is considered the oldest university in Russia, founded in 1755. ... Lenin Prize (Russian: Ле́нинская пре́мия) was one of the highest awards in the Soviet Union. ... 1966 was a common year starting on Saturday (link goes to calendar) // Events January January 1 - In a coup, Colonel Jean-Bédel Bokassa ousts president David Dacko and takes over the Central African Republic. ... Russian Academy of Sciences: main building Russian Academy of Sciences (Росси́йская Акаде́мия Нау́к) is the national academy of Russia. ...

Tychonoff worked in a number of different fields in mathematics. He made important contributions to topology, functional analysis, mathematical physics, and certain classes of ill-posed problems. Tikhonov regularization, one of the most widely used methods to solve inverse problems, is named in his honour. He is best known for his work on topology, including the metrization theorem he proved in 1926, and the Theorem of Tychonoff which states that every product of arbitrarily many compact topological spaces is again compact. In his honor, completely regular topological spaces are also named Tychonoff spaces. Topology (Greek topos, place and logos, study) is a branch of mathematics concerned with the study of topological spaces. ... Functional analysis is that branch of mathematics and specifically of analysis which is concerned with the study of spaces of functions. ... Mathematical physics is a scientific discipline aimed at studying and solving problems inspired by physics within a mathematically rigorous framework. ... In mathematics, an ill-posed problem is one that is not well-posed, in that it violates one or more of the following conditions: A solution exists. ... Tikhonov regularization is the most commonly used method of regularization of ill-posed problems. ... The inverse problem is the task that often occurs in many branches of science and mathematics where the values of some model parameter(s) must be obtained via manipulation of observed data. ... A metrizable space is a topological space that is homeomorphic to a metric space. ... 1926 was a common year starting on Friday (link will take you to calendar). ... In mathematics, Tychonoffs theorem states that the product of any collection of compact topological spaces is compact. ... In mathematics, a compact space is a space that resembles a closed and bounded subset of Euclidean space Rn in that it is small in a certain sense and contains all its limit points. The modern general definition calls a topological space compact if every open cover of it has... Topological spaces are structures that allow one to formalize concepts such as convergence, connectedness and continuity. ... In mathematics, a compact space is a space that resembles a closed and bounded subset of Euclidean space Rn in that it is small in a certain sense and contains all its limit points. The modern general definition calls a topological space compact if every open cover of it has... In topology and related branches of mathematics, Tychonoff spaces and completely regular spaces are particularly nice kinds of topological spaces. ... In topology and related branches of mathematics, Tychonoff spaces and completely regular spaces are particularly nice kinds of topological spaces. ...

Publications

• AN Tikhonov and VY Arsenin, Solutions of ill-posed problem, Winston, New York, 1977 ISBN 0470991240

See also

• Biography at the MacTutor archive