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 with missing pages. Real Calculus…
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Dedekind’s Theory of Real Numbers
Most math students encounter real numbers without ever seeing how they’re actually constructed. You use \( \pi \) and \( \sqrt{2} \) throughout calculus, but nobody explains what these objects…
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. These resources are ideal for…
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 or calculus, you’ll use this…
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. It can release it as…
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 often require established procedures. To…
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 riddles about bees, snakes, peacocks,…
Un-Popular circumstances connected with Most Popular, Theory of Relativity
Henry Poincaré was trying to save the Old classical theory of Physics by Suitable Adjustments & Modifications in it. When the experiments, like Michelson Morley Experiment, in search of the…
The Collatz Conjecture: Unsolved but Useless
Pick any positive integer. If it’s even, halve it. If it’s odd, triple it and add one. Repeat. You’ll always end up at 1. That’s the Collatz Conjecture. It sounds…
Dirichlet’s Theorem and Liouville’s Extension of Dirichlet’s Theorem
The Gamma function is one of the most important special functions in mathematics. It extends the factorial to non-integer values. The Beta function is its close relative, and together they…
The Lindemann Theory of Unimolecular Reactions
Bimolecular reactions make sense. Two molecules collide, bonds break, new bonds form. Simple. But unimolecular reactions? A single molecule just… reacts? Where does the energy come from? This puzzle bothered…
Mystery of Missing Money – 1 Rupee by Shakuntala Devi
Two women sell marbles at a market. One charges 3 marbles for ₹1. The other charges 2 marbles for ₹1. They each have 30 unsold marbles at the end of…