The Homogeneous Case.- Hilbert Functions.- Further Applications.
From the reviews:
"Four years ago the authors published the first volume of a projected series about computational commutative algebra ... . Now they have gifted us with the second volume ... . In this second volume the authors continue with the same style, as the first, an almost humorous one. ... It was a pleasure to review this nice book ... ." (Paulo F. Machado, Mathematical Reviews, Issue 2006 h)
"The book under review is the second volume of the authors' 'Computational commutative algebra'. ... the book altogether covers on its 586 pages a wealth of interesting material with several unexpected applications. ... an encyclopedia on computational commutative algebra, a source for lectures on the subject as well as an inspiration for seminars. The text is recommended for all those who want to learn and enjoy an algebraic tool that becomes more and more relevant to different fields of applications." (Peter Schenzel, Zentralblatt MATH, Vol. 1090 (16), 2006)