Fermat Numbers (Important Theorems & Examples)
Fermat was convinced he'd found an infinite source of primes. He was wrong. His formula n^2 + n + 41…
Education
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6 Best Social Networks for Math Majors
Math majors need communities, not just textbooks. From Math Stack Exchange and MathOverflow to Mathstodon, ArXiv and the math blogosphere,…
Vedic Multiplication: Do you multiply this way!
Learn Vedic multiplication through place-value algebra, a verified 498 x 753 trace, reproducible error cases, progressive practice questions, and independent…
Russian Peasant Multiplication: The Ancient Method That Uses Only Doubling and Halving
Russian Peasant Multiplication is an ancient technique that multiplies any two numbers using only doubling and halving. No multiplication tables…
Genius IQ Test: And What It Says About Intelligence
Most people get this simple addition problem wrong: 1000 + 40 + 1000 + 30 + 1000 + 20 +…
Fox-Rabbit Chase Problem [Solution & Math Proof]
Pursuit problems are some of the most elegant challenges in classical mechanics. A fox chases a rabbit, both moving at…
Everywhere Continuous, Nowhere Differentiable: The Weierstrass Function
In 1872, Weierstrass presented a function that's continuous everywhere but differentiable nowhere. It shattered the assumption that smooth curves are…
10 Memory Methods to Revise and Remember Better
Memory isn't fixed. You can train it. I've compiled ten practical methods to improve how you retain and recall information:…
Best Free Online Calculus Text Books
I've spent years collecting free calculus textbooks. Not scanned copies with missing pages. Real textbooks that professors and universities have…
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.…
20+ Best Free Algebra Books for Students and Teachers
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: Study Guide, Formula, Examples & Failure Cases
The D'Alembert Ratio Test is one of the most reliable tools for determining whether an infinite series converges or diverges.…