Quantum Electrodynamics
How Richard Feynman Reinvented Quantum Theory
The Space-Time Approach to Quantum Mechanics
Quantum Electrodynamics
The Space-Time Approach to Quantum Mechanics
Hardy
occasionally let slip that I am an academic great-grandchild of G.H. Hardy, whose non-technical writings about mathematics, in particular A Mathematician’s Apology are often quoted in general discussions of the nature of mathematics. Here I give my personal thoughts related to four of these well known quotations. These
Riemann Hypothesis
Real math about a fictional object.
Quantum Physics
The Catastrophic Consequences of Living in a Universe with a False Vacuum
Series
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
Chemistry
So, how does it melt the ice?
Fractal
A Discussion of Fractals
Philosophy
Platonism and Applied Mathematics
Kepler
How ‘vector interpretation’ of Kepler’s second law hints at the presence of gravitational force between the Sun and a planet
Calculus
And Deriving a Beautiful Identity in the Process
Logic
Firstly we can say that logical identity is reflexive. In other words, everything (or every thing) is identical to itself. In symbols: ∀x (x = x) To translate: For every x (or for every thing), x must equal x (or everything must be identical to itself). That is, everything has the
Gödel
“The examiner was intelligent enough to quickly quieten Gödel and say ‘Oh god, let’s not go into this’ and broke off the examination at this point, greatly to our relief” — Oskar Morgenstern Kurt Gödel (1906–1978) was the greatest logician who ever lived. At the age of 24, he