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Archimedes the Geometer

Extending His Tombstone Theorem into the Twenty-First Century
  • Mamikon MnatsakanianEmail author
Chapter
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Part of the Trends in the History of Science book series (TRENDSHISTORYSCIENCE)

Abstract

Archimedes was a physicist, engineer, mathematician, and astronomer—but above all he was a geometer. He requested that the geometric result he was most proud of—that first revealed the volume and surface area of a sphere—be inscribed on his tombstone. This result is now known as his Tombstone Theorem and here we present a variety of extensions and generalizations of it for the 21st century.

Bibliography

  1. 1.
    George F. Simmons, Calculus Gems, p. 43, McGraw-Hill, 1992.Google Scholar
  2. 2.
    Thomas L. Heath, The Works of Archimedes, Dover Publications, 2002.Google Scholar
  3. 3.
    Tom M. Apostol and Mamikon A. Mnatsakanian, New Horizons in Geometry, MAA, 2012.Google Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.California Institute of TechnologyPasadenaUSA

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