How to convert Integral Equations into Differential Equations?
We've covered integral equation basics and the trial method. Now comes the interesting part: going in reverse. Converting integral equations…
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.
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7 Best College Search Engines in India (2026 Tested)
India has 1,100+ universities and 43,000+ colleges. These seven search engines let you filter by course, location, fees, and rankings.…
A Possible Proof of Collatz Conjecture
A reader sent me something bold: a claimed proof of the Collatz Conjecture. Eswar Chellappa spent nearly ten years working…
15 Best Online Communities a Math Major Should Join
Math communities aren't just forums. They're where you sharpen your thinking against other sharp minds. I've curated 15 online communities…
Functional Analysis: Essential Definitions From Normed Spaces to Hilbert Spaces
Functional analysis is where linear algebra meets topology. It's the mathematical backbone of quantum mechanics, signal processing, and machine learning.…
Symmetry in Physical Laws
Symmetry in physics isn't just about visual balance. It means an operation leaves physical laws unchanged. I explain the deep…
TeXstudio Review 2026: A Free LaTeX Editor, Worth It?
I first installed TeXStudio in 2012. 'Peaceful' was the word I used to describe it, and that hasn't changed through…
Top 10 ways to dominate your final exams
Your final exams are approaching. Are you ready to score memorable grades? I share ten proven strategies to dominate your…
Macrostates and Microstates and their relations with Thermodynamic Probability
The difference between macrostates and microstates confused me for months in statistical physics. Then a concrete example made everything click.…
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…
How students’ brains like to be treated during an exam revision
Your brain needs specific treatment during exam revision, and most students get it wrong. I explain how memory formation works,…
Square Integrable Functions, Norms, and the Trial Method
Part II of the integral equations series. Covers L2 spaces, inner products, norms, Schwarz inequality, and solving integral equations by…