In recent years, the discovery of new algorithms for dealing with
polynomial equations, coupled with their implementation on fast
inexpensive computers, has sparked a minor revolution in the study and
practice of algebraic geometry. This book illustrates the many uses of
algebraic geometry, highlighting some of the more recent applications of
Gröbner bases and resultants. The book is written for nonspecialists and
for readers with a diverse range of backgrounds. For this new edition,
the authors added two new sections and a new chapter, updated the
references and made numerous minor improvements throughout the text.