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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..."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

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