Analysis
Matchings in Bipartite Graphs and the Kőnig-Egerváry Theorem via LP Duality
We discuss how we can compute Maximum Matchings in bipartite graphs, and why these are equal to Minimum Vertex Covers.
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Analysis
A Comprehensible Introduction To Mathematical Induction
Since you’ve come here, chances are you need to learn about mathematical induction. You probably couldn’t care any less about it, but your nagging teacher makes you learn it anyway.
Abel
The Mozart of Mathematics — Niels Henrik Abel
“Although Abel shared with many mathematicians a complete lack of musical talent, I will not sound absurd if I compare his kind of…
Analysis
This Math Problem Will Test Your Attentiveness To Detail
Are positive numbers and their negative counterparts equal?
Probability Theory
Probability and Borel Sets
On the modern definition of probability
Complex Analysis
Euler’s Fabulous Formula
Here we investigate and understand the brilliant formula which unlocks the power of complex numbers.
Number Theory
The Celebrated Harmonic Numbers and How to Approximate Them
We discuss the famous harmonic sum and describe a simple way to approximate it.
Probability Theory
The Coupon Collector Problem
We discuss the well-known Coupon Collector problem, and provide two ways of computing the probability of winning.
Probability Theory
What is the Probabilistic Method?
On proving that things exist without constructing them
Logic
What is the Axiom of Choice?
Here’s a fun 2-minute guide to the infamous Axiom of Choice, one of the stranger mathematical curiosities.
Analysis
Mathematics Analysis For Coders
An intro to mathematical analysis, using ideas familiar to coders
Game Theory
Implications Of Cheating In a Relative Grading System
Using Distributions and Game Theory