Ideals, Varieties, and Algorithms

Decoding Algebraic Geometry: Ideals, Varieties, and Algorithms

This text delves into algebraic geometry and commutative algebra, emphasizing their practical and computational applications. The first four chapters provide the foundation for further exploration, as detailed in the Preface.

Beyond the fundamentals of algebraic geometry—including the elimination theorem, the extension theorem, the closure theorem, and the Nullstellensatz—the book covers polynomial and rational f…