Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective g

An illustration of the many uses of algebraic geometry, highlighting the more recent applications of Groebner bases and resultants. Along the way, the authors p

An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some element

This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutio

Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from v