Ideals, Varieties, and Algorithms : An Introduction to Computational Algebraic Geometry and Commutative Algebra.
- 2nd ed.
- 1 online resource (549 pages)
- Undergraduate Texts in Mathematics Series .
- Undergraduate Texts in Mathematics Series .
Undergraduate Texts in Mathematics -- Ideals, Varieties, and Algorithms -- Copyright -- Preface to the First Edition -- Preface to the Second Edition -- Contents -- 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 -- Appendix A Some Concepts from Algebra -- Appendix B Pseudocode -- Appendix C Computer Algebra Systems -- Appendix D Independent Projects -- References -- Index.