Where to start math repetition?

Question

Mathematics

Hello colleagues.
It just so happens that my ambitions in web development make me move higher and higher every time. I came to the conclusion that for further advancement in coding (the language does not dare to call the implementation and completion of online stores and linking them with payment systems programming ), mathematics will be very useful to me, well, to the university level, at least. I myself am a sociologist, but I had mathematics 3 years ago, I have already safely forgotten everything.
In addition, mathematics is not in vain the "queen of sciences" and abstract thinking needs to be developed, I defend.
I myself just started with Felix Klein's book Concrete Mathematics. After that, I plan to skim through the school curriculum and move on to university. About 15 books on the shelf.
In this connection, the question is - is there another way, say, one book, containing all this? And if also with a detailed explanation, then it’s quite grace. Because often many definitions are explained in an incomprehensible language or imply that there is a teacher who will explain.
If you walked this path - tell us how you walked it and what guided you, how, according to what sources.
Teaching mathematics topic go.

Answer 1

I found a very wonderful book - Pleasure (x). In English Joy(x), by Steven Strogatz. Helped me a lot with my repetition. Now it is more clear what mathematics is and where what area of ​​\u200b\u200bthis science is used in practice. At school, unfortunately, such a full volume was not given. So who is puzzled by the question of repetition - I recommend starting with this book, and then go to the area you need with your head.

Answer 2

I, in preparation for the ShAD, chose the following path:
With a tutor I went through school mathematics, the load was 15-20 hours a week (2 lessons of 3 hours and 5-7 hours of homework), it took about 3 months.
I went through mathematical analysis with another tutor (4 months) and now I am going through the main topics of higher algebra.
At the same time, I took courses on combinatorics and algorithms on the course, there is still probability theory, graph theory, discrete mathematics, and re-listen to the course on algorithms :)
Approximate terms - 2 years.

Answer 3

Graphs, matrices, recursive equations, equations with 2 or more unknowns. But I don’t remember more than 70% of the laws of mathematics, which are gradually, class by class, taught at school.

what, excuse me, recursive equations (econometrics or something ..)?, the laws of mathematics, do you remember the school curriculum?
First, set a goal for yourself. There can't be one book. All definitions are duplicated in Wikipedia. Don't forget to practice.

Answer 4

What section of mathematics will be useful in the near future - you learn it.