A Primer of Algebraic Geometry: Constructive Computational Methods

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Huishi Li (University of Atwerp/UIA, Belgium) Freddy Van Oystaeyen (University of Antwerp/UA, Belgium)

A Primer of Algebraic Geometry

Constructive Computational Methods

Huishi Li (University of Atwerp/UIA, Belgium), Freddy Van Oystaeyen (University of Antwerp/UA, Belgium), Freddy Van Oystaeyen (University of Antwerp/UA, Belgium) , Earl Taft

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English

CRC Press Inc
11 January 2000

Algebraic geometry

Series: Chapman & Hall/CRC Pure and Applied Mathematics

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.

By: Huishi Li (University of Atwerp/UIA Belgium), Freddy Van Oystaeyen (University of Antwerp/UA, Belgium), Freddy Van Oystaeyen (University of Antwerp/UA, Belgium)
Series edited by: Earl Taft
Imprint: CRC Press Inc
Country of Publication: United States
Volume: v. 227
Dimensions: Height: 234mm, Width: 156mm, Spine: 24mm
Weight: 635g
ISBN: 9780824703745
ISBN 10: 082470374X
Series: Chapman & Hall/CRC Pure and Applied Mathematics
Pages: 392
Publication Date: 11 January 2000
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

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.

Li, Huishi; Van Oystaeyen, Freddy

Reviews for A Primer of Algebraic Geometry: Constructive Computational Methods

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