Ideals, Varieties, and Algorithms An Introduction to Computational Algebraic Geometry and Commutative Algebra /

• Κύριοι συγγραφείς: Cox, David A. (Συγγραφέας), Little, John (Συγγραφέας), O'Shea, Donal (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Έκδοση: 4th ed. 2015.
• Σειρά: Undergraduate Texts in Mathematics,
• Θέματα: Mathematics.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Computer software.; Mathematical logic.; Algebraic Geometry.; Commutative Rings and Algebras.; Mathematical Logic and Foundations.; Mathematical Software.

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...

Πίνακας περιεχομένων:

• 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. .