Research Catalog

Details

Additional authors

1. Little, John B.
2. O'Shea, Donal.

Description

1. xii, 499 pages : illustrations; 24 cm.

Summary

1. "This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Grobner 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 Grobner bases. The book does not assume the reader is familiar with more advanced concepts such as modules."--Jacket.

Series statement

1. Graduate texts in mathematics ; 185

Uniform title

1. Graduate texts in mathematics ; 185.

Subject

1. Geometry, Algebraic
2. Geometry, Algebraic
3. Algebraische Geometrie
4. Algebraïsche meetkunde
5. Commutatieve ringen
6. Commutatieve algebra's
7. Géométrie algébrique

Contents

1. Ch. 1. Introduction -- Ch. 2. Solving Polynomial Equations -- Ch. 3. Resultants -- Ch. 4. Computation in Local Rings -- Ch. 5. Modules -- Ch. 6. Free Resolutions -- Ch. 7. Polytopes, Resultants, and Equations -- Ch. 8. Integer Programming, Combinatorics, and Splines -- Ch. 9. Algebraic Coding Theory.

Owning institution

1. Princeton University Library

Bibliography (note)

1. Includes bibliographical references (p. 468-475) and index.