Triangle Inequality
The triangle inequality sounds obvious. No side of a triangle can be longer than the other two sides combined. But…
Education
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National Mathematical Year 2012: What India Promised Ramanujan and What It Actually Delivered
In December 2011, India declared 2012 as National Mathematical Year to honor Ramanujan's 125th birthday. I wrote at the time…
The Quest for a Prime Number Formula: Why It’s Harder Than You Think
Mathematicians have spent centuries trying to find a formula that generates all prime numbers. Euler's n²+n+41 works for 40 values…
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'll teach…
Equations: A Basic Introduction
Equations are the reason we can solve problems in seconds that would take hours of guesswork. I cover the basics:…
Numbers – The Basic Introduction
Numbers are the alphabet of mathematics. But here's what most people never learn: all the complex numbers you encounter, from…
Mathematical Logic: The Foundation Everything Else Builds On
Logic is the grammar of mathematics. Without logical precision, you can't communicate ideas or verify they're correct. Propositions, truth tables,…
Fermat Numbers (Important Theorems & Examples)
Fermat was convinced he'd found an infinite source of primes. He was wrong. His formula n^2 + n + 41…
Three Children, Two Friends and One Mathematical Puzzle
This logic puzzle about three children and two friends is one of my favorites. It looks simple. Then you realize…
6 Best Social Networks for Math Majors
Math majors need communities, not just textbooks. From Math Stack Exchange and MathOverflow to Mathstodon, ArXiv and the math blogosphere,…
Vedic Multiplication: Do you multiply this way!
Before college, I multiplied numbers the boring way. Then I discovered Vedic multiplication in a Hindi magazine called 'Bhaskar Bhoomi.'…
Russian Peasant Multiplication: The Ancient Method That Uses Only Doubling and Halving
Russian Peasant Multiplication is an ancient technique that multiplies any two numbers using only doubling and halving. No multiplication tables…