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 Gr”bner 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.
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)
Series: Graduate Texts in Mathematics
Number Of Pages: 575
Published: 1st March 2005
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.62 x 15.49
Weight (kg): 0.94
Edition Number: 2
Edition Type: Revised