Arthur Milgram

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

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

Milgram dealt with different areas of mathematics, such as partial differential equations, functional analysis, combinatorics, differential geometry, topology. He is known for the Lax- Milgram theorem in the theory of weak solutions for boundary value problems of partial differential equations together with Peter Lax. There are at conditions for the invertibility of occurring in these problems bilinear functional forms in function spaces and thus for the existence and uniqueness of weak solutions.

Together with Tibor Gallai he also dealt with graph theory. Both took place in the 1940s, the rate of Dilworth, but hesitated with the release, so that Robert Dilworth them forestalled 1950.

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

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

References

• Mathematicians ( 20th century)
• Americans
• Born in 1912
• Died in 1961
• Man