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An Introduction to Grobner Bases

William W. Adams and Philippe Loustaunau

ISBN 10: 0821887157 / ISBN 13: 9780821887158
Published by Universities Press, 2012
Condition: As New Soft cover
From Vedams eBooks (P) Ltd (New Delhi, India)

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Contents: 1. Basic theory of Gröbner bases. 2. Applications of Gröbner bases. 3. Modules and Gröbner bases. 4. Gröbner bases over rings. Appendices. References. Index. As the primary tool for doing explicit computations in polynomial rings in many variables Gröbner bases are an important component of all computer algebra systems. They are also important in computational commutative algebra and algebraic geometry. This book provides a leisurely and fairly comprehensive introduction to Gröbner bases and their applications. Adams and Loustaunau cover the following topics the theory and construction of Gröbner bases for polynomials with coefficients in a field applications of Gröbner bases to computational problems involving rings of polynomials in many variables a method for computing syzygy modules and Gröbner bases in modules, and the theory of Gröbner bases for polynomials with coefficients in rings. With over 120 worked out examples and 200 exercises this book is aimed at advanced undergraduate and graduate students. It would be suitable as a supplement to a course in commutative algebra or as a textbook for a course in computer algebra or computational commutative algebra. This book would also be appropriate for students of computer science and engineering who have some acquaintance with modern algebra. Bookseller Inventory # 108382

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Bibliographic Details

Title: An Introduction to Grobner Bases

Publisher: Universities Press

Publication Date: 2012

Binding: Soft cover

Book Condition:As New

Edition: 1st Edition

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