Using Algebraic Geometry

N.Y.: Springer, New York, 1998. xii, 499 p.; 24 cm Very good. Paperback. ISBN: 9780387984926, 0387984925

The discovery of new algorithms for dealing with polynomial equations and their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Groebner bases and resultants.Contents: 1: Introduction. 2: Solving Polynomial Equations. 3: Resultants. 4: Computation in Local Rings. 5: Modules. 6: Free Resolutions. 7: Polytopes, Resultants and Equations. 8: Integer Programming, Combinatorics and Splines. 9: Algebraic Coding Theory..