目次

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.