Philip Hartman (May 16, 1915 – August 28, 2015) was an American mathematician atJohns Hopkins University working ondifferential equations who introduced theHartman–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]

TheHartman–Watson distribution is named after him andGeoffrey S. Watson.

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

• Philip Hartman at theMathematics Genealogy Project

• 1915 births
• 2015 deaths
• Educators from Baltimore
• 20th-century American mathematicians
• American men centenarians
• Johns Hopkins University alumni
• Johns Hopkins University faculty
• Dynamical systems theorists
• American mathematical analysts

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