Classical invariant theory
Author(s)
Bibliographic Information
Classical invariant theory
(London Mathematical Society student texts, 44)
Cambridge University Press, 1999
- : hbk
- : pbk
Available at 60 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Bibliography: p. [247]-259
Includes indexes
Description and Table of Contents
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.
Table of Contents
- 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.
by "Nielsen BookData"