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  1. Home
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  3. Classical Invariant Theory
  • Cited by 225
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
1999
Online ISBN:
9780511623660
DOI:
https://doi.org/10.1017/CBO9780511623660
Subjects:
Mathematics (general), Mathematics, Algebra
Series:
London Mathematical Society Student Texts (44)
Information

Book description

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.

Reviews

‘… impressive … a beautiful book.’

Liam O’Carroll Source: Bulletin of the London Mathematical Society

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