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This book brings together a number of mathematical demonstrations chosen for their elegance. It presents brilliant ideas, unexpected connections and remarkable observations that shed new light on fundamental problems.
According to the mathematician Paul Erdös, who himself suggested several of the themes presented, the proofs developed here would be worthy of inclusion in God's Book of Perfect Demonstrations.
The book covers various fields (number theory, geometry, analysis, combinatorics and graph theory). It discusses results that have been established for a long time, as well as theorems that have recently been demonstrated. In all cases, understanding them requires only a basic knowledge of mathematics.
This third French edition is a translation of the revised and expanded fourth English edition. It includes five new chapters and numerous improvements and corrections. The book will appeal to anyone with an interest in mathematics.