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.
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.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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."
Inhaltsangabe
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
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
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