Ideals, Varieties, and Algorithms An Introduction to Computational Algebraic Geometry and Commutative Algebra
This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward 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 ch...
Main Authors: | , , |
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Format: | eBook |
Language: | English |
Published: |
Cham
Springer International Publishing
2015, 2015
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Edition: | 4th ed. 2015 |
Series: | Undergraduate Texts in Mathematics
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Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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.