Mathematics. And what if differently? Textbook

Yes, the problem has already been solved, the answer has been received, but you should think: "But what if otherwise? Maybe the problem can be solved more reliable, easier? ” It seems that such an approach to solving problems is the way to develop creative thinking, to progress.
In the training manual on simple examples and tasks, various approaches, methods, methods for solving mathematical problems are proposed. Methodological instructions for solutions are given, a significant number of detailed tasks (both simple, typical, and increased complexity), as well as exercises addressed to students for independent solution. The guide proposed to the reader contains brief theoretical information on the mathematics of the school course and a little more.
I hope that this textbook will be useful to teachers of mathematics and tutors, as well as students who show interest in independent study of mathematics