A First Course in Computational Algebraic Geometry
AIMS Library of Mathematical Sciences Series

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.

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 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.