Ideals varieties and algorithms: an introduction to computational algebra geometry and commutative algebra /
D Cox, J Little and D O’Shea
- 4th ed.
- Springer, New York: 1992.
- XVI, 646 pages. HB
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 --