Geometric Approaches to Differential Equations

by Peter J. Vassiliou, Ian G. Lisle

Overview

Here is a concise and accessible exposition of a wide range of topics in geometric approaches to differential equations. The authors present an overview of this developing subject and introduce a number of related topics, including twistor theory, vortex filament dynamics, calculus of variations, exterior differential systems and Bäcklund transformations. The book is an ideal starting point for graduate students embarking on research.

Product Details

ISBN-13:	9780521775984
Publisher:	Cambridge University Press
Publication date:	03/13/2000
Series:	Australian Mathematical Society Lecture Series , #15
Edition description:	New Edition
Pages:	238
Product dimensions:	5.98(w) x 9.02(h) x 0.55(d)

Table of Contents

Preface; 1. Geometric approaches to differential equations: an introduction Peter J. Vassiliou; 2. Bäcklund 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.

Editorial Reviews

"There are several illuminating examples and some interesting history in these articles." SIAM Review

From the Publisher