Mathematical Logic – The basic introduction
Logic is the grammar of mathematics. You can have brilliant mathematical intuition, but without logical precision, you can't communicate your…
Education
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Subcategories of Education
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…
Three Children, Two Friends and One Mathematical Puzzle
This logic puzzle about three children and two friends is one of my favorites. It looks simple. Then you realize…
6 Best Social Networks for Math Majors
Math majors need communities, not just textbooks. I've found six social networks specifically designed for mathematics enthusiasts. These platforms let…
Vedic Multiplication: Do you multiply this way!
Before college, I multiplied numbers the boring way. Then I discovered Vedic multiplication in a Hindi magazine called 'Bhaskar Bhoomi.'…
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…
How Genius You Are?
Think you're good at mental math? Try this quick test. Start with 1000, add 40, add another 1000, add 30,…
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 Non-differentiable Function
Weierstrass shocked the mathematical world in 1872 by constructing a function that's continuous everywhere but differentiable nowhere. Not at a…
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:…
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.…