Mathematical analysis with a human face, or How to survive after a limit transition. A complete course in mathematical analysis. Beginning

Who said that mathematics should be written boring and tedious? Who said that a textbook written with a claim that they will read it is nonsense? Even the creators of the most impenetrable courses admitted that the mathematical text devoid of the liberty risks becoming pedantic and difficult to read. The author of the ideal textbook of mathematics must be imagined by a man with a piece of chalk, and the text of the book is a living story that is born here and now and interrupted layouts on the board.
In this book, an attempt was made to state a course of mathematical analysis as a compound part of a universal culture. The author writes about the integral and the derivative is not dry and strictly, but so that at least a little bring mathematics to the reader, albeit quite far from it. The reader will receive at his disposal not only the reference book from which you can “pull out” the formulas to perform calculated work, but also the reader for reading, capable of helping him to feel with what amazingly beautiful science he ran into. The book includes about a hundred tasks --- both completely canonical in the sense of the educational process, as well as those who are entertaining. All tasks are given solutions or answers.
The presentation is designed for school students with in -depth study of mathematics and for students studying mathematical analysis. The book can perform the function of the textbook for the first courses of technical universities