Geometry
Newton’s Shell Theorem
What concerned his mind for 20-years.
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Feynman
Richard Feynman’s First Lecture (1940)
“I went through fire on my first.” While still a graduate student at Princeton University in 1940, Richard P. Feynman (1918–1988) gave his first lecture in a seminar on electrodynamics, the topic that would eventually earn him the 1965 Nobel Prize in physics. In front of a prestigious audience
Analysis
Euler’s Log-Sine Integral
Let’s discover the ingenious, yet simple, solution to Euler’s Log-Sine integral
Topology
The Hardest Math Problems
Six Difficult Ways of Becoming a Millionaire
Quantum Mechanics
Cats and Collapses: Interpreting Quantum Mechanics
Everyone’s heard of Schrödinger’s Cat. But what can it tell us about the meaning of Quantum Mechanics?
Operator Theory
On Truncated Toeplitz Operators
Introductory notes on the algebraic properties of truncated Toeplitz operators.
Number Theory
Probability, Relativity and Pascal’s Triangle
Adding probabilities and velocities have at least two things in common — a maximum and Pascal’s triangle.
Geometry
Exploring the geometric ratios in Rick’s paradox
The math behind a popular zentangle pattern: from special triangles to trigonometry.
Algorithm
Let’s Design A Simple Algorithm
From elementary mathematics, we are familiar with the four basic mathematical operations associated with numbers — addition, subtraction…
Analysis
Pythagorean Triples and Other Beasts
I never thought that I would write math stories in English, but I also never thought that I would live in the UK either.
Number Theory
Euler’s Odd Perfect Numbers Theorem
An ancient proof to give insight into an unsolved problem.
Gödel
Kurt Gödel's Brilliant Madness
Hungarian polymath John von Neumann (1903–1957) once wrote that Kurt Gödel was “absolutely irreplaceable” and “in a class by himself”.