About this product

Product Identifiers

PublisherSpringer New York

ISBN-100387207333

ISBN-139780387207339

eBay Product ID (ePID)30200912

Product Key Features

Number of PagesXii, 575 Pages

Publication NameUsing Algebraic Geometry

LanguageEnglish

SubjectComputer Science, Algebra / General, Geometry / Algebraic

Publication Year2005

FeaturesRevised

TypeTextbook

Subject AreaMathematics, Computers

AuthorDonal O'shea, David A. Cox, John B. Little

SeriesGraduate Texts in Mathematics Ser.

FormatTrade Paperback

Dimensions

Item Weight63.5 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Edition Number2

Intended AudienceScholarly & Professional

LCCN2003-070363

Dewey Edition22

Series Volume Number185

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal516.3/5

Table Of ContentSolving 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.

Edition DescriptionRevised edition

SynopsisIn 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. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Gröbner bases and resultants. The book is written for nonspecialists and for readers with a diverse range of backgrounds. 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., 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 Gr bner 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 Gr bner 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., 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 Gröbner 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 Gröbner 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.

LC Classification NumberQA564-609