Overview
- Editors:
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Paul Newton
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Department of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, USA
Department of Mathematics, University of Southern California, Los Angeles, USA
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Philip Holmes
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Department of Applied and Computational Mathematics Engineering Quadrangle, Princeton University, Princeton, USA
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Alan Weinstein
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Department of Mathematics, University of California, Berkeley, Berkeley, USA
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Table of contents (16 chapters)
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Front Matter
Pages i-xvii
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Fluid Mechanics
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Front Matter
Pages 111-111
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- Edgar Knobloch, José M. Vega
Pages 181-222
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- Thomas J. R. Hughes, Assad A. Oberai
Pages 223-239
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Dynamical Systems
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Front Matter
Pages 241-241
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- Martin Golubitsky, Ian Stewart
Pages 243-286
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- Alain Chenciner, Joseph Gerver, Richard Montgomery, Carles Simó
Pages 287-308
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- Jürgen Scheurle, Sebastian Walcher
Pages 309-325
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Geometric Mechanics
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Front Matter
Pages 327-327
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- Juan-Pablo Ortega, Tudor S. Ratiu
Pages 329-362
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- Victor Guillemin, Catalin Zara
Pages 363-405
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- Robert G. Littlejohn, Kevin A. Mitchell
Pages 407-428
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Geometric Control
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Front Matter
Pages 429-429
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- Anthony M. Bloch, Naomi Ehrich Leonard
Pages 431-460
About this book
Jerry Marsden, one of the world’s pre-eminent mechanicians and applied mathematicians, celebrated his 60th birthday in August 2002. The event was marked by a workshop on “Geometry, Mechanics, and Dynamics”at the Fields Institute for Research in the Mathematical Sciences, of which he wasthefoundingDirector. Ratherthanmerelyproduceaconventionalp- ceedings, with relatively brief accounts of research and technical advances presented at the meeting, we wished to acknowledge Jerry’s in?uence as a teacher, a propagator of new ideas, and a mentor of young talent. Con- quently, starting in 1999, we sought to collect articles that might be used as entry points by students interested in ?elds that have been shaped by Jerry’s work. At the same time we hoped to give experts engrossed in their own technical niches an indication of the wonderful breadth and depth of their subjects as a whole. This book is an outcome of the e?orts of those who accepted our in- tations to contribute. It presents both survey and research articles in the several ?elds that represent the main themes of Jerry’s work, including elasticity and analysis, ?uid mechanics, dynamical systems theory, g- metric mechanics, geometric control theory, and relativity and quantum mechanics. The common thread running through this broad tapestry is the use of geometric methods that serve to unify diverse disciplines and bring a widevarietyofscientistsandmathematicianstogether,speakingalanguage which enhances dialogue and encourages cross-fertilization.
Reviews
From the reviews:
"Geometric Mechanics (GM) is a basic way of thinking … . most of the papers are very accessible with long introductions and good surveys of other contributions. … Finally, the volume is typeset so beautifully in a unified format, that it is satisfying to hold the book and pleasing to look at the articles, as well as to read them. … The volume is worth serious study, and it was well worth the long wait … ." (Darryl Holm, UK Nonlinear News, March, 2003)
Editors and Affiliations
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Department of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, USA
Paul Newton
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Department of Mathematics, University of Southern California, Los Angeles, USA
Paul Newton
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Department of Applied and Computational Mathematics Engineering Quadrangle, Princeton University, Princeton, USA
Philip Holmes
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Department of Mathematics, University of California, Berkeley, Berkeley, USA
Alan Weinstein
