Archimedes in the 21st Century
Archimedes in the 21st Century pp 41-61 | Cite as
Archimedes the Geometer
Extending His Tombstone Theorem into the Twenty-First Century
Mamikon Mnatsakanian
Part of the Trends in the History of Science book series (TRENDSHISTORYSCIENCE)
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.
Archimedes was a great civilization all by himself . [1]
George F. Simmons, Calculus Gems, p. 43, McGraw-Hill, 1992.Google Scholar
Thomas L. Heath, The Works of Archimedes, Dover Publications, 2002.Google Scholar
Tom M. Apostol and Mamikon A. Mnatsakanian, New Horizons in Geometry, MAA, 2012.Google Scholar
© Springer International Publishing AG 2017
1.California Institute of TechnologyPasadenaUSA
Mnatsakanian M. (2017) Archimedes the Geometer. In: Rorres C. (eds) Archimedes in the 21st Century. Trends in the History of Science. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-58059-3_3
Publisher Name Birkhäuser, Cham
eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)