Classical Invariant Theory - Olver, Peter J.

Classical Invariant Theory

Peter J. Olver

Yayınevi: Cambridge University Press

Yayın tarihi: 12/1999

ISBN: 9780521558211

İngilizce | 304 Sayfa | 229 mm * 153 mm

Tür: Matematik-İstatistik

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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.

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