Mathematics without formulas. Book 1: sets. Display. Relationship. Sequences, rows. Functions. Properties of functions

Mathematical formulas are just a convenient language for the presentation of ideas and methods of mathematics. These ideas themselves can be described using familiar and visual images from the surrounding life. The real book, the authors of which is a wonderful popularizer of science Yu. V. Pukhnachev and a prominent mathematician Yu.P. Popov, is a kind of mathematics guide consisting of two parts (book One and Book two). The first book in a lively and intelligible form tells about theorems, axioms and definitions, sets and display, relationships, sequences and rows, functions and their properties, differential and integral calculation. From the second book, the reader will receive information about the functional ranks, linear and metric spaces, affection transformations and groups of transformations, as well as the elements of mathematical logic. The book will be interesting to a wide range of readers - from high school students to professional mathematicians.