1. Space
   1. Geometry
   2. Algebraic Geometry
   3. Trigonometry
   4. Differential Geometry
   5. Topology
   6. Fractal Geometry
2. Change
   1. Calculus
   2. Vector Calculus
   3. Differential Equations
   4. Dynamical Systems
   5. Chaos Theory
3. Structure
   1. Number Theory
   2. Abstract Algebra
   3. Group Theory
   4. Order Theory
4. Foundations and Philosophy
   1. Mathematical Logic
   2. Set Theory
   3. Category Theory
5. Discrete Mathematics
   1. Combinatorics
   2. Theory of Computation
   3. Cryptography
   4. Graph Theory
6. Applied Mathematics
   1. Mathematical Physics
   2. Fluid Dynamics
   3. Numerical Analysis
   4. Optimization
   5. Probability Theory
   6. Statistics
   7. Financial Mathematics
   8. Game Theory
7. Quantity