Morris William Hirsch (born June 28, 1933) is an American
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
, formerly at the
University of California, Berkeley
The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California), is a Public university, public Land-grant university, land-grant research university in Berkeley, California, United States. Founded in 1868 and named after t ...
.
A native of
Chicago, Illinois
Chicago is the List of municipalities in Illinois, most populous city in the U.S. state of Illinois and in the Midwestern United States. With a population of 2,746,388, as of the 2020 United States census, 2020 census, it is the List of Unite ...
, Hirsch attained his
doctorate
A doctorate (from Latin ''doctor'', meaning "teacher") or doctoral degree is a postgraduate academic degree awarded by universities and some other educational institutions, derived from the ancient formalism '' licentia docendi'' ("licence to teach ...
from the
University of Chicago
The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, Chic ...
in 1958, under supervision of
Edwin Spanier and
Stephen Smale. His thesis was entitled ''Immersions of Manifolds''. In 2012, he became a fellow of the
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
.
Hirsch had 23 doctoral students, including
William Thurston
William Paul Thurston (October 30, 1946August 21, 2012) was an American mathematician. He was a pioneer in the field of low-dimensional topology and was awarded the Fields Medal in 1982 for his contributions to the study of 3-manifolds.
Thurst ...
,
William Goldman
William Goldman (August 12, 1931 – November 16, 2018) was an American novelist, playwright, and screenwriter. He first came to prominence in the 1950s as a novelist before turning to screenwriting. Among other accolades, Goldman won two Aca ...
, and
Mary Lou Zeeman.
Selected works
*with
Stephen Smale and
Robert L. Devaney: ''Differential equations, dynamical systems and an introduction to chaos'',
Academic Press
Academic Press (AP) is an academic book publisher founded in 1941. It launched a British division in the 1950s. Academic Press was acquired by Harcourt, Brace & World in 1969. Reed Elsevier said in 2000 it would buy Harcourt, a deal complete ...
2004 (2nd edition
3rd edition, 2013*with Stephen Smale: ''Differential equations, dynamical systems and linear algebra'',
Academic Press
Academic Press (AP) is an academic book publisher founded in 1941. It launched a British division in the 1950s. Academic Press was acquired by Harcourt, Brace & World in 1969. Reed Elsevier said in 2000 it would buy Harcourt, a deal complete ...
1974
*Differential Topology, Springer 1976,
1997
*with
Barry MazurSmoothings of piecewise linear manifolds Princeton University Press
Princeton University Press is an independent publisher with close connections to Princeton University. Its mission is to disseminate scholarship within academia and society at large.
The press was founded by Whitney Darrow, with the financial ...
1974
*with
Charles C. Pugh,
Michael Shub: Invariant Manifolds, Springer 1977
See also
*
Brouwer fixed-point theorem
Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after Luitzen Egbertus Jan Brouwer, L. E. J. (Bertus) Brouwer. It states that for any continuous function f mapping a nonempty compactness, compact convex set to itself, the ...
*
Chern's conjecture (affine geometry)
*
Differential structure
In mathematics, an ''n''- dimensional differential structure (or differentiable structure) on a set ''M'' makes ''M'' into an ''n''-dimensional differential manifold, which is a topological manifold with some additional structure that allows for ...
*
Homotopy principle
*
Immersion (mathematics)
In mathematics, an immersion is a differentiable function between differentiable manifolds whose differential pushforward is everywhere injective. Explicitly, is an immersion if
:D_pf : T_p M \to T_N\,
is an injective function at every point ...
*
Whitney embedding theorem
*
Cr section theorem - a mathematical result related to invariant manifolds. It was published by Morris W. Hirsch, Charles C. Pugh, and Michael Shub in 1971. The theorem is used in the study of dynamical systems and differential equations
References
5. https://en.m.wikipedia.org/wiki/Normally_hyperbolic_invariant_manifold
External links
Website at the University of California, Berkeley*
search on author Morris Hirschfrom
Google Scholar
Google Scholar is a freely accessible web search engine that indexes the full text or metadata of Academic publishing, scholarly literature across an array of publishing formats and disciplines. Released in Beta release, beta in November 2004, th ...
*
1933 births
Living people
Mathematicians from Chicago
20th-century American mathematicians
21st-century American mathematicians
University of Chicago alumni
University of California, Berkeley College of Letters and Science faculty
Fellows of the American Mathematical Society
American topologists
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