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Geometry, Mechanics, and Dynamics

The Legacy of Jerry Marsden

  • Book
  • © 2015

Overview

  • 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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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.

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Keywords

Table of contents (20 chapters)

Editors and Affiliations

  • Department of Applied Mathematics, University of Waterloo, Waterloo, Canada

    Dong Eui Chang

  • Department of Mathematics, Imperial College London, London, United Kingdom

    Darryl D. Holm

  • Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, Canada

    George Patrick

  • Section de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Tudor Ratiu

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