Types of Numbers in Mathematics: Rational, Irrational, Real, and Complex Numbers
Numbers are the alphabet of mathematics. But here's what most people never learn: all the complex numbers you encounter, from…
Math
Mathematics Blog by Gaurav Tiwari. This section is dedicated to exploring various mathematical concepts and theories, transcending the boundaries of traditional high school and early college curriculums.
The mathematics topics here encompass various subfields, including algebra, calculus, number theory, geometry, topology, and more.
Mathematical Logic: The Foundation Everything Else Builds On
Logic is the grammar of mathematics. Without logical precision, you can't communicate ideas or verify they're correct. Propositions, truth tables,…
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…
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…
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…