Equivalence, Invariants and Symmetry (Paperback)

Peter J. Olver

ISBN 10: 0521101042 / ISBN 13: 9780521101042

Published by Cambridge University Press, Cambridge, 2009

About this Item

Paperback. Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in a 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. Particular emphasis is given to the construction and classification of invariants, and to the 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 other related fields. This book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in a variety of mathematical fields and physical applications. It will be a valuable resource for students and researchers in geometry, analysis, algebra, mathematical physics and related fields. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780521101042

Bibliographic Details

• Title: Equivalence, Invariants and Symmetry (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2009
• Language: English
• ISBN 10: 0521101042
• ISBN 13: 9780521101042
• Binding: Paperback
• Condition: new

About this title

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.

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.