Equivalence, Invariants and Symmetry
By (author) Peter J. Olver
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Equivalence, Invariants and Symmetry by Peter J. Olver
Book DescriptionDrawing 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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Book DetailsISBN: 9780521478113
(228mm x 152mm x 35mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 30-Jun-1995
Country of Publication: United Kingdom
Books By Author Peter J. Olver
Equivalence, Invariants and Symmetry, Paperback (February 2009)
Presents an innovative synthesis of methods used to study problems of equivalence and symmetry.
Applied Linear Algebra, Hardback (January 2005)
Aims to teach basic methods and algorithms used in modern, real problems that are likely to be encountered by engineering and science students. Because no previous exposure to linear algebra is assumed, the text can be used for a motivated entry-level class as well as advanced undergraduate and beginning graduate engineering/applied math students.
Applications of Lie Groups to Differential Equations, Paperback (January 2000)
Presents an introduction to applications of Lie groups to differential equations which have proved to be useful in practice. Following an exposition of the applications, this book develops the underlying theory, with many of the topics presented in a novel way, emphasizing explicit examples and computations.
Classical Invariant Theory, Paperback (January 1999)» View all books by Peter J. Olver
The book is a self-contained introduction to the results and methods in classical invariant theory.
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