Geometry, Mechanics, and Dynamics

  • Paul Newton
  • Philip Holmes
  • Alan Weinstein

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Elasticity and Analysis

    1. Front Matter
      Pages 1-1
    2. John M. Ball
      Pages 3-59
    3. A. Lew, M. Ortiz
      Pages 91-110
  3. Fluid Mechanics

    1. Front Matter
      Pages 111-111
    2. Edgar Knobloch, José M. Vega
      Pages 181-222
  4. Dynamical Systems

    1. Front Matter
      Pages 241-241
    2. Martin Golubitsky, Ian Stewart
      Pages 243-286
    3. Alain Chenciner, Joseph Gerver, Richard Montgomery, Carles Simó
      Pages 287-308
    4. Jürgen Scheurle, Sebastian Walcher
      Pages 309-325
  5. Geometric Mechanics

    1. Front Matter
      Pages 327-327
    2. Juan-Pablo Ortega, Tudor S. Ratiu
      Pages 329-362
    3. Victor Guillemin, Catalin Zara
      Pages 363-405
    4. Robert G. Littlejohn, Kevin A. Mitchell
      Pages 407-428
  6. Geometric Control

    1. Front Matter
      Pages 429-429
    2. Anthony M. Bloch, Naomi Ehrich Leonard
      Pages 431-460

About this book

Introduction

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.

Keywords

Gauge theory fluid mechanics mechanics oscillation plasticity vibration

Editors and affiliations

  • Paul Newton
    • 1
    • 2
  • Philip Holmes
    • 3
  • Alan Weinstein
    • 4
  1. 1.Department of Aerospace and Mechanical EngineeringUniversity of Southern CaliforniaLos AngelesUSA
  2. 2.Department of MathematicsUniversity of Southern CaliforniaLos AngelesUSA
  3. 3.Department of Applied and Computational Mathematics Engineering QuadranglePrinceton UniversityPrincetonUSA
  4. 4.Department of MathematicsUniversity of California, BerkeleyBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/b97525
  • Copyright Information Springer-Verlag New York, Inc. 2002
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-95518-6
  • Online ISBN 978-0-387-21791-8
  • About this book