TeXstudio Review: The Most Complete Free LaTeX Editor in 2026
I first installed TeXStudio in 2012. 'Peaceful' was the word I used to describe it, and that hasn't changed through…
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.
How to change Differential Equations into Integral Equations?
Every differential equation can be converted into an integral equation. Just integrate it. Sounds too simple, right? The details matter…
Square Integrable Functions, Norms, Trial Method in Integral Equations
Building on integral equation fundamentals, this article covers square integrable functions, norms, and the trial method for solving integral equations.…
Definitions and Types of Integral Equations
Integral equations look intimidating, but they're built from ideas you already know. I explain what integral equations are, their classification…
Complete Elementary Analysis of Ramanujan’s Nested radicals
I wrote this analysis in 2010 at age 17, obsessed with Ramanujan's nested radicals while studying under the INSPIRE-SHE scholarship.…
Hopalong Orbits Visualizer: Stunning WebGL Experiment
Barry Martin's Hopalong Orbits Visualizer is a stunning WebGL experiment that renders abstract mathematical art in 3D. Using the Hopalong…
Real Sequences: Definitions, Theorems, and Examples
Real sequences form the backbone of real analysis and advanced calculus. I've taught this topic to dozens of students, and…
Euler’s (Prime to) Prime Generating Equation
Euler discovered a simple formula that generates 40 consecutive prime numbers: n squared plus n plus 41. Plug in 0…
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…
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…
Triangle Inequality
The triangle inequality sounds obvious. No side of a triangle can be longer than the other two sides combined. But…
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…