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Euler's gem : the polyhedron formula and the birth of topology / David S. Richeson.

By: Publication details: Princeton, N.J. : Princeton University Press, c2008.Description: xii, 317 p. : ill., maps ; 24 cmISBN:
  • 9780691126777 (alk. paper)
  • 0691126771 (alk. paper)
Subject(s): DDC classification:
  • 514.09 22
LOC classification:
  • QA611.A3 R53 2008
Online resources:
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 KoÌnigsberg -- 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 PoincareÌ and the ascendance of topology -- The million-dollar question.
Holdings
Item type Current library Shelving location Call number Copy number Status Date due Barcode
Book Book NMC Library Stacks QA611 .A3 R53 2008 (Browse shelf(Opens below)) 1 Available 33039001111706

Includes bibliographical references (p. [295]-308) and index.

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 KoÌnigsberg -- 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 PoincareÌ and the ascendance of topology -- The million-dollar question.

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