Dedekind’s Theory of Real Numbers
Most math students use real numbers without ever understanding how they're constructed. Dedekind solved this with his theory of cuts.…
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.
Explore expert insights, study guides, and career advice tailored for students, educators, and lifelong learners. From exam preparation strategies to advanced learning techniques, this section covers everything you need to excel academically and professionally. Whether you’re preparing for competitive exams like IIT-JEE, exploring online learning platforms, or diving into subjects like math, physics, and science, you’ll find practical tips and in-depth resources here. Stay ahead with the latest trends in education, sharpen your problem-solving skills, and unlock new opportunities for growth. Let’s make learning smarter, more effective, and accessible for everyone!
20+ Free Algebra Books for Students & Teachers (PDF Ebooks)
I've compiled 20+ free algebra and topology ebooks. Not sketchy PDFs from torrent sites. Real textbooks that professors and universities…
D’Alembert’s Ratio Test for Convergence of Series
The D'Alembert Ratio Test is one of the most reliable tools for determining whether an infinite series converges or diverges.…
Jablonski Diagram: Energy Levels, Fluorescence & Phosphorescence Explained
The Jablonski diagram maps what happens to a molecule after it absorbs light. Fluorescence, phosphorescence, internal conversion, intersystem crossing —…
How to Solve Math Problems: Polya’s Method and Beyond
George Polya's four-step method has guided mathematicians since 1945. Understand the problem, devise a plan, carry it out, look back.…
Bhaskara II’s Lilavati: Complete Reference Guide (Download PDF)
Lilavati is a 12th-century mathematics treatise that reads like poetry. Written by Bhaskara II, it wraps arithmetic, algebra, and geometry…
Poincare and Einstein: Who Really Discovered Relativity?
Poincare had the math. Einstein had the physics. The story of how two thinkers arrived at the same transformations from…
The Collatz Conjecture: The Simplest Problem Nobody Can Solve
Pick any positive integer. If it's even, halve it. If it's odd, triple it and add one. Repeat. You always…
Dirichlet’s Theorem and Liouville’s Extension of Dirichlet’s Theorem
The Dirichlet theorem connects the Gamma and Beta functions to evaluate complex multiple integrals. Liouville extended it further, making it…
The Lindemann Theory of Unimolecular Reactions
Unimolecular reactions seem impossible. A single molecule just reacts on its own? Where does the energy come from? Lindemann solved…
Mystery of Missing Money – 1 Rupee by Shakuntala Devi
Shakuntala Devi's missing money puzzle is a classic in mathematical logic. Two women sell marbles at different rates. When they…
The Poincare Conjecture: The Problem That Made a Mathematician Refuse a Million Dollars
In 1904, Poincare asked: if every loop on a 3D shape can be shrunk to a point, must it be…