Math Files

Sometimes mathematical patterns feel so deeply satisfying that they seem to affirm Galileo’s belief that God has written the universe in language of mathematics.

Today marks the death anniversary of Évariste Galois, a French mathematician and political activist. He wrote his most important work at just 18 years old and died in a duel at 20. Galois solved a long-standing, widely studied problem: he proved there is no universal formula for solving polynomial equations of degree 5 or higher. He uncovered a profound link between two branches of mathematics—group theory and field theory. Through this, he founded entirely new mathematical fields that paved the way for countless researchers afterward. It’s staggering to imagine what he might have achieved had he lived longer.

The brain doesn’t need a gym, it needs this everyday: - Linear Algebra - Calculus - Statistics - Probability - Differential Equations - Mechanics - Thermodynamics - Electromagnetism - Quantum Mechanics.

The sum of two consecutive integers is equal to the difference of their squares. For example: 13 + 14 = 27 and 14² - 13² = 27.

The last photograph taken of Nikola Tesla, 1st Jan 1943.

Sir Isaac Newton predicted in 1704 that the world would end in 2060.

Albert Einstein and Marie Curie discussing near a lake, 1929

A rough approximation of seconds per year

Visualizing 5k and 50k primes in polar coordinates

When E = mc² was first written down by Albert Einstein