| eBook ISBN: | 978-1-4704-2975-1 |
| Product Code: | FIC/7.E |
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| AMS Member Price: | $96.00 |
| eBook ISBN: | 978-1-4704-2975-1 |
| Product Code: | FIC/7.E |
| List Price: | $120.00 |
| MAA Member Price: | $108.00 |
| AMS Member Price: | $96.00 |
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Book DetailsFields Institute CommunicationsVolume: 7; 1996; 260 ppMSC: Primary 70
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).
ReadershipResearch mathematicians and engineers.
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Table of Contents
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Chapters
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Ralph Abraham — Experimental mechanics, the first forty years
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Alberto Baider, Richard Churchill, David Rod and Michael Singer — On the infinitesimal geometry of integrable systems
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Anthony Bloch, Hermann Flaschka and Tudor Ratiu — The toda PDE and the geometry of the diffeomorphism group of the annulus
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O. Bogoyavlenskij — Separation of rotations of coupled gyrostats
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Arthur Fischer — A theory of cosmological models
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John Harnad and M. Wisse — Loop algebra moment maps and Hamiltonian models for the Painleve transcendants
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Joel Langer and Ronald Perline — The planar filament equation
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Joel Langer and Ronald Perline — The localized induction equation, the Heisenberg chain, and the nonlinear Schrodinger equation
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David Robinson and William Shadwick — The Griffiths-Bryant algorithm and the Dirac theory of constraints
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Alan Weinstein — Lagrangian mechanics and groupoids
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R Yang, P Krishnaprasad and Wijesuriya Dayawansa — Optimal control of a rigid body with two oscillators
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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).
Research mathematicians and engineers.
-
Chapters
-
Ralph Abraham — Experimental mechanics, the first forty years
-
Alberto Baider, Richard Churchill, David Rod and Michael Singer — On the infinitesimal geometry of integrable systems
-
Anthony Bloch, Hermann Flaschka and Tudor Ratiu — The toda PDE and the geometry of the diffeomorphism group of the annulus
-
O. Bogoyavlenskij — Separation of rotations of coupled gyrostats
-
Arthur Fischer — A theory of cosmological models
-
John Harnad and M. Wisse — Loop algebra moment maps and Hamiltonian models for the Painleve transcendants
-
Joel Langer and Ronald Perline — The planar filament equation
-
Joel Langer and Ronald Perline — The localized induction equation, the Heisenberg chain, and the nonlinear Schrodinger equation
-
David Robinson and William Shadwick — The Griffiths-Bryant algorithm and the Dirac theory of constraints
-
Alan Weinstein — Lagrangian mechanics and groupoids
-
R Yang, P Krishnaprasad and Wijesuriya Dayawansa — Optimal control of a rigid body with two oscillators
