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Synopsis
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.
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Review
'... 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
Book Description
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.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date1995
- ISBN 10 0521478111
- ISBN 13 9780521478113
- BindingHardcover
- LanguageEnglish
- Number of pages544
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Equivalence, Invariants and Symmetry (London Mathematical Society Lecture Note)
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Equivalence, Invariants and Symmetry (London Mathematical Society Lecture Note)
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ISBN 10: 0521478111
ISBN 13: 9780521478113
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Equivalence, Invariants, and Symmetry
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Equivalence, Invariants and Symmetry (London Mathematical Society Lecture Note)
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Equivalence, Invariants and Symmetry (Hardcover)
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Hardcover. Condition: new. Hardcover. 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. This book presents a 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 our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521478113
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Equivalence, Invariants, and Symmetry
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Equivalence, Invariants, and Symmetry
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