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· 제목 : Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Hardcover) 
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 기하학 > 대수기하학
· ISBN : 9783319167206
· 쪽수 : 646쪽
· 출판일 : 2015-05-13
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 기하학 > 대수기하학
· ISBN : 9783319167206
· 쪽수 : 646쪽
· 출판일 : 2015-05-13
목차
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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