A Primer of Algebraic Geometry: Constructive Computational Methods, 1st Edition (Paperback) book cover

A Primer of Algebraic Geometry

Constructive Computational Methods, 1st Edition

By Huishi Li, Freddy Van Oystaeyen

CRC Press

392 pages

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"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."


"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

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.

About the Authors/Editors

Li, Huishi; Van Oystaeyen, Freddy

About the Series

Chapman & Hall/CRC Pure and Applied Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Algebra / General