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Using Algebraic Geometry : Graduate Texts In Mathematics - David A. Cox

Using Algebraic Geometry

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

Hardcover | 6 April 2005 | Edition Number 2

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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 Groebner 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 written for nonspecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help to have some previous exposure to Groebner bases. The book does not assume the reader is familiar with more advanced concepts such as modules. For this new edition the authors added two new sections and a new chapter, updated the references and made numerous minor improvements throughout the text.
Industry Reviews
From the reviews of the second edition:

"The book has been very successful. It succeeded in establishing a bridge between modern computer science and classical algebraic geometry." (Gerhard Pfister, Zentralblatt MATH, Vol. 1079, 2006)

"The authors a ] do not expect much from their reader in terms of mathematical prerequisites. a ] This reviewer thinks that the part of the intended audience consisting of graduate students interested in research in computational algebraic geometry will find this to be a very useful book. The many exercises throughout the text, and the mere fact that this is a very good and detailed overview of the subject will definitely make it desirable for this group." (Gizem Karaali, MathDL, September, 2005)

You Can Find This Book In

Non-FictionMathematicsGeometryAlgebraic GeometryComputing & I.T.DatabasesData Capture & AnalysisComputer Programming & Software DevelopmentAlgorithms & Data Structures

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Published: 27th December 2005

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