Number Theory
Proving The Existence of Transcendental Numbers
… and how to compare the infinite?
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Applied Mathematics
Modeling an Apocalypse
How we use mathematics to describe a pandemic
Automata Theory
Elementary Cellular Automaton
A Theory On How Simple Structures Generate Complex Systems
Music
In the Celestial Chorus, Earth Sings Alto
From Pythagoras to Kepler, mathematicians saw music in the motions of the planets.
Graph Theory
Solving the Königsberg Bridge Problem
This proof is accessible to ANYONE — no mathematics knowledge required! (perfect for if you are a bit bored and in isolation, like me…
Information Theory
Intro to Information Theory
From Bits To The Modern Entropy Function
Mathematics
The Mathematics of Ted Kaczynski
Before terrorist Theodore John Kaczynski (1942-) began sending mail-bombs to faculty members at various American universities, he had a promising career in mathematics.
Physics
Oppenheimer’s Letter of Recommendation for Richard Feynman (1943)
Let’s journey back to November 1943. The Manhattan project is in its fourth year of operations, and J. Robert Oppenheimer’s Los Alamos Laboratory is eleven months into its mission of designing and building the first atomic bomb.
Philosophy
A Critical Introduction to Mathematical Structuralism
“Mathematics is the study of structures”
Wiener
The Absent-Minded Father of Cybernetics, Norbert Wiener
American mathematician Norbert Wiener (1894–1964) was by all accounts, a very peculiar man. After graduating from high school at 11 years old, he entered Tufts College and within three years was awarded an A.B. in mathematics.
Quantum Physics
Mathematical Uncertainty Principles
How to understand a core idea from Quantum Mechanics.
Physics
When Wiener met Einstein (1925)
Mathematician and later father of cybernetics Norbert Wiener (1894-1964) crossed paths with many great minds in his life, from Bertrand Russell and G.H. Hardy, to Max Born, John F. Nash Jr. and John von Neumann.