Proofs from the book
Author(s)
Bibliographic Information
Proofs from the book
Springer, c2001
2nd ed
Available at / 24 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science研究室
: alk. paper510/AI332070525346
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
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 Erd/s, 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. For this revised and expanded second edition several chapters have been revised and expanded, and three new chapters have been added. According to the great mathematician Paul Erd/s, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, sis, com binatorics, and graph theory.
As a result, this book will be fun reading for anyone with an interest in mathematics.
Table of Contents
Introduction.- Number Theory.- Geometry.- Analysis.- Combinatorics.- Graph Theory.- About the Illustrations.- Index.
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