Algebron

Algebron is a JavaScript math library written in TypeScript. The library provides:

1. implementations of common data structures;
2. APIs for scientific computation, numeric analysis, and statistics;
3. CAS (Computer Algebra System) functions;
4. an API for 2D and 3D graphics processing; and
5. a scripting language called Praxis.

Largely motivated by necessity, I began writing Algebron as an undergraduate studying math and philosophy. Writing notes by hand and rewriting them in LaTeX takes a lot of time. With enough practice and a few shortcuts in vim and emacs, I learned to quickly type in LaTeX. Unfortunately, I still spent hours in Inkscape generating SVGs of my hand-drawn diagrams.

My solution to cutting down that time: Generate the diagrams by code. Thus began Algebron's nascency–a smorgasbord of graphics modules. Over time, I wanted more features–a class in statistics led to a statistics package, a class in algebra led to an automatic simplification function, and so on.

Because of the technical background required to understanding Algebron's implementation and API, this site also serves as a repository of my notes from undergrad, many of which are generated with Algebron.

1. Algebron Documentation
2. Precalculus
3. Geometry
4. Set Theory
5. Calculus
6. Classical Mechanics
7. Electromagnetism
8. Complex Analysis
9. Linear Algebra
10. Number Theory
11. Combinatorics
12. Probability
13. Numerical Analysis