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Classical Invariant Theory

Classical Invariant Theory

$57.99

Part of London Mathematical Society Student Texts

  • Date Published: April 1999
  • availability: Available
  • format: Paperback
  • isbn: 9780521558211

$ 57.99
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About the Authors
  • 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.

    • Minimal prerequisites - particularly in algebra
    • Applied orientation and practical methods
    • Innovative treatments and new results
    • Many illustrative examples and exercises
    • Extensive references and historical details
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    Reviews & endorsements

    '… impressive … a beautiful book.' Liam O'Carroll, Bulletin of the London Mathematical Society

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    Product details

    • Date Published: April 1999
    • format: Paperback
    • isbn: 9780521558211
    • length: 304 pages
    • dimensions: 229 x 153 x 19 mm
    • weight: 0.405kg
    • contains: 7 b/w illus. 10 tables 122 exercises
    • availability: Available
  • 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.

  • Resources for

    Classical Invariant Theory

    Peter J. Olver

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  • Author

    Peter J. Olver, University of Minnesota

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