This book aims to lead to a further stage in the computational
revolution in commutative algebra. It is the first handbook/tutorial
extensively dealing with SINGULAR. Among the great strengths and most
distinctive features is a new, completely unified treatment of the
global and local theories. Another strength of the book is its breadth
of coverage of theoretical topics in the portions of commutative algebra
closest to algebraic geometry, with algorithmic treatments of almost
every topic. The authors have written a distinctive and highly useful
book that should be in the library of every commutative algebraist and
algebraic geometer, expert and novice alike.