The branch of mathematics is:

1 ... History of Mathematics

2. Mathematical logic and mathematical foundation

A. Deductive logic is also called symbolic logic.

B. Proof theory is also called meta-mathematics.

C. recursive theory

D. model theory

E. axiomatic set theory

F. Fundamentals of mathematics

G .. Mathematical logic and mathematical basis of other disciplines.

3. Number theory

A. Elementary number theory

B. Analytic number theory

C. Algebraic number theory

D. Transcendental number theory

E. Diophantine approximation

F. Geometry of numbers

G. probability number theory

H. computational number theory

First, other disciplines of number theory

4. algebra

A. linear algebra

B. group theory

C. domain theory

D. column group

E. lie algebra

F F f..Kac-Moody algebra

G. Ring theory includes commutative rings and commutative algebras, associative rings and associative algebras, non-associative rings and non-junctions.

Compound algebra, etc.

H. Modularization theory

I. Lattice theory

J. pan-algebraic theory

K. category theory

Length homology algebra

M- algebra k theory

Differential algebra

O. Algebraic coding theory

Other disciplines of algebra

5. Algebraic geometry

6 .. geometry

A. geometric basis

B. Euclidean geometry

C. Non-Euclidean geometry includes Riemannian geometry, etc.

D. Sphere geometry

E. vector and tensor analysis

F. Affine geometry

G. projection geometry

H. differential geometry

I. Fractal geometry

J. computational geometry

K. Other disciplines of geometry

7. Topology

A. Point set topology

B. algebraic topology

C. homotopy theory

D. low-dimensional topology

E. homology theory

F. Dimension theory

Topology on g. lattice

H. Fiber bundle theory

I. Geometric topology

J. singularity theory

K. differential topology

Other disciplines of length topology

8. Mathematical analysis

A. differential calculus

B. integration

C. series theory

D. Other disciplines of mathematical analysis

9. Non-standard analysis

10 ... function theory

A. Theory of real variable function

B. Simple complex function theory

C. Theory of multiple complex functions

D. Function approximation theory

E. harmonic analysis

F. Complex manifolds

G. Theory of special functions

H .. function theory other disciplines

1 1 ... ordinary differential equation

A. Qualitative theory

B. stability theory

C. analytical theory

D. Other disciplines of ordinary differential equations

12 ... partial differential equation

A. Elliptic partial differential equations

B. hyperbolic partial differential equations

C. parabolic partial differential equations

D. nonlinear partial differential equations

E. Other disciplines of partial differential equations

13 ... power system

A. differential dynamic system

B. topological dynamic system

C. Complex power systems

D. Other disciplines of dynamic systems

14 ... integral equation

15 ... functional analysis

A. linear operator theory

B. Variational method

C. topological linear space

D. Hilbert space

E. functional space

F .. Banach space

G .. operator algebra

H. measure and integral

First, the generalized function theory

J. nonlinear functional analysis

K. other disciplines of functional analysis

16 ... computational mathematics

A. interpolation and approximation theory

B. numerical solutions of ordinary differential equations

C. numerical solutions of partial differential equations

D. numerical solution of integral equation

E. digital algebra

F. discretization method for continuous problems

G. Random numerical experiments

H. Error analysis

I. Other disciplines of computational mathematics

17 ... probability theory

A. Geometric probability

B. probability distribution

C. limit theory

D. Stochastic processes include normal processes, stationary processes and point processes.

E. Markov process

F. Random analysis

G. martingale theory

H. apply probability theory to related disciplines.

First, other disciplines of probability theory

18 ... Mathematical statistics

A. sampling theory includes sampling distribution, sampling survey, etc.

B. Hypothesis test

C. nonparametric statistics

D. analysis of variance

E. Correlation regression analysis

F. Statistical inference

G ... Bayesian statistics include parameter estimation.

H. Experimental design

I. Multivariate analysis

J. statistical judgment theory

K. time series analysis

Other disciplines of length mathematical statistics

19 ... applied statistical mathematics

A. Statistical quality control

B. reliability mathematics

C. insurance mathematics

D. Statistical simulation

20. Other disciplines of applied statistical mathematics

2 1 ... operations research

A. linear programming

B. nonlinear programming

C. dynamic planning

D. combinatorial optimization

E. parametric programming

F. integer programming

G. stochastic programming

H. queuing theory

First, game theory is also called game theory.

J. inventory theory

K. decision theory

Length search theory

Meter (short for meter) graph theory

Master planning theory

O. optimization

Other disciplines of operational research

22 .. Combinatorial Mathematics

23 .. fuzzy mathematics

24. Applied mathematics is specially applied to related disciplines.

25. Other disciplines of mathematics