Explore the fascinating world of Rational Algebraic Curves with this comprehensive introduction from “The Bookish Owl.” Designed for graduate students, this book tackles the core problem of determining rational parametrizability of algebraic curves and computing effective rational parametrizations. Delve into essential concepts like curve genus, singularity structure, and the calculation of regular points in small coordinate fields. Discover how to construct linear systems of curves with specific intersection multiplicities. This essential resource also examines various optimality criteria for rational parametrizations, making it an indispensable guide for mathematicians and computer algebra enthusiasts. Enhance your understanding of algebraic geometry and computation with this insightful volume.