Symmetry and Separation of Variables

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Sprache: Englisch

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Beschreibung

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.

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2011
Genre:	Importe , Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
ISBN-13:	9780521177399
ISBN-10:	0521177391
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Miller, Willard Jr. Miller
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	234 x 156 x 17 mm
Von/Mit:	Willard Jr. Miller (u. a.)
Erscheinungsdatum:	10.06.2011
Gewicht:	0,485 kg