Название: Proof and the Art of Mathematics Автор: Joel David Hamkins Издательство: The MIT Press Год: 2020 Формат: PDF Страниц: 236 Размер: 32,89 МБ Язык: English
This book offers an introduction to the art and craft of proof-writing. The author, a leading research mathematician, presents a series of engaging and compelling mathematical statements with interesting elementary proofs. These proofs capture a wide range of topics, including number theory, combinatorics, graph theory, the theory of games, geometry, infinity, order theory, and real analysis. The goal is to show students and aspiring mathematicians how to write proofs with elegance and precision.