On Ramanujan’s Nested Radicals
In 1911, a 23-year-old clerk from Madras posed a problem in the Journal of the Indian Mathematical Society that stumped professional mathematicians for months. The…
Study Notes
Find the Day of a Date using this Calendar Formula
You can figure out what day of the week any date falls on. No calendar needed. Just arithmetic. I’m not talking about memorizing tricks or…
Equations: A Basic Introduction
Math teachers love to say “let x equal the unknown.” But nobody explains why that simple trick is so powerful. Here’s the thing: equations are…
Numbers – The Basic Introduction
Numbers are the alphabet of mathematics. Logic is the grammar. And everything we build in math, from simple arithmetic to quantum field theory, comes from…
Mathematical Logic – The basic introduction
If mathematics is a language, then logic is its grammar. You can have brilliant mathematical intuition, but without logical precision, you can’t communicate your ideas…
Fermat Numbers (Important Theorems & Examples)
Fermat was convinced he’d found an infinite source of prime numbers. He was wrong. Here’s the fascinating story of Fermat Numbers—and why one of history’s…
Do you multiply this way!
Before my college days I used to multiply this way. But as time passed, I learned new things. In a Hindi magazine named “Bhaskar Lakshya”, I…
Just another way to Multiply
Multiplication is probably the most important elementary operation in mathematics; even more important than usual addition. Every math-guy has its own style of multiplying numbers.…
Two Interesting Math Problems
Problem1: Smallest Autobiographical Number: A number with ten digits or less is called autobiographical if its first digit (from the left) indicates the number of…
Fox-Rabbit Chase Problem [Solution & Math Proof]
Pursuit problems are some of the most elegant challenges in classical mechanics. Two objects moving, one chasing, the other evading. The math gets surprisingly deep.…
Everywhere Continuous Non-differentiable Function
Weierstrass introduced a shocking idea in 1872. There exist functions that are continuous everywhere but differentiable nowhere. Not just at a few points. At no…
10 Memory Methods to Revise and Remember Better
Memory is the human ability to store, retain, and recall information when needed. Instead of getting lost in technical definitions, let’s explore ten practical methods…
