The history of methods of finding the smallest and largest quantities is traced. Detailed solutions of many wonderful problems to the maximum and minimum, belonging to the great mathematicians of past eras' Euclid, Archimedes, Geron, Tartaglia, Fermat, Kepler, Bernoulli, Newton, etc. It is said about the origin of many ideas that laid the foundations of modern analysis. Relationships of extreme problems with problems of natural science, technology and economics are explained, the basic principles of the modern theory of extreme problems are told, on the basis of the theory of extremums solutions of many problems of algebra, geometry, analysis are given. For students, teachers, students, teachers. Just from under the scanner! Due to the latest tectonic processes, some visitors had a short-term desire to do something good. But here the main question is how to implement it with minimal costs and maximum quality. That this laudable, but rarely realized impulse is not lost in vain, I hasten to share a recipe for the digitization of scientific and technical books (t.) e. h/b Books containing formulas, hieroglyphs probably too). The method is intended exclusively for beginners .. In visual form, step by step, the whole way is presented, from the paper original to the e-version of the book. As an example, a book made using this technology is offered the following popular science guide for advanced high school students. Creating an e-copy of this book took me a total of no more than 45 (and that, because I decided to try very hard) minutes of manual labor and a couple of hours of computer work. A few additions: 1 Use Fine. Reader only for recognition. The use of FR for scanning and processing, leads to a noticeable deterioration in the result. 2 DjvuOCR 2. is available for download 1, which supports FR 8 version. If you do not care, as I do, for local disasters, then anyway, I urge you to digitize your favorite scientific and technical books and share with the people and the people will share with you!