Using Algebraic Geometry (original) (raw)
Overview
Authors:
- David A. Cox
- Department of Mathematics, Amherst College, Amherst, USA
- John Little
- Department of Mathematics, College of the Holy Cross, Worcester, USA
- Donal O’shea
- Department of Mathematics, Mount Holyoke College, South Hadley, USA
Includes supplementary material: sn.pub/extras
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About this book
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.
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Table of contents (10 chapters)
Authors and Affiliations
Department of Mathematics, Amherst College, Amherst, USA
David A. Cox
Department of Mathematics, College of the Holy Cross, Worcester, USA
John Little
Department of Mathematics, Mount Holyoke College, South Hadley, USA
Donal O’shea
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Bibliographic Information
- Book Title: Using Algebraic Geometry
- Authors: David A. Cox, John Little, Donal O’shea
- Series Title: Graduate Texts in Mathematics
- DOI: https://doi.org/10.1007/b138611
- Publisher: Springer New York, NY
- eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
- Copyright Information: Springer-Verlag New York 2005
- Hardcover ISBN: 978-0-387-20706-3Published: 09 March 2005
- Softcover ISBN: 978-0-387-20733-9Published: 17 March 2005
- eBook ISBN: 978-0-387-27105-7Published: 23 November 2005
- Series ISSN: 0072-5285
- Series E-ISSN: 2197-5612
- Edition Number: 2
- Number of Pages: XII, 575
- Topics: Algebraic Geometry, Symbolic and Algebraic Manipulation, Algorithms