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

Teo Mora

ISBN 10: 0521811562 / ISBN 13: 9780521811569

Published by Cambridge University Press, 2005

About this Item

Druck auf Anfrage Neuware - Printed after ordering - The second volume of this comprehensive treatise focusses on Buchberger theory and its application to the algorithmic view of commutative algebra. In distinction to other works, the presentation here is based on the intrinsic linear algebra structure of Groebner bases, and thus elementary considerations lead easily to the state-of-the-art in issues of implementation. The same language describes the applications of Groebner technology to the central problems of commutative algebra. The book can be also used as a reference on elementary ideal theory and a source for the state-of-the-art in its algorithmization. Aiming to provide a complete survey on Groebner bases and their applications, the author also includes advanced aspects of Buchberger theory, such as the complexity of the algorithm, Galligo's theorem, the optimality of degrevlex, the Gianni-Kalkbrener theorem, the FGLM algorithm, and so on. Thus it will be essential for all workers in commutative algebra, computational algebra and algebraic geometry.

Seller Inventory # 9780521811569

Bibliographic Details

• Title: Solving Polynomial Equation Systems II : Macaulay's Paradigm and Grobner Technology
• Publisher: Cambridge University Press
• Publication Date: 2005
• Language: English
• ISBN 10: 0521811562
• ISBN 13: 9780521811569
• Binding: Buch
• Condition: Neu
• Dimensions: 240W x 161H x 46D millimeters 240 millimeters width by 161 millimeters height by 46 millimeters depth
• Weight: 1327 grams

About this title

Synopsis

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.

Book Description

The second volume of this comprehensive treatise focusses on Buchberger theory and its application to the algorithmic view of commutative algebra. In distinction to other works, the presentation here is based on the intrinsic linear algebra structure of Groebner bases, and thus elementary considerations lead easily to the state-of-the-art in issues of implementation. Aiming to be a complete survey on Groebner bases and their applications, the book will be essential for all workers in commutative algebra, computational algebra and algebraic geometry.