Ideals, Varieties, and Algorithms

An Introduction to Computational Algebraic Geometry and Commutative Algebra

Ranked #17 in Abstract Algebra, Ranked #19 in Algebrasee more rankings.

This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry the elimination theorem, the extension theorem, the closure theorem and the Nullstellensatz this new edition incorporates several substantial changes, all of which are listed in the Preface. The largest revision incorporates... more

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