Jerrold E. Marsden Explained

Jerrold E. Marsden
Birth Date:	17 August 1942
Birth Place:	Ocean Falls, British Columbia, Canada
Death Place:	Pasadena, California, United States
Nationality:	Canadian
Field:	Mathematics Classical mechanics
Work Institution:	University of California, Berkeley California Institute of Technology
Alma Mater:	University of Toronto Princeton University
Doctoral Advisor:	Arthur Wightman
Doctoral Students:	Graciela Chichilnisky Tudor Ratiu
Known For:	Classical mechanics
Children:	Alison Marsden Christopher Marsden

Jerrold Eldon Marsden (August 17, 1942 – September 21, 2010) was a Canadian mathematician. He was the Carl F. Braun Professor of Engineering and Control & Dynamical Systems at the California Institute of Technology.^[1] Marsden is listed as an ISI highly cited researcher.^[2]

Career

Marsden earned his B.Sc. in mathematics at the University of Toronto and his Ph.D. in mathematical physics at Princeton University in 1968 under Arthur S. Wightman. Thereafter, he worked at various universities and research institutes in the US, Canada, the United Kingdom, France and Germany. He was one of the founders of the Fields Institute in Toronto, Canada, and directed it until 1994. At the California Institute of Technology he was the Carl F. Braun Professor of Engineering and Control & Dynamical Systems.^[1]

Marsden, together with Alan Weinstein, was one of the world leading authorities in mathematical and theoretical classical mechanics. He has laid much of the foundation for symplectic topology. The Marsden-Weinstein quotient is named after him.

In 1973, Marsden (along with Arthur E. Fischer) won the Gravitational Research Foundation Prize. He was also the recipient of a Carnegie Fellowship in 1977, and a Miller Professorship in 1981-82. Also in 1981, Marsden won the Jeffery–Williams Prize. And in 1990, he received the Norbert Wiener Prize in Applied Mathematics, jointly awarded by the Society for Industrial and Applied Mathematics (SIAM) and the American Mathematical Society. Marsden was honoured "for his outstanding contributions to the study of differential equations in mechanics: he proved the existence of chaos in specific classical differential equations; his work on the momentum map, from abstract foundations to detailed applications, has had great impact."^[3] He was also awarded the Max Planck Research Award for Mathematics and Computer science in 2000.^[4] In 2005, he won the prestigious John von Neumann Lecture,^[5] which is awarded by SIAM to recognize outstanding contributions to the field of applied mathematical sciences and for their effective communication to the community. In 2006 he was elected Fellow of the Royal Society.^[6] In the same year, he also received an honorary doctorate from the University of Surrey.^[7]

Marsden died of cancer on September 21, 2010. In 2006 a festschrift was published in honor of Marsden's 60th birthday.^[8] In 2015 a memorial volume was published in his honor.^[9]

Books

• Jerrold E. Marsden and Alan Weinstein, Calculus Unlimited, Benjamin-Cummings (1981).^[10]
• J. E. Marsden and A. Weinstein, Calculus, I, II, III, 2nd ed., Springer-Verlag (1985).^{[11] [12] [13]}
• J. E. Marsden, A. Tromba, and A. Weinstein, Basic Multivariable Calculus, Springer-Verlag (1992).
• J. E. Marsden and A. Tromba, Vector Calculus, 5th ed., W. H. Freeman (2003).
• J. E. Marsden and M. Hoffman, Elementary Classical Analysis, 2nd ed., W. H. Freeman (1993)
• J. E. Marsden and M. Hoffman, Basic Complex Analysis, 3rd ed., W. H. Freeman (1998).
• Alexandre Chorin and Jerrold E. Marsden, A Mathematical Introduction to Fluid Mechanics, 3rd ed., Springer-Verlag (1993).
• J. E. Marsden, Applications of Global Analysis in Mathematical Physics, Mathematics Lecture Series, No. 2, Publish or Perish, Inc (1974).^[14]
• Jerrold E. Marsden and Thomas J.R. Hughes, A Short Course in Fluid Mechanics, Mathematics Lecture Series, No. 6, Publish or Perish, Inc (1976).
• J. E. Marsden and M. McCracken, The Hopf Bifurcation and Its Applications, Applied Mathematical Sciences, 19 Springer-Verlag (1976).^{[15] [16]}
• Ralph Abraham and Jerrold E. Marsden, Foundations of Mechanics, The Mathematical Physics Monograph Series, 1st ed., W.A. Benjamin, Inc (1966).
• Ralph Abraham and Jerrold E. Marsden, Foundations of Mechanics, 2nd ed., Addison–Wesley (1987).^[17]
• Ralph Abraham, Jerrold E. Marsden, and Tudor S. Ratiu, Manifolds, Tensor Analysis, and Applications, Springer-Verlag (1988).
• J. E. Marsden, Lectures on Mechanics, Cambridge University Press (1992). 1st edition, 1989.^{[18] [19]}
• Jerrold E. Marsden and Thomas J.R. Hughes, Mathematical Foundations of Elasticity, Prentice Hall (1983); Reprinted by Dover Publications (1994).^[20]
• J. E. Marsden and T. S. Ratiu, Introduction to Mechanics and Symmetry, Texts in Applied Mathematics, vol. 17, Springer-Verlag (1994).^[21]
• J. E. Marsden, G. Misiolek, J.-P. Ortega, M. Perlmutter, and T. S. Ratiu, Hamiltonian Reduction by Stages, Springer-Verlag (2007).

