Equivalence, Invariants and Symmetry by Peter J Olver

Equivalence, Invariants and Symmetry by Peter J Olver

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.

'.. 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

Peter J. Olver is professor of mathematics at the University of Minnesota. His wide-ranging research interests are centered on the development of symmetry-based methods for differential equations and their manifold applications. He is the author of over 130 papers published in major scientific research journals as well as 4 other books, including the definitive Springer graduate text, Applications of Lie Groups to Differential Equations, and another undergraduate text, Applied Linear Algebra.

SKU	Non disponible
ISBN 13	9780521478113
ISBN 10	0521478111
Titre	Equivalence, Invariants and Symmetry
Auteur	Peter J Olver
État	Non disponible
Éditeur	Cambridge University Press
Année de publication	1995-06-30
Nombre de pages	544
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible