Morris Hirsch

Morris William Hirsch (born June 28, 1933) is an American mathematician, formerly at the University of California, Berkeley.

Morris Hirsch
Morris W. Hirsch, Berkeley 1986 (age 53)
Born	(1933-06-28) June 28, 1933 (age 92) Chicago, Illinois, U.S.
Nationality	American
Alma mater	University of Chicago
Scientific career
Fields	Mathematics
Institutions	University of California, Berkeley
Doctoral advisors	Edwin Spanier Stephen Smale
Doctoral students	William Goldman William Thurston Mary Lou Zeeman

A native of Chicago, Illinois, Hirsch attained his doctorate from the University of Chicago in 1958, under supervision of Edwin Spanier and Stephen Smale.^[1] His thesis was entitled Immersions of Manifolds. In 2012, he became a fellow of the American Mathematical Society.^[2]

Hirsch had 23 doctoral students, including William Thurston, William Goldman, and Mary Lou Zeeman.

Selected works

• with Stephen Smale and Robert L. Devaney: Differential equations, dynamical systems and an introduction to chaos, Academic Press 2004 (2nd edition)^[3] 3rd edition, 2013
• with Stephen Smale: Differential equations, dynamical systems and linear algebra, Academic Press 1974
• Differential Topology, Springer 1976,^[4] 1997
• with Barry Mazur: Smoothings of piecewise linear manifolds, Princeton University Press 1974
• with Charles C. Pugh, Michael Shub: Invariant Manifolds, Springer 1977

See also

• Brouwer fixed-point theorem
• Chern's conjecture (affine geometry)
• Differential structure
• Homotopy principle
• Immersion (mathematics)
• 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