Symmetry and separation of variables

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Symmetry and separation of variables

Symmetry and separation of variables

Name: Symmetry and separation of variables
ISBN: 9780521177399

Willard Miller

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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.

Kategorie:

Mathematics

Rok:

2010

Wydanie:

Wydawnictwo:

Cambridge University Press

Język:

english

Strony:

290

ISBN 10: