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Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra

✍ Scribed by David A. Cox, John Little, Donal O’Shea

Publisher: Springer Berlin Heidelberg
Year: 1997
Tongue: English
Leaves: 549
Series: Undergraduate Texts in Mathematics
Category: Library

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✦ Table of Contents

Front Matter....Pages i-xiii
Geometry, Algebra, and Algorithms....Pages 1-46
Groebner Bases....Pages 47-111
Elimination Theory....Pages 112-166
The Algebra-Geometry Dictionary....Pages 167-211
Polynomial and Rational Functions on a Variety....Pages 212-260
Robotics and Automatic Geometric Theorem Proving....Pages 261-310
Invariant Theory of Finite Groups....Pages 311-348
Projective Algebraic Geometry....Pages 349-428
The Dimension of a Variety....Pages 429-495
Back Matter....Pages 497-538

✦ Subjects

Algebra

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