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”
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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.
Physics
The Heat Equation: Inhomogeneous Boundary Conditions
This is the third article in my series on partial differential equations. Before reading further you might want to read part one (9…
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 ...
Physics
The Heat Equation: Forcing
The inhomogeneous heat equation
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
Physics
The Heat Equation, explained
Your first PDE. Bonus: Fourier series.
Quantum Computing
How Quantum Computers Will Break Your Phone’s Encryption
These days all your devices are encrypted. Your texts, emails, all have …
Mathematics
Taylor’s Theorem
Approximating functions near points. It’s cooler than it sounds, trust me.
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”).