Differential Equations: Their Solution Using Symmetries

Differential Equations: Their Solution Using Symmetries
ISBN-10
0521366895
ISBN-13
9780521366892
Series
Differential Equations
Category
Mathematics
Pages
278
Language
English
Published
1989
Publisher
Cambridge University Press
Author
Hans Stephani

Description

This book provides an introduction to the theory and application of the solution of differential equations using symmetries, a technique of great value in mathematics and the physical sciences. In many branches of physics, mathematics, and engineering, solving a problem means a set of ordinary or partial differential equations. Nearly all methods of constructing closed form solutions rely on symmetries. The theory and application of such methods have therefore attracted increasing attention in the last two decades. In this text the emphasis is on how to find and use the symmetries in different cases. Many examples are discussed, and the book includes more than 100 exercises. This book will form an introduction accessible to beginning graduate students in physics, applied mathematics, and engineering. Advanced graduate students and researchers in these disciplines will find the book an invaluable reference.

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