Pythagoras of Samos (569-500 BCE) was an actual person, but was also the founder of the Pythagoreans. He was a political figure and a mystic. Beyond this, he stood out in his time as he involved women as equals in his activities. The Pythagorean society focused on mathematics, but also had some religious properties which include […]Read more "Pythagoras and the Square Root of 2"
The prisoner’s dilemma is a very popular situation in crime fiction, and can be found in many areas of real life. It originated from Merrill Flood and Melvin Dresher, however Albert Tucker is credited for formalizing it into its current form. So let us take a look. Two criminal partners, A and B, are arrested […]Read more "The Prisoner’s Dilemma"
This is the third and final post on the volume of a sphere. The other two can be accessed by the following links, “Coordinates in 3-Space” and “The Volume of a Sphere with Calculus” As the title suggests, this will be a derivation without the use of Calculus. This proof is Greek in origin, in […]Read more "The Volume of a Sphere (without Calculus)"
This post is second in a series of 3 beginning with “Coordinates in 3-space”. We have been taught that the volume of a sphere . We will go through two derivations of this, beginning with the Calculus version. We will make use of a theorem in calculus. Theorem: . Suppose we have a sphere of radius […]Read more "The Volume of a Sphere with Calculus"