Classical Invariant Theory: 44 (London Mathematical Society Student Texts, Series Number 44) - Softcover

Olver, Peter J.

Softcover

ISBN 10: 0521558212 ISBN 13: 9780521558211

Publisher: Cambridge University Press, 2010

Synopsis

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. 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.

About this title

Review

'... impressive ... a beautiful book.' Liam O'Carroll, Bulletin of the London Mathematical Society

Book Description

The book is a self-contained introduction to the results and computational methods in classical invariant theory. It relies on minimal mathematical prerequisites, and can be read by advanced undergraduate or graduate students. A variety of innovations will also make the book of interest to specialists and researchers.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2010
• ISBN 10: 0521558212
• ISBN 13: 9780521558211
• Binding: Paperback
• Language: English
• Number of pages: 304