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Solving Polynomial Equation Systems II

Solving Polynomial Equation Systems II
Macaulay's Paradigm and Gröbner Technology

$285.00 (C)

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: June 2005
  • availability: Available
  • format: Hardback
  • isbn: 9780521811569

$ 285.00 (C)
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  • A complete survey of Gröbner bases and their applications, this book will be essential for all workers in commutative algebra, computational algebra and algebraic geometry. The second volume of the treatise focuses on Buchberger theory and its application to the algorithmic view of commutative algebra. In distinction to other works, the presentation is based on the intrinsic linear algebra structure of Gröbner bases, making this a state-of-the-art reference on issues of implementation.

    • Elementary introduction to Groebner bases and Buchberger's Algorithm which also discusses the state-of-the-art of the best implementations
    • Survey of last twenty years work on applying Groebner technology to commutative algebra
    • Unique in stressing modern framework for computational work and solution methods
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    Reviews & endorsements

    "The material contained in the book is remarkably wide-ranging and includes the most recent developments in the field. The book is ... a fundamental reference for anyone from undergraduate students to researchers interested in (computational aspects of) algebra."
    Mathematical Reviews

    "I have to admit that I fell in love with this book at first sight; for it is not just extremely well organized, it is also written in a style that is a joy to read... To sum up, this is a wonderful book, beautifully written and produced, that should be in every mathematical library. Actually, if you are a serious user of Gröbner bases you will probably wish to have your own copy of the book, which, I bet will soon be very well thumbed."
    S.C. Coutinho, SIGACT News

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    Product details

    • Date Published: June 2005
    • format: Hardback
    • isbn: 9780521811569
    • length: 784 pages
    • dimensions: 242 x 165 x 42 mm
    • weight: 1.261kg
    • availability: Available
  • Table of Contents

    Preface
    Part III. Gauss, Euclid, Buchberger - Elementary Gröbner Bases:
    20. Hilbert
    21. Gauss
    22. Buchberger
    23. Macaulay I
    24. Gröbner I
    25. Gebauer and Traverso
    26. Spear
    Part IV. Duality:
    27. Noether
    28. Möller I
    29. Lazard
    30. Macaulay II
    31. Gröbner II
    32. Gröbner III
    33. Möller II
    Part IV. Beyond Dimension Zero:
    34. Gröbner IV
    35. Gianni Trager Zacharias
    36. Macaulay III
    37. Galligo
    38. Giusti
    Bibliography
    Index.

  • Author

    Teo Mora, University of Genoa

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