Computational Algebraic Geometry / Edition 1

by Hal Schenck

Overview

Recent advances in computing and algorithms make it easier to do many classical problems in algebra. Suitable for graduate students, this book brings advanced algebra to life with many examples. The first three chapters provide an introduction to commutative algebra and connections to geometry. The remainder of the book focuses on three active areas of contemporary algebra: homological algebra; algebraic combinatorics and algebraic topology; and algebraic geometry.

Product Details

ISBN-13:	9780521536509
Publisher:	Cambridge University Press
Publication date:	10/06/2003
Series:	London Mathematical Society Student Texts , #58
Edition description:	New Edition
Pages:	208
Product dimensions:	6.02(w) x 9.02(h) x 0.51(d)

Table of Contents

Preface; 1. Basics of commutative algebra; 2. Projective space and graded objects; 3. Free resolutions and regular sequences; 4. Gröbner bases; 5. Combinatorics and topology; 6. Functors: localization, hom, and tensor; 7. Geometry of points; 8. Homological algebra, derived functors; 9. Curves, sheaves and cohomology; 10. Projective dimension; A. Abstract algebra primer; B. Complex analysis primer; Bibliography.

Editorial Reviews

"Schenck's book offers an interesting path into this wonderful subject...Any student who completes this book will be excited about algebraic geometry and well-equipped for further reading."
Bulletin of the American Mathematical Society

From the Publisher