Uspensky V. A. The simplest examples of mathematical proofs. - M.: Publishing house MTsNMO, 2009. - 56 p.

The brochure, in a language accessible to non-specialists, talks about some of the fundamental principles on which the science of mathematics is built: how the concept of mathematical proof differs from the concept of proof accepted in other sciences and in everyday life, what simple methods of proof are used in mathematics, how the idea of the “correct” proof has changed over time, what the axiomatic method is, what is the difference between truth and provability. For a very wide range of readers, starting with schoolchildren high school.

ISBN 978-5-94057-492-7 BBK 22.130