Arthur Milgram

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Arthur Norton Milgram (born June 3, 1912 in Philadelphia , † January 30, 1961 ) was an American mathematician.

Milgram received his doctorate in 1937 from the University of Pennsylvania under the Moore student John Robert Kline (Decompositions and Dimension of Closed Sets in ). He then taught at the University of Notre Dame and was at the Institute for Advanced Study in 1946/47 . He was from 1947 professor at Syracuse University and then from 1951 at the University of Minnesota in Minneapolis .

Milgram dealt with various areas of mathematics, such as partial differential equations , functional analysis , combinatorics , differential geometry , topology . The Lemma Lax-Milgram from the theory of weak solutions of boundary value problems of partial differential equations is after him and Peter Lax . this contains conditions for the invertibility of the bilinear functional forms occurring in these problems in function spaces and thus for the existence and uniqueness of weak solutions.

Together with Tibor Gallai , he also dealt with graph theory . Both found Dilworth's theorem in the 1940s but hesitated to publish so Robert Dilworth anticipated them in 1950.

His son R. James Milgram is also a math professor (Professor Emeritus at Stanford University ).

During his time in Notre Dame, after the lectures of Emil Artin, he wrote his book on Galois theory (which appeared with an appendix by Milgram).

References

  1. ↑ According to Kibbey's History of the Mathematics Faculty at Syracuse University ( September 10, 2008 memento in the Internet Archive ), there was a dispute between Abe Gelbart and Milgram that divided the faculty. Gelbart claimed to have proof of an analogue of Riemann's mapping theorem for sigma-monogenic functions, which Milgram doubted.
  2. ^ Lax, Milgram Parabolic equations . Contributions to the theory of partial differential equations. Annals of Mathematics Studies, Vol. 33. Princeton University Press. 1954, pp. 167-190.
  3. ↑ Erik Hemmingsen's memories of Syracuse University and his colleagues there in the 1950s ( Memento of May 13, 2008 in the Internet Archive )
personal data
SURNAME Milgram, Arthur
ALTERNATIVE NAMES Milgram, Arthur Norton (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH June 3, 1912
PLACE OF BIRTH Philadelphia
DATE OF DEATH January 30, 1961