
Singular introduction to commutative algebra
Résumé
This book can be understood as a model for teaching
commutative algebra, taking into account modern
developments such as algorithmic and computational aspects.
As soon as a new concept is introduced, the text shows how
to handle it by computer. The computations are exemplified
with the computer algebra system SINGULAR developed by the
authors. SINGULAR is a special system for polynomial
computation with many features for global as well as for
local commutative algebra and algebraic geometry.
The book includes a CD with a version of SINGULAR for
various platforms (Unix/Linux, Windows, Macintosh),
including all examples and procedures explained in the
book. The book can be used for courses, seminars and as a
basis for studying research papers in commutative algebra,
computer algebra and algebraic geometry.
- Rings, Ideals and Standard Bases
- Modules
- Noether Normalization and Applications
- Primary Decomposition and Related Topics
- Hilbert Function
- Complete Local Rings
- Homological Algebra
- Appendix A. Geometric Background
- Appendix B. SINGULAR - A Short Introduction
- B. SINGULAR Reference Manual
- Index
- Glossary.
L'auteur - G.M. Greuel
University of Kaiserslautern, Germany
L'auteur - Gerhard Pfister
University of Kaiserslautern, Germany
Caractéristiques techniques
PAPIER | |
Éditeur(s) | Springer |
Auteur(s) | G.M. Greuel, Gerhard Pfister |
Parution | 27/08/2002 |
Nb. de pages | 584 |
Format | 15,3 x 23,5 |
Couverture | Broché |
Poids | 940g |
Intérieur | Noir et Blanc |
EAN13 | 9783540428978 |
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