Dialogues about fractals. From Kantor to Mandelbrot. 3rd edition, corrected. Ostashkov V.N.

A real book in some kind of Merce can be attributed to a brilliant, albeit peculiar, model of the Fantasy genre. Three characters - a thoughtful max, a creative nickname and green -eyed Esmeralda - are not discussing deep ideas of fractal geometry, familiarizing the reader with mathematical jungle, consisting of self -like plants of enchanting beauty. The presentation of the material in the form of a conversation allows the author to say simply about the complex, popular about scientific, clear about the foggy.

The book explores elements of fractal geometry: the concepts of fractal and multiphractal; dimensions of Hausdorf-Bszikovich, Mingkovsky, Reni; the construction of fractals as attitors of the system of iterized similarities, affin, projective and quadratic cremone transformations, as well as images of pumping functions; Properties and methods of study of fractal structures. Applications in engineering practice are also considered.

The material of the book consists of nine chapters, starting with chapter 9 (September) and ending with chapter 5 (May), which allows the reader to draw a parallel with the educational year. The text is supplemented by numerous (more than 600!) Illustrations that bewitching its beauty and uniqueness.

This amazing book is amazing both the vastness of those affected by the author and the magnificence of original images, and the exciting of the object. She will undoubtedly be useful to students, graduate students, teachers, engineers and everyone who is in love with mathematics.