Equations in Number Theory

Take a deep dive into one of the most fundamental techniques in number theory: solving Diophantine (integer) equations.

Thinking Discrete

Linear Equations

Bezout and Billiards

Modular Arithmetic


Course description

This course was written in collaboration with Andrea Marino, a two-time math olympiad gold medalist and mathematics PhD at Tor Vergata University. In this course, you'll learn one of the most fundamental techniques in number theory: solving Diophantine (integer) equations. You'll apply these techniques to both abstract problems, as well as to problems in chemistry, geometry, game theory, and billiards.


Prerequisites

  • Number Theory