Arthur Sard

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Arthur Sard (born July 28, 1909 in New York City , † August 31, 1980 in Basel ) was an American mathematician who is known for his work in the field of differential topology and spline approximation . Sard's theorem is particularly famous , which says that the set of critical values ​​of a sufficiently often differentiable function has measure zero.

Life

Arthur Sard grew up in New York City and spent most of his life there. He attended Friends Seminary , a private school in Manhattan , and then studied at Harvard University , where he received his bachelor's degree in 1931 , his master's degree in 1932 and his Ph.D. in 1936. received. His doctoral thesis was entitled The measure of the critical values ​​of functions ("The measure of the critical values ​​of functions"). He was then one of the first lecturers of the newly founded Queens College , where he taught from 1937 to 1970.

During the war he worked in the Applied Mathematics Group at Columbia University (AMG-C), which carried out mathematical research on behalf of the Applied Mathematics Panel , mainly in the area of fire control systems for machine guns on bombers . Saunders Mac Lane wrote about Sard: “His judicious judgments kept AMG-C on a straight course, […]” (German: “His deliberate judgments kept AMC-C on course,”).

Sard retired from Queens College in 1970 and went to La Jolla , a district of San Diego , where he worked for five years as a research associate in the mathematics department of the University of California, San Diego . In 1975 he moved to Binningen near Basel and taught at various European universities and research institutes. In 1978 and 79 he was visiting professor at the University of Siegen , in 1978 he was invited as a guest speaker by the Academy of Sciences of the USSR . Arthur Sard died on August 31, 1980 in Basel.

From 1938 until his death, Sard published nearly 40 research articles in prestigious journals . He also wrote two monographs : Linear Approximation in 1963 and A Book of Splines in 1971, together with Sol Weintraub . According to the book of the German Mathematicians' Association , the "substantial" linear approximation is "an essential contribution to the theory of the approximation of integrals, derivatives, function values ​​and sums".

Works

Sard published 38 research articles and these two monographs:

literature

  • Franz-Jürgen Delvos, Walter Schempp: Arthur Sard - In Memoriam . In: Walter Schempp, Karl Zeller (eds.): Multivariate Approximation Theory II, Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, February 8-12, 1982. Birkhäuser Verlag , Basel 1982, ISBN 3-7643 -1373-0 ( International Series of Numerical Mathematics. Vol. 61), pp. 23-24.

Individual evidence

  1. ↑ a b c d Delvos, Schempp (1982)
  2. ^ Notes. In: Bulletin of the American Mathematical Society. 43, No. 5, 1937, ISSN  1088-9485 , ( PDF )
  3. ^ Saunders Mac Lane: Requiem for the Skillful. In: Notices of the American Mathematical Society. 44, No. 2, 1997, ISSN  0002-9920 , pp. 207-208 ( PDF; 43 kB ).
  4. ^ A b News and Notices. In: The American Mathematical Monthly , 88, No. 1, January 1981, Mathematical Association of America , ISSN 0002-9890 , pp. 81-82 ( JSTOR 2320733 at JSTOR )  
  5. ↑ Manfred v. Golitschek, Paul Otto Runck: A. Sard, Linear Approximation. In: Annual report of the German Mathematicians Association , No. 73, BG Teubner Verlag , Stuttgart 1971/72, ISSN  0012-0456 , pp. 31–33 ( online at DigiZeitschriften )
personal data
SURNAME Sard, Arthur
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH July 28, 1909
PLACE OF BIRTH New York City
DATE OF DEATH August 31, 1980
Place of death Basel