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9780521775984

Geometric Approaches to Differential Equations

by
  • ISBN13:

    9780521775984

  • ISBN10:

    0521775981

  • Format: Paperback
  • Copyright: 2000-03-13
  • Publisher: Cambridge University Press

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Summary

This book provides a concise and accessible exposition of a wide range of topics in geometric approaches to differential equations. The aim of the book is to present an overview of this developing subject and a brief introduction to a number of related topics, including twistor theory, vortex filament dynamics, calculus of variations, exterior differential systems and Bäcklund transformations. Written by leading experts, this book is an ideal starting point for graduate students embarking on research. It will also be of use to researchers and anybody wishing to learn more about this burgeoning field of mathematical endeavour.

Table of Contents

Preface
1. Geometric approaches to differential equations: an introduction Peter J. Vassiliou
2. Bä
cklund and his works: applications in soliton theory Colin Rogers, Wolfgang K. Schief and Mark E. Johnston
3. Recent developments in integrable curve dynamics Annalisa Calini
4. An elementary introduction to exterior differential systems Niky Kamran
5. Cartan structure of infinite Lie pseudogroups Ian G. Lisle and Gregory J. Reid
6. Cartan's method of equivalence David Hartley
7. The inverse problem in the calculus of variations and its ramifications Geoff E. Prince
8. Twistor theory Michael K. Murray.

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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