Book Cover
Author Olver, Peter J.

Title Classical invariant theory / Peter J. Olver
Published Cambridge, UK ; New York : Cambridge University Press, 1999
Online access available from:
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Description 1 online resource (xxi, 280 pages) : illustrations
Series London Mathematical Society student texts ; 44
London Mathematical Society student texts ; 44
Contents 1. Prelude -- Quadratic Polynomials and Quadratic Forms -- 2. Basic Invariant Theory for Binary Forms -- 3. Groups and Transformations -- 4. Representations and Invariants -- 5. Transvectants -- 6. Symbolic Methods -- 7. Graphical Methods -- 8. Lie Groups and Moving Frames -- 9. Infinitesimal Methods -- 10. Multivariate Polynomials
Summary There 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. 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
Bibliography Includes bibliographical references (pages [247]-259) and indexes
Notes Description based on print version record
Subject Invariants.
Form Electronic book
ISBN 9781107362369 (electronic bk.)
1107362369 (electronic bk.)
9780511623660 (electronic bk.)
0511623666 (electronic bk.)