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
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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

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Product details
- Date Published: February 2013
- format: Paperback
- isbn: 9781107612532
- length: 126 pages
- dimensions: 215 x 138 x 7 mm
- weight: 0.16kg
- contains: 40 b/w illus.
- availability: 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.
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Authors
Wolfram Decker, Technische Universität Kaiserslautern, Germany
Wolfram Decker heads Singular's core development team within the Department of Mathematics at the University of Kaiserslautern, together with Gert-Martin Greuel, Gerhard Pfister and Hans Schönemann. He is also coordinator of the nationwide German Research Council Priority Programme 'Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory'.
Gerhard Pfister, Technische Universität Kaiserslautern, Germany
Gerhard Pfister heads Singular's core development team within the Department of Mathematics at the University of Kaiserslautern, together with Wolfram Decker, Gert-Martin Greuel and Hans Schönemann.