Calculus
The Intuition Behind Integration
An introduction to integral calculus with a focus on the core concepts and the beautiful intuition that lies behind the algebra.
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Logic
Hard Proofs and Logic
Introduction to Mathematics for non-Mathematicians
Quantum Mechanics
Ways of Interpreting Quantum Mechanics: A Quick Look
Copenhagen, Parallel Worlds and Infinite trajectories: Time to dive into the weird.
Ramanujan
Ramanujan’s Early Work on Continued Fractions
“I had never seen anything in the least like [it] before” — G.H. Hardy On or about the 31st of January 1913, mathematician G.H. Hardy (1877-1947) of Trinity College at Cambridge University received a parcel of papers from Madras, India. The package included a cover letter where a young
Differential Geometry
The Gauss Bonnet Theorem and an Introduction to Spherical Geometry
A visual introduction to Spherical geometry, a geometry where triangles’ angles don’t sum to 180.
Physics
Physics Puzzles: A Pebble Thrown in the Air
Will It Take Longer to Go Up or Down?
Open Problem
The Collatz Conjecture
Some shocking results from 180,000 iterations
Geometry
The Hidden Life of Circles
Everyone knows that circles are quite simple figures, but from the perspective of number theory they have many secrets inside.
Dynamic Programming
Exploring Monotone Subsequences With Dynamic Programming in Python
When computer science and dynamic programming meets math
Mathematics
The Martians of Budapest
The Martians of Budapest”, sometimes referred to as simply “The Martians” is a colloquial term used to describe a group of prominent Hungarian physicists and mathematicians who emigrated to the United States following the Great Purge of 1933.
Calculus
Walking On A Grid
Nothing like a late night walk on a grid to see things clearly
Time
Time Is An Illusion Born Out Of Our Ignorance
Deconstructing time using Lorentz transformations, special relativity, and entropy