Proofs from the Book
The (mathematical) heroes of this book are "perfect proofs": brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory. Thirty beautiful examples are presented here. They are candidates for The Book in which God records the perfect proofs - according to the late Paul Erds, who himself suggested many of the topics in this collection. The result is a book which will be fun for everybody with an interest in mathematics, requiring only a very modest (undergraduate) mathematical background
1 online resource (viii, 199 pages) : illustrations (some color)
9783662223437, 9783662223451, 3662223430, 3662223457
861706286
Introduction
Number Theory
Geometry
Graph Theory
Combinatorics
Analysis
References
Index
English