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Using Algebraic Geometry

  • David Cox
  • John Little
  • Donal O’Shea

Part of the Graduate Texts in Mathematics book series (GTM, volume 185)

Table of contents

  1. Front Matter
    Pages i-xii
  2. David Cox, John Little, Donal O’Shea
    Pages 1-23
  3. David Cox, John Little, Donal O’Shea
    Pages 24-70
  4. David Cox, John Little, Donal O’Shea
    Pages 71-129
  5. David Cox, John Little, Donal O’Shea
    Pages 130-178
  6. David Cox, John Little, Donal O’Shea
    Pages 179-233
  7. David Cox, John Little, Donal O’Shea
    Pages 234-289
  8. David Cox, John Little, Donal O’Shea
    Pages 290-358
  9. David Cox, John Little, Donal O’Shea
    Pages 359-406
  10. David Cox, John Little, Donal O’Shea
    Pages 407-467
  11. Back Matter
    Pages 468-503

About this book

Introduction

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.

Keywords

Combinatorics Grad algebraic geometry

Authors and affiliations

  • David Cox
    • 1
  • John Little
    • 2
  • Donal O’Shea
    • 3
  1. 1.Department of Mathematics and Computer ScienceAmherst CollegeAmherstUSA
  2. 2.Department of MathematicsCollege of the Holy CrossWorcesterUSA
  3. 3.Department of Mathematics, Statistics and Computer ScienceMount Holyoke CollegeSouth HadleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-6911-1
  • Copyright Information Springer-Verlag New York 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-98492-6
  • Online ISBN 978-1-4757-6911-1
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site