Ramanujan
The Hardy-Ramanujan Number
The two different ways 1729 is expressible as the sum of two cubes are 1³ + 12³ and 9³ + 10³. The number has since become known as the Hardy-Ramanujan number, the second so-called “taxicab number”
Jørgen Veisdal
Mathematics
Fermat's Little Theorem
Understanding Pierre de Fermat’s observation about prime numbers
Erdős
The Mathematical Nomad, Paul Erdős
Paul Erdos is to this day remembered as the man who devoted his entire life to mathematics. Living out of a suitcase traveling from university to university, throughout his life he survived off speaking fees and modest endowments from various universities.
Mathematics
The Black-Scholes formula, explained
Introduction to the most famous equation in finance
Mathematics
Turing Uncomputability
“As Leibniz suggested, we appear to live in the best of all possible worlds, where the computable functions make life predictable enough to be survivable ...
Mathematics
The Poincaré Conjecture (1904)
The shape of the universe as it was, is now and may become in the future is very hard for us to discern empirically. Einstein helped us somewhat by showing us that matter and energy (three-dimensional phenomena) in fact may interact with the a four-dimensional phenomenon: time
Einstein
Einstein and Hilbert’s Relativity Race
The published version of a talk by mathematician David Hilbert (1862-1943), dated the 20th of November 1915 is entitled ‘Die Grundlagen der Physik’ (“On the Foundations of Physics”).
Mathematics
The Beautiful Life of John Forbes Nash, Jr.
“He was so incredibly himself” — Herta Newman
Mathematics
The Nature of Infinity — and Beyond
An introduction to Georg Cantor’s transfinite paradise
Riemann Hypothesis
The Riemann Hypothesis, explained
It’s been called the most difficult problem in mathematics. What is the Riemann Hypothesis?