Coverart for item
The Resource Euler's gem : the polyhedron formula and the birth of topology, David S. Richeson

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

Label
Euler's gem : the polyhedron formula and the birth of topology
Title
Euler's gem
Title remainder
the polyhedron formula and the birth of topology
Statement of responsibility
David S. Richeson
Creator
Subject
Genre
Language
eng
Summary
Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges
Cataloging source
N$T
http://library.link/vocab/creatorName
Richeson, David S.
Illustrations
  • illustrations
  • maps
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/subjectName
  • Topology
  • Polyhedra
  • MATHEMATICS
  • MATHEMATICS
  • Poliedros
  • Topología
  • Polyhedra
  • Topology
  • Algebraische Topologie
  • Euler-Poincaré-Charakteristik
  • Polyeder
Label
Euler's gem : the polyhedron formula and the birth of topology, David S. Richeson
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 295-308) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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 the ascendance of topology -- The million-dollar question
Control code
ocn753980256
Dimensions
unknown
Extent
1 online resource (xii, 317 pages)
File format
unknown
Form of item
online
Isbn
9781400838561
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
JSTOR
Other physical details
illustrations, maps
http://library.link/vocab/ext/overdrive/overdriveId
  • cl0500000121
  • 22573/cttf67k
  • d2a2b475-7d0d-4173-8ff3-b0be7de9700e
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)753980256
Label
Euler's gem : the polyhedron formula and the birth of topology, David S. Richeson
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 295-308) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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 the ascendance of topology -- The million-dollar question
Control code
ocn753980256
Dimensions
unknown
Extent
1 online resource (xii, 317 pages)
File format
unknown
Form of item
online
Isbn
9781400838561
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
JSTOR
Other physical details
illustrations, maps
http://library.link/vocab/ext/overdrive/overdriveId
  • cl0500000121
  • 22573/cttf67k
  • d2a2b475-7d0d-4173-8ff3-b0be7de9700e
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)753980256

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      32.771354 -117.193327
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