Relativity
Why Time Is Encoded in the Geometry of Space
An Introduction to Geometrodynamics
Latest
Puzzle
This Math Trick Only Works for Everyone at the End of the Year
So it’s the perfect way to usher in the new year
Differential Equations
Numerical Solvers for ODEs
An introduction to Euler methods
Volpin
The Beautiful Consistency of Mathematics — Alexander Yessenin-Volpin
Mathematics is often believed to bring people to madness. We hear many stories like those about Gödel, Cantor, Nash, and Grothendieck, describing geniuses haunted by insanity that is developing along with their mathematics. And there is something to it. A certain psychologist said that A paranoid person is irrationally rational.
Relativity
A Gentle Explanation of E= mc²
Deriving Einstein’s Famous Mass-Energy Equivalence Formula
Number Theory
The Euler-Mascheroni Constant
Remember the harmonic series? More often than not, it serves as one’s first encounter with a series wherein individual terms diminish successively yet the series diverges to infinity. The below quote nicely sums the up notoriousness of the harmonic series: Today I said to my calculus students, “I know,
Linear Algebra
A Guide to Inverting Matrices for Analysts
One of the oldest and most thoroughly studied problems in both linear algebra and numerical analysis is finding solutions for Ax = f. In a first linear algebra class, one might learn about how to identify what matrices are invertible, and calculate inverses by hand (very likely by means of Gaussian
Euler
The Most Beautiful Equation in the World
And the Geometry of Numbers
Einstein
Length Contraction in Einstein’s Theory of Relativity
Why Moving Objects are Shortened
Euler
Infinity in Numbers — Leonhard Euler
This is a story about one of the greatest minds in history, and about the mysteries and beauty surrounding his legacy. The story is about Leonhard Euler (1707–1783).
Field Theory
A Finite Number Of “Numbers”
What exactly is arithmetic on a field of numbers which are merely elements in some set?
Physics
The Physics of Superfluidity
The Frictionless Flow of Liquid Helium at Temperatures near Absolute Zero