Astrophysics
The Speed Of Light
Have you thought much about the speed of light and its implications? If not, you really should. Therein lie marvels.
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Pi
Approximating Pi Using Needles
A simple experiment to approximate π
Infinity
Number Of Numbers: Infinite Weirdness
How many numbers of each type are there? Can two infinities be equal? Can one infinity be larger than another infinity?
Physics
A No-Nonsense Introduction to the Physics of the Big Bang
An Introduction to Cosmology and the Birth of the Universe
Fibonacci
How Fibonacci Can Help Us Convert Between Miles and Kilometers
This interesting math trick arises from an interesting empirical observation and the Fibonacci sequence.
Logic
Mind vs. Machine: A Philosophical Corollary of Gödel’s Incompleteness Theorem
Canadian mathematician Simon Kochen recalled in his tribute to Kurt Gödel how during his PhD exam, he was asked to name five of Gödel’s theorems. The essence of the question was that each of the theorems either gave birth to a new branch of, or revolutionized, modern mathematical logic.
Chaos Theory
A Gentle Introduction to Chaos Theory
Why the Butterfly Effect is not the whole story
Euler
From Derangement To Euler’s Number
How e can rise from combinatorics
Quantum Electrodynamics
Looking at quantum circuit simulators
This one is a bit technical. If you’re feeling rusty on your QC fundamentals, don’t read it. Save it. Bookmark this article for later when you’ve brushed up. You’ll be glad you did, especially if you want to understand QCS.
Calculus of Variations
Introduction to the Brachistochrone Problem — Finding the Time to Slide Along a Path
It seems like the most common introduction to the Calculus of Variations is to talk about the Brachistochrone problem. It goes like this.
Number Theory
Two Palindromes
Two integers differ by 22. Each, when multiplied by its successor, yields an eight-digit palindrome. What is the smaller of the two?
Probability Theory
Concentration of Measure: The Glorious Chernoff Bound
..and how to derive it