A Primer of Algebraic Geometry: Constructive Computational Methods

by Huishi Li, Freddy Van Oystaeyen

Overview

"Presents the structure of algebras appearing in representation theory of groups and algebras with general ring theoretic methods related to representation theory. Covers affine algebraic sets and the nullstellensatz, polynomial and rational functions, projective algebraic sets. Groebner basis, dimension of algebraic sets, local theory, curves and elliptic curves, and more."

Product Details

ISBN-13:	9780824703745
Publisher:	Taylor & Francis
Publication date:	01/11/2000
Series:	Chapman & Hall/CRC Pure and Applied Mathematics , #227
Pages:	392
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Li, Huishi; Van Oystaeyen, Freddy

Table of Contents

Affine algebraic sets and the Nullstellensatz; polynomial and rational functions; projective algebraic sets; Groebner basis; dimension of algebraic sets; an introduction to local theory; curves; elliptic curves. Appendices: finiteness conditions and field extensions; localization, discrete valuation rings and Dedekind domains.

Editorial Reviews

"This book can be used as a first course in algebraic geometry for students and researchers who are not primarily pure mathematicians. It is also useful for applications in computer algebra, robotics and computational geometry and mathematical methods in technology. … I wish to recommend this well-written book to anyone interested in applied algebraic geometry."
- EMS Newsletter, June 2003

From the Publisher