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OverviewIn 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 Grobner 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 Grobner 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. Full Product DetailsAuthor: David A. Cox , John Little , Donal O'SheaPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2nd ed. 2005 Volume: 185 Dimensions: Width: 15.50cm , Height: 3.00cm , Length: 23.50cm Weight: 1.800kg ISBN: 9780387207339ISBN 10: 0387207333 Pages: 575 Publication Date: 17 March 2005 Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsSolving Polynomial Equations.- Resultants.- Computation in Local Rings.- Modules.- Free Resolutions.- Polytopes, Resultants, and Equations.- Polyhedral Regions and Polynomials.- Algebraic Coding Theory.- The Berlekamp-Massey-Sakata Decoding Algorithm.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |