Mathematics



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A picture and listing orgainizing relevent subjects using Mathematics Subject Classification 2000.



Mathematics Subject Classification 2000

  • 03 Mathematical Logic and Foundations
  • 05 Combinatorics
    • 05A Enumerative Combinatorics
      • 05A17 Partitions of Integers
      • 05A18 Partitions of Sets
    • 05C Graph Theory
      • 05C05 Trees
  • 06 Order, Lattices, Ordered Algebaic Structures
    • 06A Ordered Set
      • 06A07 Combinatorics of partially ordered sets
  • 11 Number Theory
      • 11B25 Arithmetic Progressions
      • 11B73 Sterling and Bell numbers
      • 11B75 Other Combinatorial Number Theory
    • 11D Diophantine Equations
      • 11D04 Linear Diophantine Equations
    • 11L Exponential Sums
    • 11M Zeta & L-functions:Analytic Theory
      • 11M 26 Nonreal zeros of Riemann Zeta
    • 11P Additive Number Theory
      • 11R52 Quaternion and other Division Algebras
  • 15 Linear and Multilinear Algebras
      • 15A66 Cliford algebras, spinors
  • 17 Nonassociative Rings and Algebras
    • 17B Lie algebras
  • 18 Category Theory: Homological Algebra
  • 20 Group Theory and Generalizations
    • 20D Abstract finite groups
  • 22 Topological Groups, Lie Groups
    • 22E Lie Groups
  • 26 Real Functions
      • 26A18 Iterations
  • 30 Functions of a Complex Variable
    • 30B Series Expansiona
      • 30B40 Analytic Continuation
    • 30D Entire and Meromorphic functions
      • 30D05 Functional equations in the complex domain, iteration and composition of analytic functions
    • 30F Riemann surfaces
      • 30G35 Functions of hypercomplex variables and general functions
  • 32 Serveral Complex Variables and Analytic Spaces
    • 32D Analytic Continuation
  • 33 Special Functions
  • 34 Ordinary Differential Equations
  • 35 Partitial  Differential Equations
    • 35Q Equations of Mathematical Physics and other areas of application
      • 35Q30 Navier-Stokes equations
  • 37 Dynamical Systems and Ergodic Theory
    • 37B Toplogical Dynamics
      • 37B25 Lypunov functions and Stability; atractors, repellors
    • 37C Smooth dynamical systems
    • 37D Dynamical systems with hyperbolic behavior
    • 37E Low-dimensional dynamical systems
      • 37E15 Combinatorial dynamics (types of periodic orbits)
    • 37F Complex dynamical systems
      • 37F20 Combinatorics and Topology
  • 39 Difference and Functional Equations
    • 39A Difference Equations
  • 46 Functional Analysis
    • 46A Topological linear spaces and related structures - Frechet spaces
    • 46B Normed linear spaces and Banach spaces
    • 46E Linear function spaces and their duals
      • 46E10 Topological linear spaces of continuous, differential or analytic functions
      • 46E15 Banach spaces of continuous, differential or analytic functions
    • 46L Selfadjoint operator algebras (C^*-algebras, von Neumann (W^*-) algebras
  • 54 General Topology
    • 54C Maps and general types of spaces defined by maps
  • 57 Manifolds and Cell Complexes
    • 57R Differential topology
      • 57R50 Diffeomorphisms