The central problem considered in this book is the determination of
rational parametrizability of an algebraic curve, and, in the positive
case, the computation of a good rational parametrization. This amounts
to determining the genus of a curve, i.e. its complete singularity
structure, computing regular points of the curve in small coordinate
fields, and constructing linear systems of curves with prescribed
intersection multiplicities. Various optimality criteria for rational
parametrizations of algebraic curves are discussed. This book is mainly
intended for graduate students and researchers in constructive algebraic
curve geometry. It provides a nice and easy introduction to the topic
for students.