Path to mathematics. Is there an analogue to Landsberg?

Question

Mathematics

Good afternoon. I study mathematics at the Pratusevich/Skanavi school. There was a desire to develop myself within the framework of mathematics, but I noticed that despite the rather large time spent on the subject, I understand that the topics covered remain passed, i.e. there is no something like a general knowledge of mathematics. As a number of separate topics and, accordingly, tasks on them. I am familiar with Landsberg's three-volume "Elementary Textbook of Physics". I hope many of you are familiar. For those who do not know, I will briefly tell you what he hooked me with. A minimum of formulas, a maximum of reasoning on the physics of processes, i.e. this is the exact opposite of reference books on physics, where the entire course of thermodynamics fits in 2 pages. Landsberg is a complete collection of school and school topics with an exhaustive depth of material for the student. My question is: Is there a similar math textbook? Now, this is going to sound silly: I want to understand mathematics, not the topics of mathematics, but the nature, so to speak, of mathematics, by studying mathematics in depth.
www.mat.net.ua/mat/biblioteka-fizika/Landzberg-fiz... - link to the first volume of Landsberg. Please read "From the Preface to the First Edition". The logic of the tutorial is very clear there.
Thank you very much in advance.

Answer 1

I can’t vouch for “general knowledge of mathematics” (a very abstract request), but try to look at Ya. I. Perelman’s books “Entertaining Algebra”, “Entertaining Geometry” (and his other books, if you like).
I personally really liked "The Amazing World of Numbers" (Kordemsky B.A., Akhadov A.A.).
Another excellent series "Library "Quantum"" (there is both physics and mathematics), and the magazine "Quantum" itself too.

Answer 2

If I understood you correctly, then you want to understand mathematics as a science in unity and diversity, and not separate sections. Probably worth looking at popular science books on mathematics and the philosophy of mathematics - R. Courant, G. Robbins "What is mathematics?", S. Strogats "The pleasure of x" and others in this vein, which are written by professional mathematicians.

Answer 3

all fractal

Answer 4

History of mathematics. I can't recommend anything better. You can even watch a movie. The BBC has it, it seems.

Answer 5

Shatalov School - All courses in mathematics with reference notes.
Well, Kiselev - Algebra 1 and 2, Geometry - a classic textbook of a strong Soviet school.

Answer 6

Mathematics with a "minimum of formulas"? Nope. At best, some history of mathematics. But even it will very quickly go beyond the scope of the school course and it will become incomprehensible to you even about the first crisis in mathematics.

Answer 7

An error in the very formulation of the question: physics is a description of the surrounding world, and mathematics is just :) a tool.
You can say about an apple in different ways - round, green, tasty, 10 cm in diameter, grown on a tree, etc.
And about the ruler (as an abstraction) - accuracy and length.
Mathematics is a language that can be used to tell physics as well.
Those. IMHO "to understand mathematics" is possible only in the application to specific tasks.
Or just doing math as an art.