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- How to write the Unified State Exam in mathematics profile, if you do not understand anything (almost). I go to a tutor, but it's very expensive! What should I do?!?

I don't think there is such a textbook.

But if you really need to learn math, then you should first ask yourself what you want to get in the end. How deep is the understanding required? To be able to perform calculations and to master mathematics at the academic level, you will need to make a different amount of effort, and you will also need to build the learning process differently. Decide which areas of mathematics will be your priority (analysis, geometry and topology, logic, number theory, numerical methods, probability theory, and math.statistics, etc.)?

Depending on whether you need to be proficient in mathematics at an academic level or only at a technical level, I would advise you to find the curriculum of the relevant faculty and follow it, selecting textbooks for the necessary sections yourself.

In addition, I can only say that almost regardless of the choice of the branch of mathematics that you will study, you will have to start with set theory, group theory, rings and fields, which, however, is not necessary for technical mathematics.

Some time ago, I also took care of restoring the school curriculum in my memory, looking for good literature. Many recommend “What is Mathematics”, by Courant and Robbins. One way or another, the essence of the main terms and sections is revealed, starting with the question of what a number is.

“Alex in the Land of Numbers” by Alex Bellos. A book in the genre of investigative journalism about mathematics. Interesting, lively and simple language written about the history of mathematics, numbers, arithmetic, geometry, mathematical paradoxes. I was thrilled with the book.

“The Euclidean Window”, by Leonard Mlodinov. A book about mathematics and geometry.

The Theoretical Minimum, by Leonard Susskind and George Grabowski. A small book that briefly and relatively clearly describes all the main sections of mathematics and physics in the style of Wikipedia with examples of problem solving and exercises.

I believe that these three books (and especially the first one) should be read before taking on brutal literature.