Differential Equations: Their Solution Using Symmetries

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Cambridge University Press, 1989 - Mathematics - 260 pages
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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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Contents

II
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III
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IV
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V
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VII
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VIII
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About the author (1989)

Hans Stephani gained his diploma, Ph.D. and Habilitation at the Friedrich-Schiller-Universitat Jena. He became Professor of Theoretical Physics in 1992, before retiring in 2000. He has been lecturing in theoretical physics since 1964 and has published numerous papers and articles on relativity and optics. He is also the author of four books.

Maccallum, School of Mathematical Sciences, Queen Mary College, London.

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