A First Course in Computational Algebraic Geometry
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.
- Balances mathematical theory and computational examples
- Serves as a first introduction to Singular
- Forms the basis for short courses in computational algebraic geometry
Reviews & endorsements
'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
Product details
February 2013Paperback
9781107612532
126 pages
215 × 138 × 7 mm
0.16kg
40 b/w illus.
Available
Table of Contents
- 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.