The boom of publications devoted to chaos in deterministic dynamical systems broke all records. The number of works devoted to this issue and its applications is estimated at tens of thousands and is growing from year to year. At the same time, domestic books on this topic can be listed on the fingers1. This is especially true of mass, popular literature on problematic, worldview issues of modern natural science, focused on scientists and specialists, when the wave of publications dedicated to the most daring interpretations of this theory is growing so quickly. The books of Ian Stewart, a mathematician and well-known popularizer of the exact sciences, are well known in our country. Suffice it to call it (together with Tim Poston) a monograph on Catastrophe Theory and its applications as well as the book The Mystery of Catastrophe . published for “adult” children. The popularity of the presentation in them does not prevent the author from presenting very relevant and important problems of modern mathematics. In his books there are many jokes, original comparisons, poems, quotes - the word of everything that makes reading entertaining, interesting and meaningful. Especially impressed by the position of the author in relation to mathematics, significantly different than in the vast majority of domestic books, usually demonstrating that mathematics is only a tool, a language, but not an instrument of knowledge, located in advanced positions. In Stuart's book, mathematics has a very different role, He sees mathematics as the vanguard of human knowledge. as the field of the most universal science , actively and independently paving the way into the unknown, This is true of ,. The physical mechanisms of which are only guessed in the darkness of the unknown. This book is dedicated to applied mathematics, its role and place in the modern world, which is considered through the prism of a fundamental change in the paradigm of modern science - its reorientation to the predominant study of nonlinear processes as leading in the explanation of the most relevant complex phenomena for humans. Screenshots