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Geometric Approaches to Differential Equations

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Geometric Approaches to Differential Equations

Geometric Approaches to Differential Equations

Peter J. Vassiliou, University of Canberra
Ian G. Lisle, University of Canberra
March 2000
Available
Paperback
9780521775984
£50.99
GBP
Paperback
    Description

    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.

    • 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

    Reviews & endorsements

    'It is a pleasure to report on this outstanding collection of articles … a coherent set of expository lecture notes prepared by leading experts in the geometric aspects of differential equations.' Australian Mathematical Society Gazette

    See more reviews

    Product details

    March 2000
    Paperback
    9780521775984
    238 pages
    229 × 152 × 14 mm
    0.36kg
    22 b/w illus. 2 tables
    Available

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    Contents

    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.
      • Show more

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    About the authors
      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

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

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