Joseph Ritt

Joseph Fels Ritt ( born August 23, 1893 in New York City; † January 5, 1951 ) was an American mathematician.

Ride studied from 1908 at the City College of New York, where he won several math awards. Since he had to earn money, he worked from 1910 at the Naval Observatory in Washington, DC, but studied simultaneously to the George Washington University (Bachelor 's degree 1913). He then continued his studies with a fellowship at Columbia University, where he received his doctorate with Edward Kasner in 1917 and he then worked in the First World War as a computer for the government. In 1921 he became an assistant professor there in 1927 Associate Professor and in 1931 Professor at Columbia University, from 1945 when Davies Professor of Mathematics. 1942 to 1945 he was Director of the Mathematics Faculty.

Regardless achieved by Fatou and Julia ride many of their results on the iteration of rational functions .. Another important set of him relates to the uniqueness of the factorization of polynomials under composition. However, the largest and probably most important part of his work concerns the algebraic theory of differential equations, on which he also wrote two books ( Differential equations from standpoint of algebraic and differential algebra). In 1948 he published his book integration in finite terms on the integration of elementary functions ( in connection to Joseph Liouville ). The search for general algorithms presented itself as a relatively difficult problem out and was solved only in 1968 by Robert Risch. Later ride also dealt with applications of Lie groups to the theory of differential equations.

In 1950 he gave a plenary lecture at the International Congress of Mathematicians (ICM ) in Cambridge (Massachusetts ) ( differential Groups). In 1932 he was Colloquium Lecturer of the American Mathematical Society, of which he was vice-president from 1938 to 1940. He was a member of the National Academy of Sciences since 1933.

His PhD is one of Ellis Kolchin.

Writings

  • Differential equations from standpoint of algebraic, New York, American Mathematical Society 1932
  • Theory of Functions, New York 1945, 1947
  • Integration in finite terms: Liouville 's Theory of Elementary Methods, Columbia University Press 1948
  • Differential Algebra, American Mathematical Society in 1950, Dover 1966
Pierre Fatou Gaston Julia Cambridge (Massachusetts) Name Authority File
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