Ideals, Varieties, and Algorithms
-15%
portes grátis
Ideals, Varieties, and Algorithms
An Introduction to Computational Algebraic Geometry and Commutative Algebra
Little, John; Cox, David A.; O'Shea, Donal
Springer International Publishing AG
10/2016
646
Mole
Inglês
9783319374277
15 a 20 dias
Descrição não disponível.
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
CoCoA algebraic geometry;Groebner basis;Hilbert basis theorem;Macaulay2 algebraic geometry;Maple algebraic geometry;Mathematica algebraic geometry;Nullstellensatz;Sage algebraic geometry;algebraic geometry textbook adoption;algorithms algebraic geometry;computational algebraic geometry;invariant theory;projective geometry
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
CoCoA algebraic geometry;Groebner basis;Hilbert basis theorem;Macaulay2 algebraic geometry;Maple algebraic geometry;Mathematica algebraic geometry;Nullstellensatz;Sage algebraic geometry;algebraic geometry textbook adoption;algorithms algebraic geometry;computational algebraic geometry;invariant theory;projective geometry