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.





A Computational Introduction to Number Theory and Algebra

The mathematical material covered includes the basics of number theory (including unique factorization, congruences, the distribution of primes, and quadratic reciprocity) and of abstract algebra (including groups, rings, fields, and vector spaces). It also includes an introduction to discrete probability theory—this material is needed to properly treat the topics of probabilistic algorithms and cryptographic applications.


Applied Discrete Structures

This textbook contains the content of a two semester course in discrete structures, which is typically a second-year course for students in computer science or mathematics, but it does not have a calculus prerequisite. The material for the first semester is in chapters 1-10 and includes logic, set theory, functions, relations, recursion, graphs, trees, and elementary combinatorics. The second semester material in chapters 11-16 deals with algebraic structures: binary operations, groups, matrix algebra, Boolean algebra, monoids and automata, rings and fields.


The Nature of Code: Simulating Natural Systems with Processing

In this post, there is a playlist of video lectures that supplement the book.

How can we capture the unpredictable evolutionary and emergent properties of nature in software? How can understanding the mathematical principles behind our physical world help us to create digital worlds? This book focuses on a range of programming strategies and techniques behind computer simulations of natural systems, from elementary concepts in mathematics and physics to more advanced algorithms that enable sophisticated visual results.
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Psychic Matrix

Public Psychic Matrix For those who want to skip the theory, or have already read the theory, and would like to have access to a matrix, a public one can be found below. For the record, the construct does not attach to all representations of that sigil. It is only attached to the instance of it on the post, so drawing a sigil that does not reference that particular instance won’t do you any good. Matrix Sigil Post Psychic Energy Matrices are a class of amplification constructs I designed. Matrices utilize recursively created fractals to create a resonance via a Read More


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