What should be the sequence of studying mathematics?

Question

Mathematics

In what order should I study all sections of mathematics?
Algebra
Mathematical analysis
Analytic geometry
Linear algebra and geometry
Differential equations
Mathematical physics
Geometry and topology
Probability theory and mathematical statistics
Computational mathematics
Discrete mathematics and mathematical cybernetics
Arithmetic
Theory of elementary functions and elements of analysis
Mathematical logic
Differential geometry
Difference equations
Functional analysis and integral equations
Theory of functions of a complex variable
Equations with Partial and Derivatives
Theory of random processes
Variational excision and optimization methods
Number theory
Algebraic combinatorics
Euclidean geometry
Planimetry
Stereometry
Projective geometry
Affine geometry
Descriptive geometry
Multidimensional geometry
Geometry of manifolds
Non-Euclidean geometry
Spherical geometry
Lobachevsky
geometry Romanov geometry
Algebraic

geometry

Answer 1

The list is pretty weird. There's a mix.
Let's say Planimetry and Stereometry are part of Euclidean geometry.
Lobachevsky geometry and Romanov geometry are part of non-Euclidean geometry.
Arithmetic - it is not clear what is meant. If elementary, then this is generally an elementary school, and if something a la Serre is meant, then this is the same as number theory.
The list also includes what is usually included in the curriculum at the mathematical departments of universities, both general courses (say, Calculus, Analytic Geometry, Linear Algebra), and specific things like Difference Equations.
You don't have to worry so much about yourself. You need to finish school, and then go to study for a mat. faculty, if interested. They teach in the right order.