Is there a concise description of mathematics?

Question

Programming

I would like to read some sections of mathematics with simple syntax or visual examples. For interest and understanding (not for rigor and drochilov with evidence).
I don't like deciphering formulas with vague non-printable characters, where it is not clear which icon is independent, and which is only part of another. (Of course, I have no complaints about people who like such charades)
Does this exist?
PS The specified tag "Programming" is not an error. I am mainly interested in what is closer to the use in programming, and not in groundless abstractions like the Klein bottle. There are no problems with programming itself (the syntax of the same python is super, unlike many formulas), I just want to improve. I also do machine learning.
Most of what I understood in mathematics through force is based on common sense and it is not clear why it is so poorly formulated, too strict, probably this is the trick, but I would like it without complications.

Answer 1

Mathematics in 30 seconds
Year: 2014
Author: ed. Richard Brown
Translator: Karnaushko I.
Publisher: Ripol Classic
ISBN: 978-5-386-07012-0
Series: Learn in 30 seconds
Language: Russian
Year of publication: 2014 Author :
Krilli T.
Translator: Sh. Martynova (from English)
Publisher: Fantom Press
ISBN: 978-5-86471-670-0
Language: Russian
Year of publication: 2016
Author: Benjamin A.
Translator: D. Glebov
Publisher: Alpina Digital
ISBN: 978-5-9614-4466-7
Language: Russian
Year: 2014
Author: Strogats S.
Publisher: Mann, Ivanov i Ferber
ISBN: 978-500057-008-1
Language: Russian
Release year: 1995
Author: Pukhnachev Yu., Popov Yu.
Year of issue: 2002
Author: Boltyansky V.G., Savin A.P.
Genre: Mathematics
Publisher: MTSNMO
ISBN: 5-94057-040-2
Language: Russian
Год издания: 1958
Автор: Кущенко В.С.
Жанр или тематика: Математика
Издательство: Судпромгиз
Язык: Русский
Год выпуска: 1967
Автор: Румшиский Лев Зимонович
Издательство: "Наука"
УДК: 681.143:518.5
Язык: Русский

Answer 2

Khan Academy only. They practice before a full-fledged presentation of the material "to give an idea" (they call it intuition), which, using examples, greatly helps to understand the practical meaning and place in the overall picture of a particular topic. If weak english - it is possible with subtitles - the norms come chesslovo.

Answer 3

I highly recommend English-language resources. When you understand that p is point, q is quantity, P is probability, S is surface, V is volume, and not just some strange letters of formulas, everything fits in your head much faster. And in the end, there are not so many icons ...

Answer 4

Hmm, for the interest of understanding and so as not to guess the formulas and especially not to understand .... What can I tell you: doing mathematics is hard work, and a fool will not be able to ride here. This is the truth of life. If you want something easy, with pictures, then read an encyclopedia on mathematics, for example, Avanta + (I had one in my childhood, a very good thing).

Answer 5

Pernose's books are so weird. "Renew the Mind of the King" and programming touches.
You can also read "Gödel, Escher, Bach. This endless garland" by Douglas R. Hofstadter

Answer 6

try books from the series "Educational Manga"

Answer 7

YouTube channel with visualization of various mathematics (linear algebra, machine learning). In English.

Answer 8

YouTube channel numbephile in English. Early videos simply describe the properties of some numbers, but the latest ones are about mathematical problems and the application of mathematics in life.

Answer 9

I do not really understand why programming is related to mathematics. Yes, both here and there the ability to think rigorously and "sort things out" is required, but somehow I didn't even need any Pythagorean theorem in programming. Everything is within the framework of arithmetic, and once, probably, logarithms, and then, you only need to understand their essence in order to appreciate algorithms that solve a problem with logarithmic complexity. Perhaps, if someone goes into the programming of physical processes, to calculate the behavior of a particle in an accelerator, or something like that - there he may need integrals. But for me all the time - no.
With two important exceptions:
1) Mathematical modeling. In general, this is a lesson in algorithms and the application of mathematics. All sorts of traveling salesman tasks, material cutting and queuing systems. Bridge between the real world and mathematical formulas.
2) Discrete mathematics. First of all, mathematical logic. It was the only subject that I went to and understood that it was important to me, and not "to pass." And this, I think, is necessary in general for development, just to be able to think more clearly.
Therefore, if the goal is to understand mathematics with an eye to practical use, I would advise you to decide on priorities, which areas are more important. And they will also be easier to learn, because there you can see the usefulness of their application by topics.
And from the sources I would recommend such a boring book as a mathematical dictionary (this also exists). Without evidence, thesis and very briefly describes.

Answer 10

You just need to choose the necessary sections of mathematics, applied areas. Mathematical modeling for example (physical processes or population dynamics), control theory, dynamic programming. It will be clear there.

Answer 11

Cool video "sections of mathematics" . (although I do not agree with everything. It seems that Russian science is more academic, and foreign is more applied)

Answer 12

In machine learning, it is enough to know integrals, matrices and statistics - these are simple areas of mathematics.
Mathematics is best taught by solving examples and problems. The theory in mathematics is difficult to understand, but it is easy to remember which problem how to solve it.
In machine learning, it is also difficult to understand and remember the whole theory, but it is easy to remember how to solve which problems.
I advise you to focus on solving problems.