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Mechanics Day
Edited by: William F. Shadwick, Fields Institute of Mathematics, Waterloo, ON, Canada, Perinkulam Sambamurthy Krishnaprasad, University of Maryland, College Park, MD, and Tudor Stefan Ratiu, University of California, Santa Cruz, CA
A co-publication of the AMS and Fields Institute.
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Fields Institute Communications
1996; 260 pp; hardcover
Volume: 7
ISBN-10: 0-8218-0261-5
ISBN-13: 978-0-8218-0261-8
List Price: US$108
Member Price: US$86.40
Order Code: FIC/7
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This volume presents the proceedings of a workshop held at The Fields Institute in June 1992 both as a commemoration of the 25th anniversary of the publication of "Foundations of Mechanics" by Ralph Abraham and Jerrold Marsden and as a celebration of Marsden's 50th birthday. The publication of that first edition marked a period of remarkable resurgence in all aspects of mechanics, which has continued through the publication of the second edition in 1978, deeply nourished by contacts with a variety of areas of mathematics, including topology, differential geometry, Lie theory, and partial differential equations. The papers collected in this volume reflect these fruitful ties as well as some others, strengthened over the last two decades, with areas of applied science including control theory.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Readership

Research mathematicians and engineers.

Table of Contents

  • R. H. Abraham -- Experimental mechanics, the first forty years
  • A. Baider, R. C. Churchill, D. L. Rod, and M. F. Singer -- On the infinitesimal geometry of integrable systems
  • A. M. Bloch, H. Flaschka, and T. S. Ratiu -- The toda PDE and the geometry of the diffeomorphism group of the annulus
  • O. I. Bogoyavlenskij -- Separation of rotations of coupled gyrostats
  • A. E. Fischer -- A theory of cosmological models
  • J. P. Harnad and M. A. Wisse -- Loop algebra moment maps and Hamiltonian models for the Painleve transcendants
  • J. Langer and R. K. Perline -- The planar filament equation
  • J. Langer and R. K. Perline -- The localized induction equation, the Heisenberg chain, and the nonlinear Schrodinger equation
  • D. C. Robinson and W. F. Shadwick -- The Griffiths-Bryant algorithm and the Dirac theory of constraints
  • A. D. Weinstein -- Lagrangian mechanics and groupoids
  • R. Yang, P. S. Krishnaprasad, and W. P. Dayawansa -- Optimal control of a rigid body with two oscillators
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