Classical Invariant Theory
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Classical Invariant Theory by Peter J. Olver
Book DescriptionThere has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival of computational methods coupled with powerful new computer algebra packages; and a wealth of new applications, ranging from number theory to geometry, physics to computer vision. This book provides readers with a self-contained introduction to the classical theory as well as modern developments and applications. The text concentrates on the study of binary forms (polynomials) in characteristic zero, and uses analytical as well as algebraic tools to study and classify invariants, symmetry, equivalence and canonical forms. It also includes a variety of innovations that make this text of interest even to veterans of the subject. Aimed at advanced undergraduate and graduate students the book includes many exercises and historical details, complete proofs of the fundamental theorems, and a lively and provocative exposition.
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Book DetailsISBN: 9780521552431
(228mm x 152mm x 21mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Jan-1999
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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