Ideals, Varieties, and Algorithms An Introduction to Computational Algebraic Geometry and Commutative Algebra /
This text covers topics in algebraic geometry and commutative algebra with careful attention to their practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these cha...
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| Autors principals: | , , |
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| Autor corporatiu: | |
| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Edició: | 5th ed. 2025. |
| Col·lecció: | Undergraduate Texts in Mathematics,
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| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/978-3-031-91841-4 |
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Taula de continguts:
- Preface
- Notation for Sets and Functions
- 1 Geometry, Algebra, and Algorithms
- 2 Groebner Bases
- 3 Elimination Theory
- 4 The Algebra-Geometry Dictionary
- 5 Polynomial and Rational Functions on a Variety
- 6 Robotics and Automatic Geometric Theorem Proving
- 7 Invariant Theory of Finite Groups
- 8 Projective Algebraic Geometry
- 9 The Dimension of a Variety
- 10 Additional Groebner Basis Algorithms
- Appendix A Some Concepts from Algebra
- Appendix B Pseudocode
- Appendix C Computer Algebra Systems
- Appendix D Independent Projects
- References
- Index.