Geometric Algebra Explorer Blog

Abstract Flow 0

Geometric Algebra: Ascension of the Mind

If you understand something in only one way, then you don’t really understand it at all. The secret of what anything means to us depends on how we’ve connected it to all other things...

turing_23-big 0

Computing: Please, Mind Your Language!

Language is a process of free creation; its laws and principles are fixed, but the manner in which the principles of generation are used is free and infinitely varied. Even the interpretation and use...

Solenoid-large 0

A Functional History of Numbers (3 of 3)

Science is what we understand well enough to explain to a computer. Art is everything else we do. — Donald Knuth. here are 3 kinds of science: the experimental, the theoretical, and the simulated1....

Old-Geometry 0

A Functional History of Numbers (2 of 3)

As long as algebra and geometry have been separated, their progress have been slow and their uses limited; but when these two sciences have been united, they have lent each mutual forces, and have...

Black and white numbers background 0

A Functional History of Numbers (1 of 3)

The interest which pupils take in their studies may be greatly increased if the solution of problems and the cold logic of geometrical demonstrations are interspersed with historical remarks and anecdotes. — Florian Cajori,...

Abstraction Word Cloud 0

The Abstract

If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is – John von Neumann bstraction is a fundamental human skill and tool for...