Equivalence, Invariants and Symmetry - Softcover

Olver, Peter J.

Softcover

ISBN 10: 0521101042 ISBN 13: 9780521101042

Publisher: Cambridge University Press, 2009

Synopsis

This book presents an innovative synthesis of methods used to study the problems of equivalence and symmetry that arise in a variety of mathematical fields and physical applications. It draws on a wide range of disciplines, including geometry, analysis, applied mathematics, and algebra. Dr. Olver develops systematic and constructive methods for solving equivalence problems and calculating symmetries, and applies them to a variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials, and differential operators. He emphasizes the construction and classification of invariants and reductions of complicated objects to simple canonical forms. This book will be a valuable resource for students and researchers in geometry, analysis, algebra, mathematical physics and related fields.

About this title

Book Description

This book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in an variety of mathematical fields and physical applications. Systematic and constructive methods for solving equivalence problems and calculating symmetries are developed and applied to a wide variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials, and differential operators. This book will be a valuable resource for students and researches in geometry, analysis, algebra, mathematical physics and related fields.

Review

"...represents an important effort to present the theory of the equivalence problem in a modern language with many new applications to concrete situations; in the author's words, 'it is a provocative blend of mathematical flavors'. Most of the material is of interest, and easily readable, for a wide class of specialists in different areas, as the book offers applications ranging over a great variety of fields." Jaime Muñoz Masqué, Mathematical Reviews

"Olver's highly original exposition gives a unified approach to a wide variety of problems of this sort via Cartan's equivalence method....this well-written book will interest a wide variety of mathematicians and graduate students." D.V. Feldman, Choice

Edition details

• Publisher: Cambridge University Press
• Publication date: 2009
• Language: English
• ISBN 10: 0521101042
• ISBN 13: 9780521101042
• Binding: Paperback
• Edition number: 1
• Number of pages: 544