Graduate Texts in Mathematics
2 primary works
Book 150
This book is an attempt to write on commutative algebra in a way that includes the geometric ideas that played a great role in its formation; with a view, in short, towards Algebraic Geometry. The author provides a book that covers the material that graduate students studying Algebraic Geometry - and in particular those studying the book Algebraic Geometry by Robin Hartshorne - should know. The reader should have had one year of basic graduate algebra.
Book 229
First textbook-level account of basic examples and techniques in this area.
Suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already.
David Eisenbud is a well-known mathematician and current president of the American Mathematical Society, as well as a successful Springer author.