Computing in Algebraic Geometry: A Quick Start using SINGULAR: 16 (Algorithms and Computation in Mathematics) - Softcover

Buch 8 von 24: Algorithms and Computation in Mathematics

Decker, Wolfram; Lossen, Christoph

 
9783642067013: Computing in Algebraic Geometry: A Quick Start using SINGULAR: 16 (Algorithms and Computation in Mathematics)

Inhaltsangabe

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

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Über die Autorin bzw. den Autor

Wolfram Decker is professor of mathematics at the Universitat des Saarlandes, Saarbrucken, 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: Zurich (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).

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Weitere beliebte Ausgaben desselben Titels

9783540289920: Computing in Algebraic Geometry: A Quick Start using SINGULAR (Algorithms and Computation in Mathematics, 16, Band 16)

Vorgestellte Ausgabe

ISBN 10:  3540289925 ISBN 13:  9783540289920
Verlag: Springer, 2006
Hardcover