References

physicists

External links

• • J E. Marsden's webpage
• Laudation Max Planck Research Award

Notes and References

1. Jerrold Marsden: Mathematician at Caltech. Los Angeles Times. October 13, 2010. AA6.
2. Web site: Thomson ISI . Marsden, Jerrold E., ISI Highly Cited Researchers . 2009-06-20 .
3. Web site: Norbert Wiener Prize in Applied Mathematics. American Mathematical Society. 2009-11-02.
4. Max Planck Society: Award winners 2000. URL last accessed 2007-08-24.
5. The John von Neumann Lecture, Society for Industrial and Applied Mathematics http://www.siam.org/prizes/sponsored/vonneumann.php
6. Royal Society: http://royalsociety.org/about-us/fellowship/fellows/. URL last accessed 2010-10-02.
7. University of Surrey: Doctor of the University . URL last accessed 2008-10-17.
8. Book: Newton, Paul. Holmes, Philip. Weinstein, Alan. Geometry, Mechanics, and Dynamics: Volume in Honor of the 60th Birthday of J. E. Marsden. 9780387217918. 11 May 2006. Springer.
9. Book: Chang, Dong Eui. Holm, Darryl D.. Patrick, George. Ratiu, Tudor. Geometry, Mechanics, and Dynamics: The Legacy of Jerry Marsden. 16 April 2015. Springer. 978-1-4939-2441-7.
10. Book: Marsden. Jerrold. Weinstein. Alan J.. Calculus Unlimited. 1981.
11. Book: Marsden. Jerrold E.. Weinstein. Alan J.. Calculus I. 1985.
12. Book: Marsden. Jerrold E.. Weinstein. Alan J.. Calculus II. 1985.
13. Book: Marsden. Jerrold E.. Weinstein. Alan J.. Calculus III. 1985.
14. Book: Marsden, Jerrold E.. Applications of Global Analysis in Mathematical Physics. 1974.
15. Book: Marsden. J. E.. McCracken. M.. The Hopf Bifurcation and Its Applications. 1976.
16. Kazarinoff, N. D.. N. D. Kazarinoff. September 1977. Review of The Hopf bifurcation and its applications by J. E. Marsden and M. McCracken. Bulletin of the American Mathematical Society. 83. 5. 998–1004.
17. Book: Abraham. Ralph. Marsden. Jerrold E.. Foundations of Mechanics, Second Edition. 1987.
18. Book: Marsden, Jerrold E.. Lectures on Mechanics. 1992.
19. Atiyah, Michael. Michael Atiyah. Review: Lectures on mechanics by Jerrold Marsden. Bull. Amer. Math. Soc. (N.S.). 1994. 30. 2. 234–237. 10.1090/s0273-0979-1994-00470-7. 12774289. free.
20. Book: Marsden. Jerrold. Hughes. Thomas J. R.. Mathematical Foundations of Elasticity. 1983.
21. Ashbaugh, Mark S.. Review of Introduction to mechanics and symmetry: A basic exposition of classical mechanical systems by Jerrold Marsden and Tudor S. Ratiu. Bull. Amer. Math. Soc. (N.S.). 1996. 33. 3. 351–353. 10.1090/s0273-0979-96-00671-4. free.