A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.

A First Course in Computational Algebraic Geometry is designed for young students with some background in algebra who wish to perform their first experiments in

A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves

This book intends to provide material for a graduate course on computational commutative algebra and algebraic geometry, highlighting potential applications in

Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective g