A First Course in Computational Algebraic Geometry

A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.

Wolfram Decker (Author), Gerhard Pfister (Author)

9781107612532, Cambridge University Press

Paperback / softback, published 7 February 2013

126 pages, 40 b/w illus.
21.5 x 13.8 x 0.7 cm, 0.16 kg

'Decker and Pfister exposit the very rudiments of algebraic geometry in tandem with the workings of the program Singular. The student who masters this content could proceed in many directions … Recommended. Upper-division undergraduates through researchers/faculty.' D. V. Feldman, Choice

A First Course in Computational Algebraic Geometry is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. Originating from a course taught at the African Institute for Mathematical Sciences, the book gives a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the freely available computer algebra system, Singular. Readers will quickly gain the confidence to begin performing their own experiments.

Preface
Prologue: general remarks on computer algebra systems
1. The geometry-algebra dictionary
2. Computing
3. Sudoku
4. A problem in group theory solved by computer algebra
Bibliography
Index.

Subject Areas: Computer science [UY], Algebraic geometry [PBMW], Geometry [PBM], Algebra [PBF], Mathematics [PB]