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Using Algebraic Geometry

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ISBN-10: 0387207333

ISBN-13: 9780387207339

Edition: 2nd 2005 (Revised)

Authors: John B. Little, David A. Cox, Donal O'Shea

List price: $84.99
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Description:

In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Grbner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more advanced than one typically encounters in a first course, but nonetheless of great utility. The book is…    
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Book details

List price: $84.99
Edition: 2nd
Copyright year: 2005
Publisher: Springer New York
Publication date: 3/17/2005
Binding: Paperback
Pages: 575
Size: 6.10" wide x 9.25" long x 1.25" tall
Weight: 1.782
Language: English

Introduction
Solving Polynomial Equations
Resultants
Computation in Local Rings
Modules
Free Resolutions
Polytopes, Resultants and Equations
Integer Programming, Combinatorics and Splines
Algebraic Coding Theory
The Berlekamp-Massey-Sakata Decoding Algorithm