Sunday, 12 February 2017

Maps

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