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  3. Classical Invariant Theory
  • Cited by 243
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    • Publisher:
      Cambridge University Press
      Publication date:
      January 2010
      January 1999
      ISBN:
      9780511623660
      9780521552431
      9780521558211
      DOI:
      https://doi.org/10.1017/CBO9780511623660
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.57kg, 304 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.405kg, 304 Pages
      • Subjects:
      Mathematics (general), Mathematics, Algebra
      Series:
      London Mathematical Society Student Texts (44)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Algebra
    Series:
    London Mathematical Society Student Texts (44)
    Information

    Book 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.

    Reviews

    ‘… impressive … a beautiful book.’

    Liam O’Carroll Source: Bulletin of the London Mathematical Society

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