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简介
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra 豆 0.0分
资源最后更新于 2020-07-26 15:38:20
作者：David A. Cox
出版社：Springer
出版日期：2015-01
ISBN：9783319167206
文件格式： pdf
标签： 算法 数学-计算数学 数学 UTM Geometry 计算机 美國 數學
简介· · · · · ·
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 chapters are covered. In addition to the fundamentals of algebraic geometry—the el...
目录
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
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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