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Journey Through Genius : The Great Theorems of Mathematics by William Dunham (1991, Uk-B Format Paperback)
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About this product
Product Identifiers
PublisherPenguin Publishing Group
ISBN-10014014739X
ISBN-139780140147391
eBay Product ID (ePID)20038292420
Product Key Features
Number of Pages320 Pages
LanguageEnglish
Publication NameJourney Through Genius : the Great Theorems of Mathematics
Publication Year1991
SubjectHistory & Philosophy, Essays, Science & Technology, Mathematical Analysis
TypeTextbook
Subject AreaMathematics, Biography & Autobiography
AuthorWilliam Dunham
FormatUk-B Format Paperback
Dimensions
Item Height0.6 in
Item Weight8 Oz
Item Length7.7 in
Item Width5 in
Additional Product Features
Intended AudienceTrade
LCCN00-001636
Dewey Edition20
Reviews"An inspired piece of intellectual history." — Los Angeles Times "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 "Dunham deftly guides the reader through the verbal and logical intricacies of major mathematical questions, conveying a splendid sense of how the greatest mathematicians from ancient to modern times presented their arguments." --Ivars Peterson, author of The Mathematical Tourist, "An inspired piece of intellectual history." — Los Angeles Times "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 "Dunham deftly guides the reader through the verbal and logical intricacies of major mathematical questions, conveying a splendid sense of how the greatest mathematicians from ancient to modern times presented their arguments." -Ivars Peterson, author of The Mathematical Tourist, "An inspired piece of intellectual history." -- Los Angeles Times "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 "Dunham deftly guides the reader through the verbal and logical intricacies of major mathematical questions, conveying a splendid sense of how the greatest mathematicians from ancient to modern times presented their arguments." -Ivars Peterson, author of The Mathematical Tourist, "An inspired piece of intellectual history." -- Los Angeles Times "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 "Dunham deftly guides the reader through the verbal and logical intricacies of major mathematical questions, conveying a splendid sense of how the greatest mathematicians from ancient to modern times presented their arguments." --Ivars Peterson, author of The Mathematical Tourist
Grade FromTwelfth Grade
Grade ToUP
Dewey Decimal510/.9
Table Of ContentJourney 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. Euclid's 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. Heron's 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 Newton's 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 Euler's 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
SynopsisLike 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. "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
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Most relevant reviews
- 27 Aug, 2019
97 % of all tec came from the western world
more math in the book than i wanted---i just wanted the history---lots of numbers in the bookVerified purchase: YesCondition: Pre-owned
- 11 May, 2024
Satisfied with my purchase.
Satisfied with my purchase.Verified purchase: YesCondition: Pre-owned
- 10 Jun, 2024
Everything great!
Everything great!Verified purchase: YesCondition: Pre-owned
