Mathematical algorithmization and scope?

Question

Algorithms

Updated
I will introduce the term it is absolutely subjective.
Mathematical algorithmization is the development of algorithms using mathematical formulas.
The reason for the question is that, looking through the educational literature, I come across reviews that describe the need for knowledge of standard algorithms, as "something" without which there is absolutely no way (Algorithms construction and analysis. Kormen). Attempts to find an applied application of mathematical algorithmization did not lead anywhere. Maybe I didn't search well. Therefore, please explain where is the industry application? Name the PL where it is applied or spheres, etc. It is desirable with real examples of application. Very interesting other people's experience.
I myself am a web developer. Everything is trivial here and there are no special difficulties. I will also add:
I want to understand if it is worth spending time on this? For what? - you ask, is there knowledge that relates to programming in general, regardless of the programming language and the subject area, for example, which improves the quality of the code, etc.
Updated
I do not have a good mat. preparation and all program code has rather intuitive solutions taken from best practices as well as own experience. So I'm trying to find out from knowledgeable people what real benefit I will get from studying all these mathematical calculations that lead to this or that algorithm
. Please write those who have this knowledge. The fact that without them is possible and so clear.

Answer 1

What do you understand by mathematical algorithmization?
standard algorithms - yes, without them in any way. I still don't understand, do you agree with this or doubt it?
in general, it would be nice to read the question a couple of times before posting. set of words in places.

Answer 2

Well, if you're a web developer, then a smart form hint should be a good example for you. Quite algorithmic...

Answer 3

For example, in the development of games, various numerous algorithms are used.

Answer 4

I myself am a web developer. Everything is trivial here and there are no special difficulties.

Because you use everything ready-made, which has already been written by other programmers.
I've run into web programmers who couldn't fix their own forum. There, for example, there was a bug in the tags for marking up text, or just a link with a comma at the end defined this comma as part of the link.
The bug is clear, but how to fix it? Need a programmer.
And when it comes to some additional tags that do not exist in nature, then there is no need to even talk about it. People don't even understand how to test their own code.