This is a very comprehensive introduction to Grobner bases suitable for the reader with a solid preparation in graduate level abstract algebra. Little knowledge of commutative algebra a prerequisite for this text; however, this is the perfect source for those who have read [038797847X] or [0821838040] and are looking for more. The selection of topics is quite comprehensive, and the presentation is clear and rigorous. Well thought out examples are sprinkled throughout the text as required. The exercise sets are well designed, interesting and thought provoking. This is an excellent book for use as a text for for independent study.