Jerrold Marsden
Jerrold Eldon Marsden (born August 17, 1942 in Ocean Falls , British Columbia , † September 21, 2010 in Pasadena , California ) was a Canadian mathematician who dealt with differential geometry , geometric mechanics and symplectic geometry, among other things .
Live and act
Marsden studied mathematics at the University of Toronto and Princeton University , where he received his doctorate in 1968 with Arthur Wightman ( Hamiltonian One Parameter Groups and Generalized Hamiltonian Mechanics ). He was then a professor at the University of California, Berkeley . From 1995 he was a professor in the Control and Dynamical Systems Department at Caltech . He was visiting professor in Edinburgh , Hamburg , Munich , Paris , Toronto and at Cornell University, among others . He is one of the founders of the Fields Institute in Toronto, named after John Charles Fields (1991).
Marsden founded the (symplectic) reduction theory of mechanical systems with symmetry with Alan Weinstein . He worked in the most diverse areas of application of mechanics (mechanics of rigid bodies, plasma physics, hydrodynamics, elasticity theory, celestial mechanics and space travel), in particular control theory.
In 1990 Marsden received the Norbert Wiener Prize . In 1997 he was elected to the American Academy of Arts and Sciences . In 2000 he received the Max Planck Research Prize and in 2005 the von Neumann Prize of the SIAM . Since 2006 he has been a Fellow of the Royal Society in London. In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( On the motion of incompressible fluids with DG Ebin).
Fonts
- with Arthur Wightman : Lectures on Statistical Mechanics. Princeton 1967.
- Lectures on Mechanics. Cambridge University Press 1992.
- with Ralph Abraham : Foundations of Mechanics. 2nd edition, AMS 2008.
- with Thomas JR Hughes : Foundations of Elasticity. Prentice-Hall 1983, Dover 1994.
- with Ralph Abraham, Tudor Ratiu : Manifolds, Tensor Analysis and Applications. Springer 1988.
- with Ratiu: Mechanics and Symmetry. Springer 1994, 2nd edition 2000.
- with Ratiu, Cendrea: Geometric Mechanics, Lagrangian Reduction and Nonholonomic Systems. In: Engquist, W.Schmid (Ed.): Mathematics Unlimited - 2001 and Beyond. Springer 2000.
- with Alexandre Chorin : A mathematical introduction to fluid mechanics. Springer 1993.
- with Wang Sang Koon, Martin W. Loo, Shane D. Ross: Dynamical systems, the three body problem and space mission design.
- Lectures on geometric methods in mathematical physics. SIAM 1981.
- Applications of global analysis to mathematical physics. Publish or Perish 1974.
- with Paul Chernoff : Properties of infinite dimensional Hamiltonian systems , Springer 1974
- with Marjorie McCracken: The Hopf Bifurcation and its applications. Springer 1976.
- with Misiolek, Ortega, Matthew Perlmutter, Ratiu: Hamiltonian Reduction by Stages. Springer 2007.
- with Alan Weinstein, Anthony Tromba : Basic multivariable calculus. Freeman, 1983, 1993, Springer 1992.
- with tartar: Calculus 1,2,3. 2nd edition, Springer 1985.
- with Weinstein: Calculus Unlimited. Benjamin-Cummings 1981.
- with Anthony Tromba: Vector Calculus. Freeman 1976, 5th edition 2003.
- with Michael Hoffman: Elementary classical analysis. Freeman 1974, 1993.
- with Hoffman: Basic complex analysis. Freeman 1998.
Web links
- Website at Caltech, with some of his books online
- Tudor Ratiu, Alan Weinstein Remembering Jerry Marsden , Notices AMS, June / July 2012
- Entry for Marsden, Jerrold Eldon in the Archives of the Royal Society , London
Footnotes
- ^ Marsden, Weinstein: Reduction of symplectic manifolds with symmetry , Reports Math. Phys. Vol. 5, 1974, pp. 121-130
| personal data | |
|---|---|
| SURNAME | Marsden, Jerrold |
| ALTERNATIVE NAMES | Marsden, Jerrold E. |
| BRIEF DESCRIPTION | Canadian mathematician and university professor |
| DATE OF BIRTH | August 17, 1942 |
| PLACE OF BIRTH | Ocean Falls , British Columbia |
| DATE OF DEATH | September 21, 2010 |
| Place of death | Pasadena , California |