Journey through Genius: The Great Theorems of Mathematics

Journey through Genius: The Great Theorems of Mathematics (English, Paperback, William Dunham)

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Journey through Genius: The Great Theorems of Mathematics  (English, Paperback, William Dunham)

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    Highlights
    • Language: English
    • Binding: Paperback
    • Publisher: Penguin Publishing Group
    • Genre: Mathematics
    • ISBN: 9780140147391, 014014739X
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    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.

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    Book Details
    Table of Contents
      • 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

      Afterworld
      Chapter Notes
      References
      Index

    Dimensions
    Width
    • 0.6 in
    Height
    • 7.76
    Length
    • 5.09 in
    Weight
    • 0.4900 lb
    Ratings & Reviews
    4.9
    8 Ratings &
    3 Reviews
    • 5
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    5

    Totally worth it!!!

    I am really interested in learning maths and physics and this book was a really fun ride through all of mathematics. Not only history, but it also gives many interesting facts and theorems. Highly recommended!!!
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    Andy

    Certified Buyer

    19 Sep, 2012

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    5

    Excellent Last Few Chapters

    This book is worth the effort just for its last few chapters on Cantor and infinite sets. The rest of the book is excellent as well.
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    Sidharth

    Certified Buyer, Mumbai

    4 Apr, 2014

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    5

    A book exposing the beauty of mathematics

    This is a lucidly written book written for non mathematicians. The history of mathematics is beautifully depicted in this book. I was so inspired by this book that I took an online course in higher mathematics and precalculus. I even sent a copy of this book to my uncle who also highly recommended this book.
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    Rhitansu Ghosal

    Certified Buyer, Kolkata

    25 Dec, 2015

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