The discovery of new algorithms for dealing with polynomial equations, and their implementation on fast, inexpensive computers, has revolutionized algebraic geometry and led to exciting new applications in the field. This book details many uses of algebraic geometry and highlights recent application[...]

Praise for the "First Edition"." . .will certainly fascinate anyone interested in abstract algebra: a remarkable book ""--Monatshefte fur Mathematik"Galois theory is one of the most established topics in mathematics, with historical roots that led to the development of many central concepts in moder[...]

This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these ch[...]