Geometric Approaches to Differential Equations

Häftad, Engelska, 2000

Del 15 i serien Australian Mathematical Society Lecture Series

758 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2000-03-13
Mått:152 x 229 x 14 mm
Vikt:360 g
Format:Häftad
Språk:Engelska
Serie:Australian Mathematical Society Lecture Series
Antal sidor:238
Förlag:Cambridge University Press
ISBN:9780521775984

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

'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

Innehållsförteckning

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.