Editors:
- Discusses various aspects of fluid mechanics in a geometric framework
- Represents the state-of-the-art of research in fields of geometric mechanics
- Contains discussions and applications of variational integrators for precise numerical integration of various dynamics
Part of the book series: Fields Institute Communications (FIC, volume 73)
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Table of contents (20 chapters)
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Front Matter
About this book
This book illustrates the broad range of Jerry Marsden’s mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from the viewpoint of geometric mechanics beginning at the very foundations, introducing readers to modern issues via illustrations in a wide range of topics. The twenty refereed papers contained in this volume are based on lectures and research performed during the month of July 2012 at the Fields Institute for Research in Mathematical Sciences, in a program in honor of Marsden's legacy.
The unified treatment of the wide breadth of topics treated in this book will be of interest to both experts and novices in geometric mechanics. Experts will recognize applications of their own familiar concepts and methods in a wide variety of fields, some of which they may never have approached from a geometric viewpoint. Novices may choose topics that interest them among the various fields and learn about geometric approaches and perspectives toward those topics that will be new for them as well.
Editors and Affiliations
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Department of Applied Mathematics, University of Waterloo, Waterloo, Canada
Dong Eui Chang
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Department of Mathematics, Imperial College London, London, United Kingdom
Darryl D. Holm
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Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, Canada
George Patrick
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Section de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
Tudor Ratiu
Bibliographic Information
Book Title: Geometry, Mechanics, and Dynamics
Book Subtitle: The Legacy of Jerry Marsden
Editors: Dong Eui Chang, Darryl D. Holm, George Patrick, Tudor Ratiu
Series Title: Fields Institute Communications
DOI: https://doi.org/10.1007/978-1-4939-2441-7
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2015
Hardcover ISBN: 978-1-4939-2440-0Published: 17 April 2015
Softcover ISBN: 978-1-4939-5606-7Published: 05 October 2016
eBook ISBN: 978-1-4939-2441-7Published: 16 April 2015
Series ISSN: 1069-5265
Series E-ISSN: 2194-1564
Edition Number: 1
Number of Pages: VIII, 506
Number of Illustrations: 49 b/w illustrations, 25 illustrations in colour
Topics: Dynamical Systems and Ergodic Theory, Differential Geometry, Math Applications in Computer Science, Mathematical Applications in Computer Science