Abstract Algebra: Theory and Applications

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.


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


Talisman of Focusing Rings Conceptual Fields, Atomic Concepts, and Energy Flow

So, this is a complex sorcerous talisman of mine. With talismans, the symbols act as conduits. The power comes from the entities (in this case psychic objects) associated with the representation. It’s a talisman of rings that defines a domain that acts as a loci for Experience, Perception, Awareness, Formation, Desire, and Fantasy so that psychic power resonates and is amplified. Those concepts comprise the nodes of the outer ring and the lines throughout the talisman are a mapping of the psychic forces from those concepts – it acts as a vector of psychic forces. Since this is also a Read More



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.



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