Archimedes. What Did He Do Besides Cry Eureka?

Sherman Stein

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Sherman Stein - Archimedes. What Did He Do Besides Cry Eureka?.
THIS BOOK HAS ONLY ONE PURPOSE: To make the discoveries of Archimedes easily accessible to a wide audience, from anyone with a background in high school... Lire la suite
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Résumé

THIS BOOK HAS ONLY ONE PURPOSE: To make the discoveries of Archimedes easily accessible to a wide audience, from anyone with a background in high school algebra to a busy practicing mathematician. Many people have heard two things about Archimedes: He was the greatest mathematician of antiquity and he ran naked from his bath crying, "Eureka, eureka!" Few of us, layperson or mathematician, are familiar with the accomplishments on which his reputation rests. This book describes in detail those astonishing accomplishments: how he developed the theory of the lever and the center of gravity; how he used the center of gravity to study whether a floating object would tip over; how he summed a geometric series and the squares; and how he found the volume and surface area of a sphere. His ability to do so much with the few tools at his disposal is astonishing. He was like a one-person Institute for Advanced Study, making fundamental discoveries in the fields of geometry, mechanics and hydrostatics. The exposition is leisurely and supported by a brief life of Archimedes and some 120 illustrations. Any reader who is aware that the graph of y = x2 is a parabola can follow all the reasoning. Although the book uses only high school mathematics, professional mathematicians will find much here of interest as well.

Sommaire

    • The Life of Archimedes? The Law of the Lever
    • Center of Gravity
    • Big Literary Find in Constantinople
    • The Mechanical Method
    • Two Sums
    • The Parabola
    • Floating Bodies
    • The Spiral
    • The Sphere
    • Archimedes Traps (.

Caractéristiques

  • Date de parution
    01/01/1999
  • Editeur
  • ISBN
    0-88385-718-9
  • EAN
    9780883857182
  • Présentation
    Broché
  • Nb. de pages
    155 pages
  • Poids
    0.24 Kg
  • Dimensions
    15,2 cm × 22,9 cm × 1,0 cm

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À propos de l'auteur

Biographie de Sherman Stein

Sherman Stein received his Ph.D. from Columbia University. After a one-year instructorship at Princeton University, he joined the faculty at the University of California, Davis, where he taught until 1993. His main mathematical interests are in algebra, combinatorics, and pedagogy. He has been the recipient of two MAA awards: the Lester R. Ford Award for Mathematical Exposition, and the Beckenbach Book Prize for Algebra and Tiling (with Sandor Szabo, published by MAA). He has also received The Distinguished Teaching Award from the University of California, Davis, and an honorary Doctor of Humane Letters from Marietta College. His many publications include: Mathematics: The Man-made Universe, Geometry: A Guided Inquiry (with C. Crabill and G. D. Chakerian), Calculus and Analytic Geometry (with Anthony Barcellos) and Strength in Numbers.

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