Research Catalog

Euler's gem the polyhedron formula and the birth of topology

Title
Euler's gem [electronic resource] : the polyhedron formula and the birth of topology / David S. Richeson.
Author
Richeson, David S. (David Scott)
Publication
Princeton, N.J. : Princeton University Press, c2008.

Available Online

  • Available from home with a valid library card
  • Available onsite at NYPL

Details

Description
1 online resource (xii, 317 p.) : ill., maps.
Uniform Title
Euler's gem (Online)
Alternative Title
Euler's gem (Online)
Subject
  • Topology > History
  • Polyhedra
Bibliography (note)
  • Includes bibliographical references (p. [295]-308) and index.
Access (note)
  • Access restricted to authorized users.
Contents
Leonhard Euler and his three "great" friends -- What is a polyhedron? -- The five perfect bodies -- The Pythagorean brotherhood and Plato's atomic theory -- Euclid and his elements -- Kepler's polyhedral universe -- Euler's gem -- Platonic solids, gold balls, Fullerenes, and geodesic domes -- Scooped by Descartes? -- Legendre gets it right -- A stroll through Königsberg -- Cauchy's flattened polyhedra -- Planar graphs, geoboards, and brussels sprouts -- It's a colorful world -- New problems and new proofs -- Rubber sheets, hollow doughnuts, and crazy bottles -- Are they the same, or are they different? -- A knotty problem -- Combing the hair on a coconut -- When topology controls geometry -- The topology of curvy surfaces -- Navigating in n dimensions -- Henri Poincaré and th ascendance of topology -- The million-dollar question.
LCCN
2008062108
OCLC
ssj0000536420
Author
Richeson, David S. (David Scott)
Title
Euler's gem [electronic resource] : the polyhedron formula and the birth of topology / David S. Richeson.
Imprint
Princeton, N.J. : Princeton University Press, c2008.
Bibliography
Includes bibliographical references (p. [295]-308) and index.
Access
Access restricted to authorized users.
Connect to:
Available from home with a valid library card
Available onsite at NYPL
View in Legacy Catalog