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Catalogue Information
Field name
Details
Dewey Class
516.35
Title
Using Algebraic Geometry ([EBook]) / by David Cox, John Little, Donal O’Shea.
Author
Cox, David A.
Added Personal Name
Little, John
O'Shea, Donal
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer , 1998.
Physical Details
XII, 503 pages : online resource.
Series
Graduate texts in mathematics
0072-5285 ; ; 185
ISBN
9781475769111
Summary Note
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.:
Contents note
1. Introduction -- 2. Solving Polynomial Equations -- 3. Resultants -- 4. Computation in Local Rings -- 5. Modules -- 6. Free Resolutions -- 7. Polytopes, Resultants, and Equations -- 8. Integer Programming, Combinatorics, and Splines -- 9. Algebraic Coding Theory -- References.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4757-6911-1
Links to Related Works
Subject References:
Algebraic Geometry
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Combinatorics
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Mathematics
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Authors:
author
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Cox, David A.
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Cox, David A.
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Little, John
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O'Shea, Donal
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Corporate Authors:
SpringerLink (Online service)
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Series:
Graduate texts in mathematics
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GTM
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Classification:
516.35
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