عنوان

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

Title Proper

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

Place of Publication, Distribution, etc.

Princeton, N.J.

Name of Publisher, Distributor, etc.

Princeton University Press

Date of Publication, Distribution, etc.

2008

Specific Material Designation and Extent of Item

xii, 317 p. : illus, maps, tables

Text of Note

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

Text of Note

David S. Richeson

Text of Note

1

Text of Note

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 Konigsberg -- 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 Poincare and th ascendance of topology -- The million-dollar question

Entry Element

History ، Topology

Entry Element

، Polyhedra

Number

Class number

Entry Element

Richeson, David S. )David Scott(

Relator Code

AU

TI