Numerical Analysis
Deriving the Quadratic Equation From the Roots Up
Solving Quadratics using gradients at the roots
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Pragmatism
Probability for Pragmatists
What does it mean that a probability is “correct” and how could you possibly know?
Puzzle
Forever Lost Within Reach
The Lost Twins Experiment
Proof Theory
Methods of Proof for Every Occasion
Three essential proof techniques, followed by many not-so-essential
Prime Numbers
The Goldbach Conjecture
An Equivalent Formulation of an Unsolved Mystery
Quantum Mechanics
A Layperson’s Guide To Quantum Effects
You expect the physical world around you to behave a certain way. If you knock a glass off the table, it will fall to the floor and likely shatter. How do you know this? Primarily from everyday experience, which your brain distills into your intuition. Once you’ve seen enough
Proof Theory
A Simple Proof of the Quadratic Formula Using Symmetry
You Don’t Need to Remember the Formula
Number Theory
The Euler Totient Function
A Probabilistic Approach
Statistics
Do Masses of Fundamental Particles Follow Benford’s Law?
How a statistical test used to uncover tax frauds may help us find an explanation to a long-standing puzzle in particle physics
Numerical Analysis
Sextic Polynomials — A Practical Approach
At a young age a builder taught me how to mark out a right angle using the 3,4,5 triangle rule with a tape measure. That math practicality has stuck with me and recently I have been working to decipher it into its ‘LEGO block’ constituents to increase intuitive
Analytic Number Theory
The Abel Summation Formula
Sums, Integrals, and Series
History
You Can (Literally) Count On Me
The History of the Abacus