A fundamental tool in number theory involves solving equations where integer solutions are needed.

Thinking Discrete

Introduction

Linear Equations

Predict the path of a billiard ball using linear equations.

Bezout and Billiards

The mod operation is part of every number theorist's toolbox.

Modular Arithmetic

Foundations

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.

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

Equations in Number Theory

Thinking Discrete

End of Introduction

Linear Equations

Bezout and Billiards

Modular Arithmetic

End of Foundations

Course description

Prerequisites