/explore

Click through on any links that interest you or select the planets on the right to continue exploring the Outer Web.
You are here

 www.themathdoctors.org
Euler's Formula: Complex Numbers as Exponents - The Math Doctors
| | www.kuniga.me
The Basel Problem
2.8 parsecs away

Travel
| | NP-Incompleteness:
| | liorsinai.github.io
Quaternions: Part 2 - Lior Sinai
2.5 parsecs away

Travel
| |
| | jaydaigle.net
A Fictional History of Numbers, Part 4: Imagination, Complexity, and the Fundamental Theorem of Algebra
2.8 parsecs away

Travel
| | We continue our exploration of what numbers are, and where mathematicians keep finding weird ones. In the first three parts we extended the natural numbers in two ways: algebraically and analytically. Those approaches gave overlapping but distinct sets of numbers. This week we combine them to get the complex numbers, and see some hints of why the complex numbers are so useful-and so frustrating.
| | lucatrevisan.wordpress.com
CS294 Lecture 15: Abelian Cayley graphs | in theory
25.5 parsecs away

Travel
| In which we show how to find the eigenvalues and eigenvectors of Cayley graphs of Abelian groups, we find tight examples for various results that we proved in earlier lectures, and, along the way, we develop the general theory of harmonic analysis which includes the Fourier transform of periodic functions of a real variable, the...