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Symmetry and Separation of Variables: Encyclopedia of Mathematics and its Applications, cartea 4

Autor Willard Miller
en Limba Engleză Paperback – 28 mar 2012
Originally published in 1977, 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 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.
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Specificații

ISBN-13: 9780521177399
ISBN-10: 0521177391
Pagini: 318
Ilustrații: black & white illustrations
Dimensiuni: 156 x 234 x 17 mm
Greutate: 0.45 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Encyclopedia of Mathematics and its Applications

Locul publicării:Cambridge, United Kingdom

Cuprins

Editor's statement; Section editor's statement; Preface; 1. The Helmholtz equation; 2. The Schrödinger and heat equations; 3. The three-variable Helmholtz and Laplace equations; 4. The wave equation; 5. The hypergeometric function and its generalizations; Appendices; References; Index.

Recenzii

Review of the hardback: ' … 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

Descriere

This 1977 volume is concerned with the group-theoretic approach to special functions.