Albert C. Schaeffer

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Albert Charles Schaeffer , called Al Schaeffer, (born August 13, 1907 in Belvidere , Illinois , † February 2, 1957 ) was an American mathematician who dealt with complex analysis.

Life

Schaeffer was born as the son of Albert John and Mary Plane Schaeffer. Herrick born. He studied civil engineering at the University of Wisconsin ( Bachelor 1930) and worked from 1930 to 1933 as a highway engineer. 1936 did his PhD in mathematics with Eberhard Hopf at the Massachusetts Institute of Technology . He then was an instructor at Purdue University . In 1939 he came to Stanford University as an instructorwhere he became Assistant Professor in 1941, Associate Professor in 1943 and Professor in 1946. 1947 to 1950 Schaeffer was a professor at Purdue University. 1950 to 1957 he was a professor at the University of Wisconsin, 1956/57 as chairman of the mathematics faculty.

Schaeffer worked with Donald Spencer at Stanford University on problems of variation in the conformal mappings , for example coefficient ranges for simple functions (i.e. analytical and one-to-one), a problem from the environment of the Bieberbach conjecture , which they were able to confirm for the third coefficient (but what was already proven by Charles Loewner ). Their goal was to prove the fourth coefficient, which would have required the numerical integration of about a million differential equations. A little later Paul Garabedian and Max Schiffer also improved their method in Stanford, reduced the number of integrations required and Garabedian was able to solve the problem. In 1948, Schaeffer and Spencer received the Bôcher Memorial Prize for their work on simple functions.

In 1931 he married Caroline Juliette Marsh, with whom he had two sons and a daughter.

Fonts

  • with Donald Spencer: Coefficient functions for plain regions, American Mathematical Society Colloquium Publications 1950

literature

  • Halsey Royden: History of Mathematics at Stanford.
  • Who Was Who in America. Volume 3: 1951-1960. Marquis Who's Who, Chicago 1963, p. 759

Web links

Individual evidence

  1. Schaeffer, Spencer: Coefficients of simple functions , parts I, II, III, IV, in: Duke Mathematical Journal. Volume 10, 1943, pp. 611-635; Volume 12, 1945, pp. 107-125, Proceedings of the National Academy of Sciences. Volume 32, 1946, pp. 111-116, Volume 35, 1949, pp. 143-150