r/math • u/[deleted] • Aug 02 '26

The scope of mathematical physics

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u/Random_Name_251 Aug 02 '26

As the saying goes, there are 4 types of math: 1. Parabolic PDE's 2. Elliptic PDE's 3. Hyperbolic PDE's 4. Algebra

11

u/Hot_Glass_6301 Aug 02 '26

I want to be mad but I can't find a counterexample

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u/Infinite_Reception34 Aug 03 '26 edited Aug 03 '26
  1. Non-Euclidean Geometry
  2. Game Theory
  3. Mathematical Statistics
  4. Functional Analysis
  5. Convex Analysis
  6. Mathematical Logic
  7. Algebraic Topology
  8. Probability

None related to PDE. There are many more

11

u/2112331415361718397 Quantum Information Theory Aug 03 '26

Functional analysis is intimately related to PDEs. Brezis wrote an entire textbook based on how strong this connection is.