The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second-half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.

## Tag: Cryptography

## Make Your Own Magical Rules

When people go about making their own magical “systems”, there tend to be two popular routes they take: making their own magical language without formalizing their ontology or they create random sigils. The problem, though, is that those two popular methods alone technically don’t create a magical system. A magical system is an abstraction comprised of a body of axioms, rules, and operations. If you were to look at classical and historical “magical systems”, you will see a formally articulated set of axioms and rules; an example of this is Western occultism. The problem with informally creating your own magical Read More

## The Geometry of SET

In the card game SET, what is the maximum number of cards you can deal that might not contain a SET?

## How to Break Cryptography

## Times Tables, Mandelbrot and the Heart of Mathematics

The good old times tables lead a very exciting secret life involving the infamous Mandelbrot set, the ubiquitous cardioid and a myriad of hidden beautiful patterns. Time for the Mathologer to go on a serious fact-finding mission.