Equations in Number Theory
Offered By: Brilliant
Course Description
Overview
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.
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.
Syllabus
- Introduction:
- Thinking Discrete: A fundamental tool in number theory involves solving equations where integer solutions are needed.
- Foundations:
- Linear Equations: adding descriptions correction
- Bezout and Billiards: Predict the path of a billiard ball using linear equations.
- Modular Arithmetic: The mod operation is part of every number theorist's toolbox.
Related Courses
Introduction to Mathematical ThinkingStanford University via Coursera Effective Thinking Through Mathematics
The University of Texas at Austin via edX Cryptography
University of Maryland, College Park via Coursera Математика для всех
Moscow Institute of Physics and Technology via Coursera Number Theory and Cryptography
University of California, San Diego via Coursera