Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology
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.
1138383776
Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology
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.
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Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology

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

by Teo Mora
Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology

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

by Teo Mora

Hardcover

$289.00 
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Overview

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.

Product Details

ISBN-13: 9780521811569
Publisher: Cambridge University Press
Publication date: 05/05/2005
Series: Encyclopedia of Mathematics and its Applications , #99
Pages: 784
Product dimensions: 6.50(w) x 9.53(h) x 1.65(d)

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.
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