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…
Math
Mathematics Blog by Gaurav Tiwari. This section is dedicated to exploring various mathematical concepts and theories, transcending the boundaries of traditional high school and early college curriculums.
The mathematics topics here encompass various subfields, including algebra, calculus, number theory, geometry, topology, and more.
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…
Three Children, Two Friends and One Mathematical Puzzle
This is one of my favorite logic puzzles. It looks simple at first. Then you realize you’re missing something. And when the solution clicks, it’s…
6 Best Social Networks for Math Majors
Are you a math major looking for some social networks to join? If you are one, you are at the right place. In this article,…
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.…
How Genius You Are?
Let have a Test: You need to make a calculation. Please do neither use a calculator nor a paper. Calculate everything “in your brain”. Take…
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…