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.

'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

• 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.