"... a fine introduction to the study of algebraic geometry and commutative algebra ... an excellent introduction to Buchberger theory and other computational methods. Not only are the techniques presented clearly, they are presented in the appropriate geometric context ... I consider the book to be a wonderful text, not just a source book or reference book, for an upper level undergraduate or lower level graduate course. The exposition is very clear, there are many helpful pictures, and there are a great many instructive exercises, some quite challenging .. offers the heart and soul of modern commutative and albegraic geometry." -- Moss Sweedler, Cornell University, The American Mathematical Monthly.
"The very readable, excellent book being reviewed is an introduction to algebraic geometry emphasiing the algorithmic, computational viewpoint. This book will be very valuable to many different consituencies ... useful and pleasant reading." -- A.J. Sommese, University of Notre Dam