This text investigates how computational tools and numerical experimentation can serve as a primary method for conducting research in number theory. The author, Fernando Villegas, draws upon extensive teaching experience to provide a framework for graduate students to bridge the gap between theoretical concepts and practical application. By utilizing the PARI/GP environment, the book demonstrates how to generate data that informs mathematical conjectures and deepens the understanding of complex algebraic structures.

Experts and educators recognize this work as a practical bridge between abstract theory and computational practice for graduate students. Readers frequently note that the inclusion of specific code examples makes the material highly accessible for those looking to apply numerical methods to their own research projects.