The book "Rational Algebraic Curves" offers a comprehensive study of algebraic curves that are significant in both geometry and algebra. These curves have a long history and are applied in various fields, including modern architecture, number theory, biological modeling, error correction, and cryptographic algorithms. Today, they are particularly important for computer-aided geometric design, which is essential in aviation, the automotive industry, and household appliances. The work focuses on the analysis and manipulation of algebraic curves using computer algebra algorithms, allowing these curves to be represented in different ways, whether through polynomial definitions, parametric representations, or local developments.