How Genius You Are?
Let have a Test: You need to make a calculation. Please do neither use a calculator nor a paper. Calculate everything “in your brain”. Take…
Two Interesting Math Problems
Problem1: Smallest Autobiographical Number: A number with ten digits or less is called autobiographical if its first digit (from the left) indicates the number of…
Fox-Rabbit Chase Problem [Solution & Math Proof]
Pursuit problems are some of the most elegant challenges in classical mechanics. Two objects moving, one chasing, the other evading. The math gets surprisingly deep.…
Everywhere Continuous Non-differentiable Function
Weierstrass introduced a shocking idea in 1872. There exist functions that are continuous everywhere but differentiable nowhere. Not just at a few points. At no…
10 Memory Methods to Revise and Remember Better
Memory is the human ability to store, retain, and recall information when needed. Instead of getting lost in technical definitions, let’s explore ten practical methods…
Free Online Calculus Text Books
I’ve spent years collecting free math resources, including a variety of calculus text books. Not the sketchy PDFs from torrent sites. Not the scanned copies…
Dedekind’s Theory of Real Numbers
Let $ \mathbf{Q}$ be the set of rational numbers. It is well known that $ \mathbf{Q}$ is an ordered field and also the set $…
20+ Free Algebra Books for Students & Teachers (PDF Ebooks)
Looking for Free Algebra and Topology PDF E-books? I’ve compiled a comprehensive list of high-quality, free e-books covering Algebra, Topology, and other related mathematics topics.…
D’Alembert’s Ratio Test of Convergence of Series
The D’Alembert Ratio Test is one of the most useful tools for determining whether an infinite series converges or diverges. If you’re studying real analysis…
Jablonski Diagram – Consequences of Light Absorption
When a molecule absorbs light, something has to happen to that energy. It doesn’t just disappear. The molecule can use it for a chemical reaction.…
Essential Steps of Problem Solving in Mathematical Sciences
Problem solving is more than just finding answers. Learning how to solve problems in mathematics is simply to know what to look for. Mathematics problems…
Bhaskara II’s Lilavati: The Complete Reference Guide
Lilavati is a 12th-century mathematics treatise that reads like poetry. Written by Bhaskara II (also known as Bhaskaracharya), it wraps arithmetic, algebra, and geometry inside…
