A First Course in Computational Algebraic Geometry

Erscheinungsjahr 2013
ISBN: 978-1-107-61253-2
Verlag: Cambridge University Press

Buch, Englisch, 126 Seiten, Format (B × H): 140 mm x 216 mm, Gewicht: 172 g

Reihe: AIMS Library of Mathematical Sciences

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.

Autoren/Hrsg.

Decker, Wolfram

Pfister, Gerhard

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

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.

Über Autor(innen)

Pfister, Gerhard
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, Wolfram
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'.

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.