The map lists various areas of study that come under the aegis of mathematics. It is a Herculean task to enumerate all the disciplines in mathematics. Dominic has done an amazing job here.

**Foundations**- Fundamental Rules, Mathematical Logic, Set Theory, Category Theory, Theory of Computation, Complexity Theory**Pure Mathematics**- Number Systems - Natural Numbers, Integers, Rational Numbers, Real Numbers, Complex Numbers,
- Structures - Number Theory, Combinatorics, Algebra, Linear Algebra, Group Theory, Order Theory
- Spaces - Geometry, Trigonometry, Fractal Geometry, Differential Geometry
- Changes - Calculus, Vector Calculus, Chaos Theory, Dynamical Systems, Complex Analysis
**Applied Mathematics**- Numerical Analysis, Game Theory, Economics, Engineering, Computer Science, Machine Learning, Probability, Statistics, Cryptography, Optimization, Biomathematics, Mathematical Physics, Mathematical Chemistry