William Dunham: Journey Through Genius

Cover: 9780471500308 | Journey Through Genius | Great Theorems of Mathematics | Dunham | Buch

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Beschreibung

Praise for William Dunham's Journey Through Genius The Great Theorems of Mathematics "Dunham deftly guides the reader through the verbal and logical intricacies of major mathematical questions and proofs, conveying a splendid sense of how the greatest mathematicians from ancient to modern times presented their arguments." ?Ivars Peterson Author, The Mathematical Tourist Mathematics and Physics Editor, Science News

"It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash." ?Isaac Asimov

"It is a captivating collection of essays of major mathematical achievements brought to life by the personal and historical anecdotes which the author has skillfully woven into the text. This is a book which should find its place on the bookshelf of anyone interested in science and the scientists who create it." ?R. L. Graham, AT&T Bell Laboratories

"Come on a time-machine tour through 2,300 years in which Dunham drops in on some of the greatest mathematicians in history. Almost as if we chat over tea and crumpets, we get to know them and their ideas?ideas that ring with eternity and that offer glimpses into the often veiled beauty of mathematics and logic. And all the while we marvel, hoping that the tour will not stop." ?Jearl Walker, Physics Department, Cleveland State University Author of The Flying Circus of Physics

"It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash." ?Isaac Asimov

Über den Autor

About the author WILLIAM DUNHAM is a Phi Beta Kappa graduate of the University of Pittsburgh. After receiving his PhD from the Ohio State University in 1974, he joined the mathematics faculty at Hanover College in Indiana. He has directed a summer seminar funded by the National Endowment for the Humanities on the topic of "The Great Theorems of Mathematics in Historical Context."

Inhaltsverzeichnis

Preface v

Acknowledgements ix

Chapter 1 Hippocrates' Quadrature of the Lune (ca 440 BC) 1

Chapter 2 Euclid's Proof of the Pythagorean Theorem (ca 300 BC) 27

Chapter 3 Euclid and the Infinitude of Primes (ca 300 BC) 61

Chapter 4 Archimedes' Determination of Circular Area (ca 225 BC) 84

Chapter 5 Heron's Formula for Triangular Area (ca AD 75) 113

Chapter 6 Cardano and the Solution of the Cubic (1545) 133

Chapter 7 A Gem from Isaac Newton (Late 1660s) 155

Chapter 8 The Bernoullis and the Harmonic Series (1689) 184

Chapter 9 The Extraordinary Sums of Leonhard Euler (1734) 207

Chapter 10 A Sampler of Euler's Number Theory (1736) 223

Chapter 11 The Non-Denumerability of the Continuum (1874) 245

Chapter 12 Cantor and the Transfinite Realm (1891) 267

Afterword 285

Chapter Notes 287

References 291

Index 295

Details

Erscheinungsjahr:	1991
Fachbereich:	Allgemeines
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Thema:	Lexika
Medium:	Buch
Inhalt:	Gebunden
ISBN-13:	9780471500308
ISBN-10:	0471500305
Sprache:	Englisch
Einband:	Gebunden
Autor:	Dunham, William
Hersteller:	Wiley
Maße:	235 x 157 x 23 mm
Von/Mit:	William Dunham
Erscheinungsdatum:	16.01.1991
Gewicht:	0,668 kg

Artikel-ID: 101197999