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Symmetry and Separation of Variables : Encyclopedia of Mathematics and Its Applications - Willard Miller

Symmetry and Separation of Variables

Encyclopedia of Mathematics and Its Applications

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Published: 2nd February 2011
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This volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special functions that arise in this manner. Some modern group-theoretic twists in the ancient method of separation of variables that can be used to provide a foundation for much of special function theory are shown. In particular, it is shown explicitly that all special functions that arise via separation of variables in the equations of mathematical physics can be studied using group theory.

' ... an important step in the group-theoretic approach to special functions. It is clearly written and should be accessible to a broad spectrum of readers'. Mathematical Reviews

Editor's statement
Section editor's statement
Preface
The Helmholtz equation
The Schr¶dinger and heat equations
The three-variable Helmholtz and Laplace equations
The wave equation
The hypergeometric function and its generalizations
Appendices
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521302241
ISBN-10: 0521302242
Series: Encyclopedia of Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 318
Published: 2nd February 2011
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6  x 1.9
Weight (kg): 0.77