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, structure, space, models, and change.
History
On ...
, formerly at the
University of California, Berkeley
The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant u ...
.
A native of
Chicago, Illinois
(''City in a Garden''); I Will
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, Hirsch attained his
doctorate
A doctorate (from Latin ''docere'', "to teach"), doctor's degree (from Latin ''doctor'', "teacher"), or doctoral degree is an academic degree awarded by universities and some other educational institutions, derived from the ancient formalism ''li ...
from the
University of Chicago
The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private university, private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park, Chicago, Hyde Park neighborhood. The University of 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.
Thursto ...
,
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. He won Academy Awards for his screenplays '' ...
, and
Mary Lou Zeeman
Mary Lou Zeeman is a British mathematician at Bowdoin College in the US, where she is R. Wells Johnson Professor of Mathematics. She specializes in dynamical systems and their application to mathematical biology; she helped found the SIAM Activity ...
.
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 was acquired by Harcourt, Brace & World in 1969. Reed Elsevier bought Harcourt in 2000, and Academic Press is now an imprint of Elsevier.
Academic Press publishes referen ...
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 was acquired by Harcourt, Brace & World in 1969. Reed Elsevier bought Harcourt in 2000, and Academic Press is now an imprint of Elsevier.
Academic Press publishes referen ...
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 financia ...
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 L. E. J. (Bertus) Brouwer. It states that for any continuous function f mapping a compact convex set to itself there is a point x_0 such that f(x_0)=x_0. The simples ...
*
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 dif ...
*
Homotopy principle
*
Immersion (mathematics)
*
Whitney embedding theorem
In mathematics, particularly in differential topology, there are two Whitney embedding theorems, named after Hassler Whitney:
*The strong Whitney embedding theorem states that any smooth real -dimensional manifold (required also to be Hausdorff ...
References
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 scholarly literature across an array of publishing formats and disciplines. Released in beta in November 2004, the Google Scholar index includes ...
*
1933 births
Living people
People 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
Mathematicians from Illinois
Topologists
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