PROOFS FROM THE BOOK - Hardcover

Aigner, Martin

 
9783540636984: PROOFS FROM THE BOOK

Inhaltsangabe

The mathematical heroes of this book are "perfect proofs": ideas, connections and observations that bring insight and surprising perspectives on basic and challenging problems, from number theory, geometry, analysis, combinatorics, and graph theory. Thirty examples are presented here.

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Críticas

..."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 .,."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

Reseña del editor

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.

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