Symmetry and Separation of Variables (Encyclopedia of Mathematics and its Applications, Series Number 4) - Softcover

Miller, Willard

Softcover

ISBN 10: 0521177391 ISBN 13: 9780521177399

Publisher: Cambridge University Press, 2012

Synopsis

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.

About this title

Book Description:

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.

Review:

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

About this edition

• Publisher: Cambridge University Press
• Publication date: 2012
• ISBN 10: 0521177391
• ISBN 13: 9780521177399
• Binding: Paperback
• Number of pages: 318