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

Ideals, Varieties, and Algorithms An Introduction to Computational Algebraic Geometry and Commutative Algebra / by David A. Cox, John Little, Donal O'Shea.

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Bibliographic Details
Main Authors: Cox, David A. (Author), Little, John (Author), O'Shea, Donal (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:4th ed. 2015.
Series:Undergraduate Texts in Mathematics,
Springer eBook Collection.
Subjects:
Algebraic geometry.
Commutative algebra.
Commutative rings.
Mathematical logic.
Computer software.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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. .

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