Geometric Approaches to Differential Equations

$65.99 (C)

Part of Australian Mathematical Society Lecture Series

Editors:
Peter J. Vassiliou, University of Canberra
Ian G. Lisle, University of Canberra

Peter J. Vassiliou, Colin Rogers, Wolfgang K. Schief, Mark E. Johnston, Annalisa Calini, Niky Kamran, Ian G. Lisle, Gregory J. Reid, David Hartley, Geoff E. Prince, Michael K. Murray

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Date Published: March 2000
availability: Available
format: Paperback
isbn: 9780521775984

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Description

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.
- Written by experts in the field
- Concise, clear expositions of topics of current interest
- Makes the research literature accessible to graduate students and researchers in related fields
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Reviews & endorsements
"There are several illuminating examples and some interesting history in these articles." SIAM Review

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Product details
- Date Published: March 2000
- format: Paperback
- isbn: 9780521775984
- length: 238 pages
- dimensions: 229 x 152 x 14 mm
- weight: 0.36kg
- contains: 22 b/w illus. 2 tables
- availability: Available
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.
Look Inside
Editors
Peter J. Vassiliou, University of Canberra
Ian G. Lisle, University of Canberra
Contributors
Peter J. Vassiliou, Colin Rogers, Wolfgang K. Schief, Mark E. Johnston, Annalisa Calini, Niky Kamran, Ian G. Lisle, Gregory J. Reid, David Hartley, Geoff E. Prince, Michael K. Murray