Philip Hartman

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Philip Hartman (born May 16, 1915 in Baltimore ; † August 28, 2015 ) was an American mathematician who dealt with analysis and statistics .

Life

Hartman received his bachelor's degree in 1934 and received his doctorate in 1938 under Francis Murnaghan at Johns Hopkins University ( mean motions and almost periodic functions ). He was a junior instructor at Johns Hopkins University from 1935 to 1938 and an instructor at Queens College in New York from 1938 to 1946 . In 1947 he became associate professor and 1953 professor at Johns Hopkins University. From 1965 to 1969 and 1974/75 he headed the mathematics faculty. In 1980 he retired.

Hartman was visiting professor at the University of California, Los Angeles , the University of Warwick , the University of Pisa, and New York University .

He was known as the author of a textbook on ordinary differential equations . A proposition named after him and the Russian mathematician DM Grobman (1959) describes the behavior of a dynamic system close to a hyperbolic fixed point. According to Hartman-Grobman's theorem , the behavior of the dynamic system is the same as that of its linearization near the fixed point.

Hartman published among others with Aurel Wintner and Louis Nirenberg .

In 1950/51 he was a Guggenheim Fellow . He was an honorary member of the American Mathematical Society .

He married in 1949 and has two children.

Charles C. Pugh is one of his PhD students .

He should not be confused with the biologist Philip E. Hartman (1926-2003), who was also a professor at Johns Hopkins University.

Fonts

  • Ordinary Differential Equations , Wiley 1964 (2nd edition, SIAM 1987, 2002)

See also

Individual evidence

  1. ^ Guggenheim Foundation Report, 1949, and James McKeen Cattell American Men of Science , 1966
  2. ↑ On a Differentiable Linearization theorem of Philip Hartman , Sheldon E. Newhouse, 2016, p. 9
  3. ↑ Philip Hartman in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / name used
  4. ↑ History Mathem. Faculty Johns Hopkins University ( Memento of the original from June 13, 2010 in the Internet Archive ) Info: The archive link was automatically inserted and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot / ead.library.jhu.edu
  5. ^ Hartman: A lemma in the theory of structural stability of differential equations , Proc. American Mathematical Society, Vol. 11, 1960, pp. 610-620
  6. ^ List of honorary members of the AMS, Notices AMS, 2000, pdf
personal data
SURNAME Hartman, Philip
BRIEF DESCRIPTION American mathematician and university professor
DATE OF BIRTH May 16, 1915
PLACE OF BIRTH Baltimore
DATE OF DEATH August 28, 2015