The discovery of new algorithms for dealing with polynomial equations, and their implementation on fast, inexpensive computers, has revolutionized algebraic geometry and led to exciting new applications in the field. This book details many uses of algebraic geometry and highlights recent application[...]

Algebraic Geometry is the study of systems of polynomial equations in one or more variables. This book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. It also includes information on AXIOM, CoCoA, Macaulay 2, Magma, M[...]