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Computational Algebraic Geometry

Computational Algebraic Geometry - 03 edition

Computational Algebraic Geometry - 03 edition

ISBN13: 9780521536509

ISBN10: 0521536502

Computational Algebraic Geometry by Hal Schenck - ISBN 9780521536509
Edition: 03
Copyright: 2003
Publisher: Cambridge University Press
Published: 2003
International: No
Computational Algebraic Geometry by Hal Schenck - ISBN 9780521536509

ISBN13: 9780521536509

ISBN10: 0521536502

Edition: 03

Summary

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.

Table of Contents

Table of Contents

Preface

1. Basics of commutative algebra

2. Projective space and graded objects

3. Free resolutions and regular sequences

4. Grobner 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.

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