Computing in Algebraic Geometry

(0) Donner la première évaluation
CHF 59.00
Download est disponible immédiatement
eBook (pdf)
Informations sur les eBooks
Les eBooks conviennent également aux appareils mobiles (voir les instructions).
Les eBooks d'Ex Libris sont protégés contre la copie par ADOBE DRM: apprenez-en plus.
Pour plus d'informations, cliquez ici.

Description

This book provides a quick access to computational tools for algebraic geometry, the mathematical discipline which handles solution sets of polynomial equations. Originating from a number of intense one week schools taught by the authors, the text is designed so as to provide a step by step introduction which enables the reader to get started with his own computational experiments right away. The authors present the basic concepts and ideas in a compact way.



Auteur

Wolfram Decker is professor of mathematics at the Universität des Saarlandes, Saarbrücken, Germany. His fields of interest are algebraic geometry and computer algebra. From 1996-2004, he was the responsible overall organizer of the schools and conferences of two European networks in algebraic geometry, EuroProj and EAGER. He himself gave courses in a number of international schools on computer algebra methods in algebraic geometry, with theoretical and practical sessions: Zürich (Switzerland, 1994), Cortona (Italy, 1995), Nordfjordeid (Norway, 1999), Roma (Italy, 2001), Villa Hermosa (Mexico, 2002), Allahabad (India, 2003), Torino (Italy, 2004). He has managed several successful projects in computer algebra, involving undergraduate and graduate students, thus making contributions to two major computer algebra systems for algebraic geometers, SINGULAR and MACAULAY II.

Christoph Lossen is assistant professor (C2) of mathematics at the University of Kaiserslautern. His fields of interest are singularity theory and computer algebra. Since 2000, he is a member of the SINGULAR development team. He taught several courses on computer algebra methods with special emphasis on the needs of singularity theory, including international schools at Sao Carlos (Brazil, 2002), Allahabad (India, 2003) and Oberwolfach (Germany, 2003).



Contenu

Introductory Remarks on Computer Algebra.- 1 Basic Notations and Ideas: A Historical Account.- 2 Basic Computational Problems and Their Solution.- 3 An Introduction to SINGULAR.- Practical Session I .- Practical Session II .- 4 Homological Algebra I .- 5 Homological Algebra II .- Practical Session III .- 6 Solving Systems of Polynomial Equations .- 7 Primary Decomposition and Normalization .- Practical Session .- 8 Algorithms for Invariant .- 9 Computing in Local Rings .- Practical Session V .- Appendix A Sheaf Cohomology and Beilinson Monads .- Appendix B Solutions to Exercises .- References .- Index

Afficher plus

Détails sur le produit

Titre
Computing in Algebraic Geometry
Sous-titre
A Quick Start using SINGULAR
Auteur
EAN
9783540289937
Format
eBook (pdf)
Producteur
Springer Berlin Heidelberg
Genre
Bases
Parution
01.05.2006
Protection contre la copie numérique
filigrane numérique
Taille de fichier
2.27 MB
Nombre de pages
328
Afficher plus
Les clients ayant acheté cet article ont également acheté :