Using Algebraic Geometry (Graduate Texts In Mathematics)
Using Algebraic Geometry (Graduate Texts in Mathematics)
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 applications of Grobner bases and resultants. This edition contains two new sections, a new chapter, updated references and many minor improvements throughout.
From the reviews of the second edition:
"The book has been very successful. It succeeded in establishing a bridge between modern computer science and classical algebraic geometry." (Gerhard Pfister, Zentralblatt MATH, Vol. 1079, 2006)
"The authors a ] do not expect much from their reader in terms of mathematical prerequisites. a ] This reviewer thinks that the part of the intended audience consisting of graduate students interested in research in computational algebraic geometry will find this to be a very useful book. The many exercises throughout the text, and the mere fact that this is a very good and detailed overview of the subject will definitely make it desirable for this group." (Gizem Karaali, MathDL, September, 2005)
From the Back Cover