Symmetry and separation of variables (Encyclopedia of mathematics and its applications ; v. 4 : Section, special functions) - Hardcover

Miller, Willard

Hardcover

ISBN 10: 0201135035 ISBN 13: 9780201135039

Publisher: Addison-Wesley Pub. Co., Advanced Book Program, 1977

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

Edition details

• Publisher: Addison-Wesley Pub. Co., Advanced Book Program
• Publication date: 1977
• ISBN 10: 0201135035
• ISBN 13: 9780201135039
• Binding: Hardcover
• Language: English
• Number of pages: 285