Journey Through Genius: The Great Theorems of Mathematics by William Dunham (Eng

Description: Journey Through Genius: The Great Theorems of Mathematics by William Dunham A rare combination of the historical, biographical, and mathematicalgenius, this book is a fascinating introduction to a neglected field of human creativity. Dunham places mathematical theorem, along with masterpieces of art, music, and literature and gives them the attention they deserve. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. Author Biography 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." Table of Contents Journey through Genius - William Dunham Preface Acknowledgments Chapter 1. Hippocrates Quadrature of the Lune (ca. 440 B.C.) The Appearance of Demonstrative Mathematics Some Remarks on Quadrature Great Theorem Epilogue Chapter 2. Euclids Proof of the Pythagorean Theorem (ca. 300 B.C.) The Elements of Euclid Book I: Preliminaries Book I: The Early Propositions Book I: Parallelism and Related Topics Great Theorem Epilogue Chapter 3. Euclid and the Infinitude of Primes (ca. 300 B.C.) The Elements , Books II-VI Number Theory in Euclid Great Theorem The Final Books of the Elements Epilogue Chapter 4. Archimedes Determination of Circular Area (ca. 225 B.C.) The Life of Archimedes Great Theorem Archimedes Masterpiece: On the Sphere and the Cylinder Epilogue Chapter 5. Herons Formula for Triangular Area (ca. A.D. 75) Classical Mathematics after Archimedes Great Theorem Epilogue Chapter 6. Cardano and the Solution of the Cubic (1545) A Horatio Algebra Story Great Theorem Further Topics on Solving Equations Epilogue Chapter 7. A Gem from Isaac Newton (Late 1660s) Mathematics of the Heroic Century A Mind Unleashed Newtons Binomial Theorem Great Theorem Epilogue Chapter 8. The Bernoullis and the Harmonic Series (1689) The Contributions of Leibniz The Brothers Bernoulli Great Theorem The Challenge of the Brachistochrone Epilogue Chapter 9. The Extraordinary Sums of Leonhard Euler (1734) The Master of All Mathematical Trades Great Theorem Epilogue Chapter 10. A Sampler of Eulers Number Theory (1736) The Legacy of Fermat Great Theorem Epilogue Chapter 11. The Non-Denumerability of the Continuum (1874) Mathematics of the Nineteenth Century Cantor and the Challenge of the Infinite Great Theorem Epilogue Chapter 12. Cantor and the Transfinite Realm (1891) The Nature of Infinite Cardinals Great Theorem Epilogue Afterword Chapter Notes References Index Review Quote "An inspired piece of intellectual history." Details ISBN014014739X Author William Dunham Short Title JOURNEY THROUGH GENIUS Pages 320 Publisher Penguin Books Language English ISBN-10 014014739X ISBN-13 9780140147391 Media Book DEWEY 510.9 Year 1991 Publication Date 1991-08-31 Format Paperback Residence US Birth 1947 Imprint Penguin Books Subtitle The Great Theorems of Mathematics DOI 10.1604/9780140147391 Audience General/Trade UK Release Date 1900-01-01 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:43647412;

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