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Geometry, Mechanics, and Dynamics

The Legacy of Jerry Marsden

  • Dong Eui Chang
  • Darryl D. Holm
  • George Patrick
  • Tudor Ratiu

Part of the Fields Institute Communications book series (FIC, volume 73)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Henrique Bursztyn, Alejandro Cabrera, David Iglesias
    Pages 57-73
  3. Gabriela Depetri, Alberto Saa
    Pages 93-98
  4. François Gay-Balmaz, Cornelia Vizman
    Pages 107-135
  5. Leonardo Colombo, Henry O. Jacobs
    Pages 167-184
  6. Stefanella Boatto, Jair Koiller
    Pages 185-237
  7. Christian Lessig, Alex L. Castro
    Pages 239-255
  8. Juan C. Marrero, David Martín de Diego, Eduardo Martínez
    Pages 285-317
  9. Richard Montgomery, Corey Shanbrom
    Pages 319-342
  10. Tanya Schmah, Laurent Risser, François-Xavier Vialard
    Pages 373-392
  11. Larry Bates, Jędrzej Śniatycki
    Pages 427-436
  12. Ari Stern, Yiying Tong, Mathieu Desbrun, Jerrold E. Marsden
    Pages 437-475
  13. Kenneth R. Ball, Dmitry V. Zenkov
    Pages 477-506

About this book

Introduction

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.

Keywords

diffeomorphic image matching electrodynamics geometric mechanics multisymplectic geometry non-compact Lie groups optimal control

Editors and affiliations

  • Dong Eui Chang
    • 1
  • Darryl D. Holm
    • 2
  • George Patrick
    • 3
  • Tudor Ratiu
    • 4
  1. 1.Department of Applied MathematicsUniversity of WaterlooWaterlooCanada
  2. 2.Department of MathematicsImperial College LondonLondonUnited Kingdom
  3. 3.Department of Mathematics and StatisticsUniversity of SaskatchewanSaskatoonCanada
  4. 4.Section de MathématiquesEcole Polytechnique Fédérale de LausanneLausanneSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4939-2441-7
  • Copyright Information Springer Science+Business Media New York 2015
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4939-2440-0
  • Online ISBN 978-1-4939-2441-7
  • Series Print ISSN 1069-5265
  • Series Online ISSN 2194-1564
  • Buy this book on publisher's site
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