Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra
Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated? The solutions o...
Gardado en:
| Auteurs principaux: | , , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer
[20..].
Cham : Springer Nature |
| Edición: | 3rd ed. 2007. |
| Series: | Undergraduate Texts in Mathematics
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| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Ideals, varieties, and algorithms, an introduction to computational algebraic geometry and commutative algebra, David Cox, John Little, Donal O'Shea, 3rd edition, 2007, New-York, Springer, 1 vol. (XV-551 p.), Undergraduate texts in mathematics, 978-0-387-35650-1 |
Table des matières:
- Preface to the First Edition
- Preface to the Second Edition
- Preface to the Third Edition
- Geometry, Algebra, and Algorithms
- Groebner Bases
- Elimination Theory
- The Algebra-Geometry Dictionary
- Polynomial and Rational Functions on a Variety
- Robotics and Automatic Geometric Theorem Proving
- Invariant Theory of Finite Groups
- Projective Algebraic Geometry
- The Dimension of a Variety
- Appendix A. Some Concepts from Algebra
- Appendix B. Pseudocode
- Appendix C. Computer Algebra Systems
- Appendix D. Independent Projects
- References
- Index