Proofs from THE BOOK
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Beschreibung
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 Erdös, 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.
An excellent, easy-to-read book for everyone with an interest in mathematics. Two top researchers have made a big effort and selected a list of mathematical problems which can be solved by elegant, esthetically pleasing proofs. The result is a book which will be fun for everybody with an interest in mathematics requiring only very little previous knowledge. Includes supplementary material: sn.pub/extras
Autor*in
Martin Aigner
Themen in »Proofs from THE BOOK«
Abzählen Beweise Combinatorics Euler's formula Eulersche Formel Polya Prime Zahlen calculus differential equation double counting graph theory number theory numbers proofs
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"...a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another." - Notices of the AMS
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