Math and Physics
Here are some links to articles related to math and physics that looked interesting to me. I have not read all of them, and some are behind paywalls.
If you have other suggestions, or if I am sharing information without giving proper credit, or providing information that should not be shared, please let me know.
2026
The Beautiful Simplicity of DeMoivre’s Theorem. This simple special case of Euler’s identity is both pretty and useful. Keith McNulty, Medium, January 1, 2026.
2025
Magnets: How Do They Work? Modeling With Physics and Python. Rhett Allain, Medium, December 30, 2025.
How physics literally drives you around the bend if you want to travel to other planets. The tyranny and usefulness of gravity. Marco Capriz, Medium, December 30, 2025.
Can a Polynomial be Indivisible Like a Prime Number? Extending the concept of prime numbers to polynomials. Keith McNulty, Medium, December 27, 2025.
The tyranny of Physics: how two equations strictly govern how we go to space. Part 2: The Vis Viva equation. Marco Capriz, Medium, December 19, 2025.
The tyranny of Physics: how two equations strictly govern how we go to space. Part 1: Tsiolkovsky’s rocket equation. Marco Capriz, Medium, December 19, 2025.
The Truth Physics Can No Longer Ignore. The fundamental nature of living things challenges assumptions that physicists have held for centuries. Adam Frank, The Atlantic, December 15, 2025.
Matrix Multiplication Made Easy. Irene Markelic, Medium, November 16, 2025.
A geometric Interpretation of the Multivariate Gaussian distribution. Ameh Emmanuel Sunday, Medium, November 13, 2025.
How these physical formats worked and why today’s versions look so bulky. Why vinyl, cassettes and CDs gave sound a physical presence that streaming still can’t imitate. Kartscrut, Medium, November 11, 2025.
Physics Lab: Measure the Charge to Mass Ratio for the Electron. Rhett Allain, Medium, November 8, 2025.
The Pi Proof: Why Straight Lines Are an Illusion. The Genesis of a Cosmic Mystery. AnubhavX, Medium, November 7, 2025.
Magnetic Fields: From Lines to Loops to Solenoids. Rhett Allain, Medium, November 3, 2025.
What Is the Electric Displacement Field and How Does It Cheat Physics? Rhett Allain, Medium, October 22, 2025.
Rubber Band Physics: Measuring Weight* and Mass. Rhett Allain, Medium, October 6, 2025.
The Big Bang doesn’t mean what it used to. As we gain new knowledge, our scientific picture of how the Universe works must evolve. This is a feature of the Big Bang, not a bug. Ethan Siegel, Medium, September 30, 2025.
Physicists find a loophole in Heisenberg’s uncertainty principle without breaking it. Larissa G. Capella, LiveScience, September 28, 2025.
The Weighty Problem of Defining Mass. Why Defining Mass Is Hard. Marco Capriz, Medium, September 20, 2025.
Bayes’ Theorem for Humans: The Math Trick Behind Better Thinking. Kalle Georgiev, Medium, September 16, 2025.
A detailed visual explanation of how Lagrange multipliers work in constrained optimization. Ameh Emmanuel Sunday, Medium, September 8, 2025.
What Is the Fourier Transform? Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, decomposes any function into its parts. Shalma Wegsman, Quanta magazine, September 3, 2025.
What can destroy a black hole? Tim Andersen, Substack.com, September 3, 2025.
Linear Regression for Humans: Predicting the Future in Plain English. A friendly guide to understanding linear regression and how to actually explain it. Kalle Georgiev, Medium, August 31, 2025.
The Basis for Linear Algebra. The linear transformations of vector spaces with coordinate axes defined by basis vectors! Prasanna Sethuraman, Medium, August 27, 2025.
What, Exactly, is Bayes’ Theorem? How to Make Better Decisions. Cole Frederick, Medium, August 24, 2025.
GPT-5 Invented New Maths : Is this AGI? GPT-5 solved the unsolvable. Mehul Gupta, Medium, August 23, 2025.
What Is the √i ? The imaginary unit i is equal to the √-1. Here’s a step-by-step visual guide to solving for its square root. Harlan Brothers, Medium, August 21, 2025.
Long-Range Walk Between Order and Chaos. How Dipolar Interactions Turn Quasicrystals Into Laboratories for Exotic Localization. Paolo Molignini, Medium, August 13, 2025.
Never Use a Calculator for Square Roots Again. Square Roots Made Ridiculously Fast. Nnamdi Samuel, substack.com, August 7, 2025.
Calculating Geometry And Calculus With The Fundamental Principle Of Counting. The Birth of a New Mathematical Approach That Could Transform Algebra. AnubhavX, Medium, August 5, 2025.
Subspace to Super Resolution — Part I. Vandermonde and the Complex Exponentials. Prasanna Sethuraman, Medium, August 1, 2025.
Breakthrough Proof Brings Mathematics Closer to a Grand Unified Theory after More Than 50 Years of Work. The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore. Ananyo Bhattacharya & Nature magazine, Scientific American, July 21, 2025.
Probability distributions — A deeper look. Intuition, basic Math & application in models like Stable diffusion & GMM clustering. This is Part II of Random Variables & Prob Distributions. Allohvk, Medium, July 11, 2025.
Why on Earth Does 0!=1? Here are several ways to make sense of this unintuitive fact. Harlan Brothers, Medium, July 8, 2025.
Can You Understand These 4 High Level Simpson Math Jokes? How on earth is 8i equal to INFINITY? BL, Medium, July 2, 2025.
Math, Revealed: Bowling for Nobels. How a centuries-old math puzzle helped us see inside the human brain. Steven Strogatz, The New York Times, June 30, 2025.
Math, Revealed: Let’s Get Packing! How bees, beer cans and big data all solve the same problem: not enough space. Steven Strogatz, The New York Times, June 23, 2025.
Math, Revealed: Navel Gazing and the Golden Ratio. What an apple, a pentagram and a belly button have in common. Steven Strogatz, The New York Times, June 16, 2025.
Math, Revealed: Taxicab Geometry. Welcome to a city where pi equals 4 and circles aren’t round. Steven Strogatz, The New York Times, June 9, 2025.
Physics Made Easy — Demystifying the Euler Lagrange Equation. Ameh Emmanuel Sunday, Medium, June 27, 2025.
Random Variables & Probability Distributions explained. Intuition, Basic Math & application in AI/M. Allohvk, Medium, June 20, 2025.
How Do Computers Compute Derivatives? Computing Macroxela, Medium, June 18, 2025.
A deep dive into vector spaces: The essence and core meaning of Eigenvalues, Eigenvectors and the Eigendecomposition. Ameh Emmanuel Sunday, Medium, May 26, 2025.
Hooked on e. How a number can change your life. Harlan Brothers, Medium Science Spectrum, May 20, 2025.
Weird but True: i^i Is a Real Number. A step-by-step explanation of why the imaginary unit raised to an imaginary power is a real number. Harlan Brothers, Medium, May 13, 2025.
A Visual Understanding of Neural Networks. The math behind neural networks visually explained. Reza Bagheri, Medium, Jan. 11, 2025.
See, also: Quantum