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.
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Every differential equation can be converted into an integral equation. Just integrate it. Sounds too simple, right? The details matter though. I walk through the conversion process step by step,…
Your brain needs specific treatment during exam revision, and most students get it wrong. I explain how memory formation works, why cramming fails, and what neuroscience says about effective study…
Building on integral equation fundamentals, this article covers square integrable functions, norms, and the trial method for solving integral equations. I explain L2 spaces, why they matter for integral equation…
Integral equations look intimidating, but they're built from ideas you already know. I explain what integral equations are, their classification system (Fredholm vs Volterra, first vs second kind), and how…
Exam preparation isn't just about studying harder. It's about studying smarter. I cover practical strategies for managing your nervous system, timing your revision, structuring your answers, and maintaining physical health…
I wrote this analysis in 2010 at age 17, obsessed with Ramanujan's nested radicals while studying under the INSPIRE-SHE scholarship. Fifteen years later, the mathematics still holds up. This complete…
Barry Martin's Hopalong Orbits Visualizer is a stunning WebGL experiment that renders abstract mathematical art in 3D. Using the Hopalong Attractor algorithm and three.js, it transforms simple equations into mesmerizing…
Real sequences form the backbone of real analysis and advanced calculus. I've taught this topic to dozens of students, and the key is grasping what sequences represent: ordered lists of…
Drop a ball through a tunnel drilled straight through Earth. It won't fall forever. It'll oscillate back and forth, popping out on the other side in exactly 42 minutes. Every…
Euler discovered a simple formula that generates 40 consecutive prime numbers: n squared plus n plus 41. Plug in 0 through 39 and every output is prime. I explore why…
Ensembles in statistical physics are collections of macroscopically identical but essentially independent systems. I explain the three main types: microcanonical, canonical, and grand canonical ensembles, their defining properties, and when…
This paper presents a statistical analysis of 20 years of meteorological data from the Pantnagar weather station in Uttarakhand, India. Conducted under the INSPIRE-SHE Scholarship Program, the research examines temperature,…
