What is abstract mathematics, and what is practical?

Question

Mathematics

Which disciplines (topics) in mathematics are related to Abstract (mathematics), and which to practical?

Answer 1

It is customary to call abstract mathematics sections that work with rings, fields and other discrete heresy. It is abstract because it works with objects rather cynically, sparingly on characteristics, but this does not mean that it is simple, although it can give such an impression.
On the whole, however, all mathematics is extremely abstract. Logical, slender, to the point. Unlike the economy, which itself does not understand why a person (or group) acts one way or another.
Practical, if applied, is an extension of a coherent (limited) mathematical model with new concepts from other areas, so that using mathematical methods it is possible to solve problems, for example, biology or sociology, and even literature and music. For this, a certain transition of a mathematical concept to another is made, there may be a direct transition, or maybe an indirect one. For example, calculating a country's GDP is a direct jump from soulless numbers to dead raccoons. And the classification of notes is the transition from a sound wave through Fourier transforms to harmonic vibrations, that is, to a spectrum.

Answer 2

Abstract mathematics is a concept from the field of schizophasia , somewhere near concrete diplomacy.

Answer 3

Arithmetic - unambiguously to practical.
Everything else depends on whether you can apply it. Let's say some tricky field theories have been abstract for a couple of centuries. But in the 1970s they began to be used in cryptography.
There is a division not abstract and practical.
Both fundamental and applied.