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.
In this article, I will teach you about Square Integrable Functions, Norms and the solution of Integral Equations by the trial method. Don't forget to refer: Definitions and Types of…
In this article, I will explain what Integral Equations are, how they are structured and what are certain types of Integral Equations. What is an Integral Equation? An integral equation…
I wrote this project in 2010. I was 17 years old, studying mathematics sponsored by the INSPIRE-SHE scholarship program, and completely obsessed with a dead Indian mathematician who'd changed the…
A comprehensive guide with practical insights and actionable advice.
Real sequences form the backbone of real analysis and much of advanced calculus. I've taught this topic to dozens of students over the years, and I've found that the key…
Leonhard Euler discovered something that shouldn't work. A simple formula that spits out prime numbers. Not just a few of them. Forty consecutive primes from a single quadratic equation. The…
A comprehensive guide with practical insights and actionable advice.
The area of a disk with radius \( R \) is \( \pi R^2 \). You probably memorized this in middle school. But do you know why it's true? Most…
The triangle inequality is one of those results that sounds obvious until you try to prove it rigorously. Here's the geometric intuition: no side of a triangle can be longer…
I was very pleased on reading this news that Government of India has decided to celebrate the upcoming year 2012 as the National Mathematical Year. This is 125th birth anniversary…
Dr. SMRH Moosavi has claimed that he had derived a general formula for finding the $ n$ -th prime number. More details can be found here at PrimeNumbersFormula.com and a…
A comprehensive guide with practical insights and actionable advice.
