Definitions and Types of Integral Equations
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…
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.
Complete Elementary Analysis of Nested radicals
This is a continuation of the series of summer projects sponsored by department of science and technology, government of India. In this project work, I…
Hopalong Orbits Visualizer: Stunning WebGL Experiment
I just discovered Barry Martin’s Hopalong Orbits Visualizer — an excellent abstract visualization, which is rendered in 3D using Hopalong Attractor algorithm, WebGL and Mrdoob’s…
Study Notes on Real Sequences (Definitions and Examples)
In this study note, I have discussed and explained about real sequences — a very important topic in Real Analysis and Calculus. I will cover…
Euler’s (Prime to) Prime Generating Equation
The greatest number theorist in mathematical universe, Leonhard Euler had discovered some formulas and relations in number theory, which were based on practices and were…
Irrational Numbers and The Proofs of their Irrationality
How do you prove a number is irrational? You can’t just look at a number and declare it irrational. You can’t check infinitely many decimal…
The Area of a Disk
The area of a disk with radius \( R \) is \( \pi R^2 \). You probably memorized this in middle school. But do you…
Triangle Inequality
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…
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…
Welcome 2012 – The National Mathematical Year in India
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.…
Claim for a Prime Number Formula
Dr. SMRH Moosavi has claimed that he had derived a general formula for finding the $ n$ -th prime number. More details can be found…
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…
