# Philip Hartman

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{{short description|American mathematician}}
{{for|the actor and comedian|Phil Hartman}}
{{Infobox scientist
| name              = Philip Hartman
| image             = 
| alt               = 
| caption           = 
| birth_date        = {{Birth date|df=yes|1915|5|16}} 
| birth_place       = [Baltimore](/source/Baltimore)<ref>[James McKeen Cattell](/source/James_McKeen_Cattell), ''American Men of Science'', 1966</ref>
| death_date        = {{Death date and age|df=yes|2015|8|28|1915|5|16}} 
| death_place       = 
| fields            = [Mathematics](/source/Mathematics)
| workplaces        = [Johns Hopkins University](/source/Johns_Hopkins_University)<br/> [Queens College](/source/Queens_College%2C_City_University_of_New_York)
| alma_mater        = [Johns Hopkins University](/source/Johns_Hopkins_University)<ref>[https://jscholarship.library.jhu.edu/bitstream/handle/1774.2/36753/commencement1938.pdf?sequence=1  Conferring of Degrees, The Johns Hopkins University, Baltimore, June 14 1938].</ref>
| doctoral_advisor  = [Aurel Wintner](/source/Aurel_Wintner)<ref name=genealogy>{{MathGenealogy|id=11479}}</ref>
| doctoral_students = [Charles C. Pugh](/source/Charles_C._Pugh)
| awards            = [Guggenheim Fellowship](/source/Guggenheim_Fellowship) (Mathematics, 1950),<ref name=guggenheim>[http://www.gf.org/fellows/all-fellows/philip-hartman/ Philip Hartman, John Simon Guggenheim Memorial Foundation].</ref> <br/> Honorary Member of the [AMS](/source/American_Mathematical_Society)<ref name=ams>[https://www.ams.org/notices/200011/from.pdf Honorary Members of the AMS]</ref>
| known_for         = [Hartman–Grobman theorem](/source/Hartman%E2%80%93Grobman_theorem), [Hartman–Watson distribution](/source/Hartman%E2%80%93Watson_distribution)
}}

'''Philip Hartman''' (May 16, 1915 &ndash; August 28, 2015) was an American mathematician at [Johns Hopkins University](/source/Johns_Hopkins_University) working on [differential equation](/source/differential_equation)s who introduced the [Hartman–Grobman theorem](/source/Hartman%E2%80%93Grobman_theorem). He served as Chairman of the Mathematics Department at Johns Hopkins for several years. He has an Erdös number of 2.<ref>{{Cite web|url=https://oakland.edu/enp/compute/|title=Compute your Erdös number - The Erdös Number Project- Oakland University|website=oakland.edu|language=en|access-date=2017-08-15}}</ref>

His book gives a necessary and sufficient condition for solutions of ordinary initial value problems to be unique and to depend on a class C<sup>1</sup> manner on the initial conditions for solutions.

He died in August 2015 at the age of 100.<ref>{{Cite arXiv |eprint = 1510.03779|last1 = Newhouse|first1 = Sheldon E.|title = On a differentiable linearization theorem of Philip Hartman|class = math.DS|year = 2015}}</ref>

The [Hartman–Watson distribution](/source/Hartman%E2%80%93Watson_distribution) is named after him and [Geoffrey S. Watson](/source/Geoffrey_S._Watson).
== Publications ==
*{{Citation | last1=Hartman | first1=Philip | title=Ordinary differential equations | orig-date=1964 | url=https://books.google.com/books?id=CENAPMUEpfoC | publisher=[Society for Industrial and Applied Mathematics](/source/Society_for_Industrial_and_Applied_Mathematics) | location=Philadelphia | series=Classics in Applied Mathematics | isbn=978-0-89871-510-1 |mr=1929104 | year=2002 | volume=38}}

== References ==
{{reflist}}

== External links ==
*{{MathGenealogy|id=11479}}

{{Authority control}}

{{DEFAULTSORT:Hartman, Philip}}
Category:1915 births
Category:2015 deaths
Category:Educators from Baltimore
Category:20th-century American mathematicians
Category:American men centenarians
Category:Johns Hopkins University alumni
Category:Johns Hopkins University faculty
Category:Dynamical systems theorists
Category:American mathematical analysts

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