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Book Title: Classical Invariant Theory (London Mathematical Society Student,

Narrative Type: Differential Equations

Genre: N/A

Topic: Differential Equations

Intended Audience: N/A

ISBN: 9780521558211

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Product Identifiers

Publisher

Cambridge University Press

ISBN-10

0521558212

ISBN-13

9780521558211

eBay Product ID (ePID)

826460

Product Key Features

Number of Pages

304 Pages

Language

English

Publication Name

Classical Invariant Theory

Publication Year

1999

Subject

General, Algebra / General

Type

Textbook

Author

Peter J. Olver

Subject Area

Mathematics

Series

London Mathematical Society Student Texts

Format

Trade Paperback

Dimensions

Item Height

0.7 in

Item Weight

14.3 Oz

Item Length

9 in

Item Width

6 in

Additional Product Features

Intended Audience

Scholarly & Professional

LCCN

98-033722

Dewey Edition

Reviews

"As a modern in-depth study of binary forms, this book is one of a kind." -Bulletin of the American Mathematical Society, "This is a book that you can start reading knowing nothing whatsoever about the subject and that will get you to the point where you can start your own research. In fact, when you read it, you may want to start working immediately." -Mathematical Reviews

Series Volume Number

Series Number 44

Illustrated

Yes

Dewey Decimal

512.5

Table Of Content

Introduction; Notes to the reader; A brief history; Acknowledgements; 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. Multi-variate polynomials; References; Author index; Subject index.

Synopsis

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., 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., 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. A variety of innovations make this text of interest even to veterans of the subject; these include the use of differential operators and the transform approach to the symbolic method, extension of results to arbitrary functions, graphical methods for computing identities and Hilbert bases, complete systems of rationally and functionally independent covariants, introduction of Lie group and Lie algebra methods, as well as a new geometrical theory of moving frames 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.

LC Classification Number

QA201 .O48 1999

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