Symmetry and Separation of Variables

Willard Miller (Autor)

Buch | Softcover

318 Seiten

2012
Cambridge University Press (Verlag)
978-0-521-17739-9 (ISBN)

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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.

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.

Erscheint lt. Verlag	29.3.2012
Reihe/Serie	Encyclopedia of Mathematics and its Applications
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	156 x 234 mm
Gewicht	450 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Naturwissenschaften ► Physik / Astronomie
ISBN-10	0-521-17739-1 / 0521177391
ISBN-13	978-0-521-17739-9 / 9780521177399
Zustand	Neuware