Fields Institute Communications 1996; 260 pp; hardcover Volume: 7 ISBN10: 0821802615 ISBN13: 9780821802618 List Price: US$108 Member Price: US$86.40 Order Code: FIC/7
 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 copublished 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 GriffithsBryant 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
