Samuel Eilenberg (September 30, 1913-January 30, 1998) was a Polish mathematician. He was born in Warsaw, Poland and died in New York, USA where he had spent much of his career as a professor at Columbia University. September 30 is the 273rd day of the year (274th in leap years) in the Gregorian calendar, with 92 days remaining. ... 1913 (MCMXIII) was a common year starting on Wednesday. ... January 30 is the 30th day of the year in the Gregorian calendar. ... 1998 (MCMXCVIII) was a common year starting on Thursday of the Gregorian calendar, and was designated the International Year of the Ocean. ... Leonhard Euler is considered by many people to be one of the greatest mathematicians of all time A mathematician is a person whose primary area of study and research is mathematics. ... Warsaw (Polish: , (?), in full The Capital City of Warsaw, Polish: Miasto StoÅ‚eczne Warszawa) is the capital of Poland and its largest city. ... Official language(s) None, English de facto Capital Albany Largest city New York City Area  Ranked 27th  - Total 54,520 sq mi (141,205 km²)  - Width 285 miles (455 km)  - Length 330 miles (530 km)  - % water 13. ... Columbia University is a private university in the Morningside Heights neighborhood of the Borough of Manhattan in New York City. ...

His main interest was algebraic topology. He worked on the axiomatic treatment of homology theory with Norman Steenrod (whose names the Eilenberg-Steenrod axioms bear), and on homological algebra with Saunders Mac Lane, wrote a book on homological algebra with Henri Cartan that became a classic, and took part in the Bourbaki group meetings. Later in life he worked mainly in pure category theory, being one of the founders of the field. The Eilenberg telescope is a surprising construction, applying the telescoping cancellation idea to projective modules. Eilenberg also wrote an important book on automata theory. Algebraic topology is a branch of mathematics in which tools from abstract algebra are used to study topological spaces. ... In mathematics, homology theory is the axiomatic study of the intuitive geometric idea of homology of cycles on topological spaces. ... Norman Earl Steenrod (April 22, 1910–October 14, 1971) was a leading mathematician, working in the field of topology. ... In mathematics, specifically in algebraic topology, the Eilenberg-Steenrod axioms are properties that homology theories of topological spaces have in common. ... Homological algebra is the branch of mathematics which studies the methods of homology and cohomology in a general setting. ... Saunders Mac Lane (4 August 1909, Taftville, Connecticut - 14 April 2005, San Francisco) was an American mathematician who cofounded category theory with Samuel Eilenberg. ... Homological algebra is the branch of mathematics which studies the methods of homology and cohomology in a general setting. ... Henri Cartan (born July 8, 1904) is a son of Élie Cartan, and is, as his father was, a distinguished and influential French mathematician. ... Nicolas Bourbaki is the collective allonym under which a group of mainly French 20th-century mathematicians wrote a series of books presenting an exposition of modern advanced mathematics, beginning in 1935. ... Category theory is a mathematical theory that deals in an abstract way with mathematical structures and relationships between them. ... In mathematics, telescoping series is an informal expression referring to a series whose sum can be found by exploiting the circumstance that nearly every term cancels with a succeeding or preceding term. ... In mathematics, particularly in abstract algebra and homological algebra, the concept of projective module over a ring R is a more flexible generalisation of the idea of a free module (that is, a module with basis vectors). ... In theoretical computer science, automata theory is the study of abstract machines and problems they are able to solve. ...

The X-machine (a form of automaton) was introduced in 1974 by Samuel Eilenberg. X-machines were introduced in 1974 by Samuel Eilenberg. ... 1974 (MCMLXXIV) was a common year starting on Tuesday (the link is to a full 1974 calendar). ...

See also

• Saunders Mac Lane
• Stefan Banach
• Stanisław Ulam

Saunders Mac Lane (4 August 1909, Taftville, Connecticut - 14 April 2005, San Francisco) was an American mathematician who cofounded category theory with Samuel Eilenberg. ... Stefan Banach Stefan Banach (March 30, 1892 in Kraków, Austria-Hungary now Poland– August 31, 1945 in Lwów, Soviet Union - occupied Poland), was an eminent Polish mathematician, one of the moving spirits of the Lwów School of Mathematics in pre-war Poland. ... Stanisław Marcin Ulam (April 13, 1909–May 13, 1984) was a Polish mathematician who helped develop the key theory behind the hydrogen bomb. ...

References

• S.Eilenberg. Automata, Languages and Machines. ISBN 0122340019

External links

• Samuel Eilenberg at the Mathematics Genealogy Project
• John J. O'Connor and Edmund F. Robertson. Samuel Eilenberg at the MacTutor History of Mathematics archive.
• Eilenberg's biography − from the National Academies Press, by Hyman Bass, Henri Cartan, Peter Freyd, Alex Heller and Saunders Mac Lane.