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- catalog abstract "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"obner 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"obner bases. The book does not assume the reader is familiar with more advanced concepts such as modules.".
- catalog contributor b10902872.
- catalog contributor b10902873.
- catalog contributor b10902874.
- catalog created "c1998.".
- catalog date "1998".
- catalog date "c1998.".
- catalog dateCopyrighted "c1998.".
- catalog 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 Gr"obner 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"obner bases. The book does not assume the reader is familiar with more advanced concepts such as modules.".
- catalog description "Includes bibliographical references (p.468-475) and index.".
- catalog extent "xii, 499 p. :".
- catalog hasFormat "Using algebraic geometry.".
- catalog identifier "0387984879 (alk. paper)".
- catalog identifier "0387984925 (pbk. : alk. paper)".
- catalog isFormatOf "Using algebraic geometry.".
- catalog isPartOf "Graduate texts in mathematics ; 185".
- catalog issued "1998".
- catalog issued "c1998.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog relation "Using algebraic geometry.".
- catalog subject "516.3/5 21".
- catalog subject "Combinatorics.".
- catalog subject "Geometry, Algebraic.".
- catalog subject "Mathematics.".
- catalog subject "QA564 .C6883 1998".
- catalog title "Using algebraic geometry / David A. Cox, John B. Little, Donal B. O'Shea.".
- catalog type "text".