Philip Hartman

Philip Hartman ( born May 16, 1915 in Baltimore) is an American mathematician who worked on analysis and statistics.

Hartman made ​​1934 a bachelor's degree and in 1938 with Francis Murnaghan at Johns Hopkins University PhD (Mean motions and almost periodic functions). He was from 1935 to 1938 Junior Instructor at Johns Hopkins University and from 1938 to 1946 Instructor at Queens College in New York. In 1947 he became Associate Professor in 1953 and Professor at Johns Hopkins University. 1965-1969 and 1974/75 he stood in front of the math faculty. In 1980 he retired.

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

He is known as author of a textbook on ordinary differential equations. One for him and the Russian mathematician DM Grobman (1959 ) named set describes the behavior of a dynamical system near a hyperbolic fixed point. By the theorem of Hartman - Grobman is the behavior of the dynamic system is equal to that of its linearization near the fixed point.

Hartman published, among others, with Aurel Wintner and Louis Nirenberg.

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.

His doctoral counts Charles C. Pugh.

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

Writings

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