MATH-CS COMPASS - Free Download

MATH-CS COMPASS is an educational platform bridging pure mathematics and computer science, with a focus on the mathematical foundations of modern AI and machine learning.
The website offers rigorous, structured content across five sections:

I - Linear Algebra to Algebraic Foundations
From vector spaces and eigenvalues to abstract algebra, field theory, and Lie groups.

II - Calculus to Optimization & Analysis
From gradient descent and measure theory to topology, functional analysis, and Lp spaces.

III - Probability & Statistics
From Bayesian inference and Markov chains to measure-theoretic probability.

IV - Discrete Mathematics & Algorithms
From graph theory and computational complexity to simplicial complexes and homology.

V - Machine Learning
Neural networks, SVMs, VAEs, natural gradient descent, and more — where mathematical foundations meet practice.

Navigate all topics through the Interactive Knowledge Map, guided by Tessera, your learning companion.

The companion app includes:

- Fragment Archive: Over 100 episodes from the history of mathematics and computer science, connected through an interactive timeline
- 7 educational mini-games covering transformations, distributions, Bayesian inference, series, and more
- Notes with a math keyboard (197 symbols) and LaTeX rendering
- Achievements tracking across all games
- BGM and sound effects

Founded by Yusuke Yokota. Content is regularly updated.