Philip Hartman


Philip Hartman
Born(1915-05-16)16 May 1915
Died28 August 2015(2015-08-28) (aged 100)
Alma materJohns Hopkins University[2]
Known forHartman–Grobman theorem
AwardsGuggenheim Fellowship (Mathematics, 1950),[3]
Honorary Member of the AMS[4]
Scientific career
InstitutionsJohns Hopkins University
Queens College
Doctoral advisorAurel Wintner[5]

Philip Hartman (May 16, 1915 – August 28, 2015) was an American mathematician at Johns Hopkins University working on differential equations who introduced the Hartman–Grobman theorem. He served as Chairman of the Mathematics Department at Johns Hopkins for several years. He has an Erdös number of 2.[6]

His book gives a necessary and sufficient condition for solutions of ordinary initial value problems to be unique and to depend on a class C1 manner on the initial conditions for solutions.

He died in August 2015 at the age of 100.[7]


  • Hartman, Philip (2002) [1964], Ordinary differential equations, Classics in Applied Mathematics, 38, Philadelphia: Society for Industrial and Applied Mathematics, ISBN 978-0-89871-510-1, MR 1929104


  1. ^ James McKeen Cattell, American Men of Science, 1966
  2. ^ Conferring of Degrees, The Johns Hopkins University, Baltimore, June 14 1938.
  3. ^ Philip Hartman, John Simon Guggenheim Memorial Foundation.
  4. ^ Honorary Members of the AMS
  5. ^ Philip Hartman at the Mathematics Genealogy Project
  6. ^ "Compute your Erdös number - The Erdös Number Project- Oakland University". Retrieved 2017-08-15.
  7. ^ Newhouse, Sheldon E. (2015). "On a differentiable linearization theorem of Philip Hartman". arXiv:1510.03779 [math.DS].

External links