Geometry
Visualizing Mathematical Equations and Operations
Capture the Essence of an Equation and Solve it Visually by Using Mathematical Graphs
Analysis
Series
The Mind-Boggling Properties of the Alternating Harmonic Series
Riemann’s simple algorithm to approximate computationally any real number
Series
The Basel Problem: 1+1/2² + 1/3² +… = π²/6
Solving the Basel problem, using an elementary introduction to Fourier series! Part 0: Motivation, some History, and Welcome! Hello and welcome! We are going to be tackling a beautiful problem, the ‘Basel Problem’. It was posed in 1650 by Pietro Mengoli, and it took 84 years to solve it, when
Analysis
The Chessboard Puzzle and the Mathematics of Invariants
Here we crack a tricky yet simple problem at the intersection of computer science and mathematics. It also gives a lovely insight into how…
Analysis
Distributions: What Exactly is the Dirac Delta “Function”?
The theory of distributions , also known as generalized functions, often remains something of an enigma…
Popular Science
A Totally New, Very Old Method for Finding Square Roots
A new iterative method to approximate square roots — actually shown to be centuries old!
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.
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.
Analysis
This Math Problem Will Test Your Attentiveness To Detail
Are positive numbers and their negative counterparts equal?
Analysis
Mathematics Analysis For Coders
An intro to mathematical analysis, using ideas familiar to coders
Prime Numbers
Erdős’ Proof of the Infinitude of Primes
Let’s take a look at an unusual proof that there are infinitely many prime numbers.
Analysis
The Link Between Hypothesis Testing and Proof by Contradiction
Hypothesis testing has some similarities with one of the simplest methods of proof from mathematical logic: Proof by contradiction…