Basic functions of Mathematics

I am neither a mathematical professional nor a mathematical genius. I want to write this memo article to share my understanding of the role of mathematics. I want to organize my own ideas, and I want to see your opinions.

First, what is philosophy? My personal understanding is how to understand the world as small as a specific problem (such as money). We recommend that you look at Russell's "History of Western philosophy" so that you can have so many explanations for one thing, so much understanding.

When it comes to mathematics, it also involves a philosophical question, that is, Mathematical Philosophy: including mathematical ideas, philosophy, etc. Ordinary people like me cannot understand it; for example, it is said that there are three schools of mathematics, logical, formalism, and intuition, all of which have risen to the heights of philosophy, aesthetics, and so on.

My understanding is very vulgar. I use mathematical tools to do things. For example, a graphic algorithm involves a lot of triangular learning tools.

Mathematical tools include: mathematical logic (logical research), set theory (database research may be used), representative Mathematics (such as group, ring), number theory (such as drawer principle), ry, topology, analytics (such as functional analysis), differential equations, computational mathematics (numerical analysis), probability theory, mathematical statistics, and operational research (such as dynamic planning ). These things seem very mysterious. We actually use these tools inadvertently (for example, we often encounter these things during interviews), such as the principle of drawers.

For more information about mathematical tools, see the Chinese encyclopedia. Mathematics.

In addition to the vulgar interpretation of mathematics, I also have a metaphor to explain my understanding of the basics of mathematics:

The philosophy is like an operating system: it elaborates on the understanding of various entities (storage, files, processes, and devices ).

Mathematics is like a system call: abstract is a tool for doing things

Specific fields, such as networks, databases, and graphics systems, are encapsulated libraries (such as glibc) on the basis of Mathematics/philosophy)

Applications in specific fields, such as mysql databases, are written based on these database functions.

At this point, I have taken a brief look at my basic role in mathematics. In addition, Theoretical Computer science in Computer science is the most closely related to mathematics. Turing, wang Xiaoyun and other predecessors are in this field.