Louis Maddox’s Reviews > Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra > Status Update

The proofs make it a thorough treatment, but it's still accessible as an introductory reference. Concepts are often introduced within the proofs. Best taken in slowly anyway though. Blog post following reading the first chapter: http://biochemistri.es/algebraic-geom...