Classical Invariant Theory (London Mathematical Society Student Texts, Series N,
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Classical Invariant Theory (London Mathematical Society Student Texts, Series N,
Condition:
Good
A book that has been read but is in good condition. Very minimal damage to the cover including scuff marks, but no holes or tears. The dust jacket for hard covers may not be included. Binding has minimal wear. The majority of pages are undamaged with minimal creasing or tearing, minimal pencil underlining of text, no highlighting of text, no writing in margins. No missing pages. See the seller’s listing for full details and description of any imperfections.
Ended: Jul 31, 2025 03:30:54 EDT
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US $3.58 (approx C $4.94) USPS Media MailTM.
Located in: New York, New York, United States
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eBay item number:146731480933
Item specifics
- Condition
- 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
About this product
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
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
21
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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