Philosophy
Platonist Roger Penrose “Sees” Mathematical Truths
What does Roger Penrose mean when he claims to “see” mathematical truths?
Latest
Galileo
A Practical Guide To Making A Scientific Breakthrough
Albert Einstein has been one of the most celebrated scientists of all time. It is funny, that his ideas are also, among the most difficult…
PDE
Laplace’s Equation
Flows and fields
Applied Mathematics
How Control-Allocation for Multirotor Systems Works
A mathematical explanation of how drones function.
Geometry
How Aristarchus Found the Size of the Moon
How big are you, my precious Moon?
Number Theory
The Powers of Two: An Introduction
An introduction and index to an article series on the properties of and patterns in the powers of two
Feynman
Richard Feynman’s Advice to a Young Stephen Wolfram (1985)
«You don’t understand “ordinary people”. To you they are “stupid fools”» Entrepreneur Stephen Wolfram is a unique egg. By age 14, he had written three books on particle physics. He earned his Ph.D. at age 20 and began publishing research papers at the age of 18, some of
Geometry
The Central Angle Theorem
In geometry, a central angle subtended by the arc is twice much as any inscribed angle of the same arc.
Applied Mathematics
Algorithmic Trust Anyone?
The Apple Pie Problem
History
How Eratosthenes Calculated the Circumference of The Earth
How big are you, my Earth?
Arithmetic
Multiplication is Repeated Addition
The strange debate and controversy in K-12 math education
Number Theory
Convert Numbers Between Numeral Systems Using Logarithms
What one would do to find the representation of a number written in one base to some another would probably be to take a look at the…