Symmetry and Separation of Variables (Paperback) (ISBN-13: 9780521177399)

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.

Author: Willard Jr. Miller, Miller
ISBN-10: 0521177391
ISBN-13: 9780521177399
Publisher: Cambridge University Press
Language: English
Published: 03/29/2012
Pages: 318
Format: Paperback
Weight: 0.98lbs
Size: 9.21h x 6.14w x 0.67d