Irrational Numbers and The Proofs of their Irrationality
How do you prove a number is irrational? You can't check infinitely many decimal places. You need a proof. I present the classic proofs of irrationality for square root of…
Education
Gaurav Tiwari is one of the top Education bloggers online, specializing in exam preparation, online learning and career development. Read these articles to prepare yourself for college and beyond. Plus, learn to earn, save and grow yourself.
Explore expert insights, study guides, and career advice tailored for students, educators, and lifelong learners. From exam preparation strategies to advanced learning techniques, this section covers everything you need to excel academically and professionally. Whether you’re preparing for competitive exams like IIT-JEE, exploring online learning platforms, or diving into subjects like math, physics, and science, you’ll find practical tips and in-depth resources here. Stay ahead with the latest trends in education, sharpen your problem-solving skills, and unlock new opportunities for growth. Let’s make learning smarter, more effective, and accessible for everyone!
Subcategories of Education
The Area of a Disk
The area of a disk is pi times radius squared. You memorized this in middle school. But do you know why it's true? Most people don't. I show you the…
Triangle Inequality
The triangle inequality sounds obvious. No side of a triangle can be longer than the other two sides combined. But proving it rigorously is where things get interesting. I cover…
Welcome 2012 – The National Mathematical Year in India
India declared 2012 as the National Mathematical Year to celebrate Srinivasa Ramanujan's 125th birth anniversary. The government honored one of history's greatest self-taught mathematicians whose contributions to number theory, infinite…
Claim for a Prime Number Formula
Dr. SMRH Moosavi has claimed to derive a general formula for finding the nth prime number. I present his claim, the formula, and the surrounding mathematical context. Whether this constitutes…
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 you a genuine mathematical formula that works for any date…
Equations: A Basic Introduction
Equations are the reason we can solve problems in seconds that would take hours of guesswork. I cover the basics: what equations are, how they work, types of equations, and…
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 imaginary numbers to quaternions, are built from a few simple…
Mathematical Logic – The basic introduction
Logic is the grammar of mathematics. You can have brilliant mathematical intuition, but without logical precision, you can't communicate your ideas or verify they're correct. I walk you through propositions,…
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 produces primes for the first 40 values, then fails spectacularly.…
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 you're missing something. I've used it to teach logical reasoning…
6 Best Social Networks for Math Majors
Math majors need communities, not just textbooks. I've found six social networks specifically designed for mathematics enthusiasts. These platforms let you discuss proofs, share problems, collaborate on research, and connect…