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 Edwin Henry Spanier (August 8, 1921 – October 11, 1996) was an American mathematician at the University of California at Berkeley, working in algebraic topology. He co-invented Spanier–Whitehead duality and Alexander–Spanier cohomology, ...

and

Stephen Smale Stephen Smale (born July 15, 1930) is an American mathematician, known for his research in topology, dynamical systems and mathematical economics. He was awarded the Fields Medal in 1966 and spent more than three decades on the mathematics faculty ...

. 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 Mary Lou Zeeman is a British mathematician at Bowdoin College in the United States, where she is R. Wells Johnson Professor of Mathematics. She specializes in dynamical systems and their application to mathematical biology; she helped found the SIA ...

Selected works

*with

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'',

1974 *Differential Topology, Springer 1976, 1997 *with

Barry Mazur Barry Charles Mazur (; born December 19, 1937) is an American mathematician and the Gerhard Gade University Professor at Harvard University. His contributions to mathematics include his contributions to Wiles's proof of Fermat's Last Theorem in ...

Smoothings 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 Michael Ira Shub (born August 17, 1943) is an American mathematician who has done research into dynamical systems and the complexity of real number algorithms. Career 1967: Ph.D. and early career In 1967, Shub obtained his Ph.D. degree at the U ...

: Invariant Manifolds, Springer 1977

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 Hirsch
from

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* 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 {{US-mathematician-stub

Selected works

See also

References

External links