The course explores the relationship between pi, primes, and complex numbers in number theory. By delving into topics such as counting lattice points, Gaussian integers, and prime regularities, students will learn about Fermat's theorem on sums of two squares. The teaching method includes a mix of explanations, visualizations, and mathematical proofs. This course is intended for individuals interested in advanced mathematics and number theory.
Overview
Syllabus
- Introduction.
- Counting lattice points.
- Gaussian integers.
- The lattice point recipe.
- Counting on one ring.
- Exploiting prime regularity.
- Combining the rings.
- Branches of number theory.
Taught by
3Blue1Brown
