Computing in Algebraic Geometry | Buch

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Cover: 9783540289920 | Computing in Algebraic Geometry | A Quick Start using SINGULAR | Buch

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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).

Zusammenfassung

Good addition to other bestselling books, see related titles on the topic

Includes supplementary material: [...]

Inhaltsverzeichnis

Introductory Remarks on Computer Algebra.- Basic Notations and Ideas: A Historical Account.- Basic Computational Problems and Their Solution.- An Introduction to SINGULAR.- Practical Session I.- Practical Session II.- Constructive Module Theory and Homological Algebra I.- Homological Algebra II.- Practical Session III.- Solving Systems of Polynomial Equations.- Primary Decomposition and Normalization.- Practical Session IV.- Algorithms for Invariant Theory.- Computing in Local Rings.- Practical Session V.

Details

Erscheinungsjahr:	2006
Fachbereich:	Geometrie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	344
Reihe:	Algorithms and Computation in Mathematics
Inhalt:	xvi 328 S.
ISBN-13:	9783540289920
ISBN-10:	3540289925
Sprache:	Englisch
Herstellernummer:	11422471
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Lossen, Christoph Decker, Wolfram
Auflage:	2006
Hersteller:	Springer-Verlag GmbH Springer Berlin Heidelberg Algorithms and Computation in Mathematics
Maße:	241 x 160 x 24 mm
Von/Mit:	Christoph Lossen (u. a.)
Erscheinungsdatum:	02.03.2006
Gewicht:	0,682 kg