Equivalence, Invariants and Symmetry

Peter J. Olver (University of Minnesota)

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English

Cambridge University Press
05 February 2009

Mathematics & Sciences; Calculus & mathematical analysis; Geometry

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.

By: Peter J. Olver (University of Minnesota)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm, Spine: 31mm
Weight: 790g
ISBN: 9780521101042
ISBN 10: 0521101042
Pages: 544
Publication Date: 05 February 2009
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Reviews for Equivalence, Invariants and Symmetry

'... contains so much useful information ... I am sure that the book will fulfil its author's intention and serve as a catalyst for the further development of this fascinating and fertile mathematical field.' J. A. G. Vickers, Bulletin of the London Mathematical Society '... there is no room for doubt about the author's authority in the subject. As a definitive work at its price every mathematics research library should have a copy.' J. F. Toland, Proceedings of the Edinburgh Mathematical Society 'The book should be warmly recommended to graduate students of mathematics and mathematical physics.' European Mathematical Society Newsletter