Produktbild: Journey Through Genius

Journey Through Genius The Great Theorems of Mathematics

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.08.1991

Verlag

Penguin US

Seitenzahl

320

Maße (L/B/H)

20/12,6/1,4 cm

Gewicht

218 g

Sprache

Englisch

ISBN

978-0-14-014739-1

Beschreibung

Rezension

"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

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.08.1991

Verlag

Penguin US

Seitenzahl

320

Maße (L/B/H)

20/12,6/1,4 cm

Gewicht

218 g

Sprache

Englisch

ISBN

978-0-14-014739-1

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Journey Through Genius
  • 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. 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