Euler's gem: the polyhedron formula and the birth of topology
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
©2008
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (pages 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 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 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 |
| Beschreibung: | 1 Online-Ressource (xii, 317 pages) |
| ISBN: | 0691126771 0691154570 1400838568 9780691126777 9780691154572 9781400838561 |
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| 500 | |a 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 | ||
| 650 | 4 | |a Topology / History | |
| 650 | 4 | |a Polyhedra | |
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Datensatz im Suchindex
| _version_ | 1804175539336904704 |
|---|---|
| any_adam_object | |
| author | Richeson, David S., (David Scott) |
| author_facet | Richeson, David S., (David Scott) |
| author_role | aut |
| author_sort | Richeson, David S., (David Scott) |
| author_variant | d s d s r dsds dsdsr |
| building | Verbundindex |
| bvnumber | BV043115308 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)753980256 (DE-599)BVBBV043115308 |
| dewey-full | 514.09 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.09 |
| dewey-search | 514.09 |
| dewey-sort | 3514.09 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043115308 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:54Z |
| institution | BVB |
| isbn | 0691126771 0691154570 1400838568 9780691126777 9780691154572 9781400838561 |
| language | English |
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| physical | 1 Online-Ressource (xii, 317 pages) |
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| publisher | Princeton University Press |
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| spelling | Richeson, David S., (David Scott) Verfasser aut Euler's gem the polyhedron formula and the birth of topology David S. Richeson Princeton, N.J. Princeton University Press ©2008 1 Online-Ressource (xii, 317 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 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 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 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 Topology / History Polyhedra MATHEMATICS / Topology bisacsh MATHEMATICS / Geometry / General bisacsh Poliedros embne Topología / Historia embne Polyhedra fast Topology fast Algebraische Topologie gnd Euler-Poincaré-Charakteristik gnd Polyeder gnd Algebraische Topologie swd Euler-Poincaré-Charakteristik swd Polyeder swd Geschichte Topology History Polyeder (DE-588)4132101-7 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Geschichte (DE-588)4020517-4 gnd rswk-swf Polyeder (DE-588)4132101-7 s Topologie (DE-588)4060425-1 s Geschichte (DE-588)4020517-4 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=375313 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Richeson, David S., (David Scott) Euler's gem the polyhedron formula and the birth of topology Topology / History Polyhedra MATHEMATICS / Topology bisacsh MATHEMATICS / Geometry / General bisacsh Poliedros embne Topología / Historia embne Polyhedra fast Topology fast Algebraische Topologie gnd Euler-Poincaré-Charakteristik gnd Polyeder gnd Algebraische Topologie swd Euler-Poincaré-Charakteristik swd Polyeder swd Geschichte Topology History Polyeder (DE-588)4132101-7 gnd Topologie (DE-588)4060425-1 gnd Geschichte (DE-588)4020517-4 gnd |
| subject_GND | (DE-588)4132101-7 (DE-588)4060425-1 (DE-588)4020517-4 |
| title | Euler's gem the polyhedron formula and the birth of topology |
| title_auth | Euler's gem the polyhedron formula and the birth of topology |
| title_exact_search | Euler's gem the polyhedron formula and the birth of topology |
| title_full | Euler's gem the polyhedron formula and the birth of topology David S. Richeson |
| title_fullStr | Euler's gem the polyhedron formula and the birth of topology David S. Richeson |
| title_full_unstemmed | Euler's gem the polyhedron formula and the birth of topology David S. Richeson |
| title_short | Euler's gem |
| title_sort | euler s gem the polyhedron formula and the birth of topology |
| title_sub | the polyhedron formula and the birth of topology |
| topic | Topology / History Polyhedra MATHEMATICS / Topology bisacsh MATHEMATICS / Geometry / General bisacsh Poliedros embne Topología / Historia embne Polyhedra fast Topology fast Algebraische Topologie gnd Euler-Poincaré-Charakteristik gnd Polyeder gnd Algebraische Topologie swd Euler-Poincaré-Charakteristik swd Polyeder swd Geschichte Topology History Polyeder (DE-588)4132101-7 gnd Topologie (DE-588)4060425-1 gnd Geschichte (DE-588)4020517-4 gnd |
| topic_facet | Topology / History Polyhedra MATHEMATICS / Topology MATHEMATICS / Geometry / General Poliedros Topología / Historia Topology Algebraische Topologie Euler-Poincaré-Charakteristik Polyeder Geschichte Topology History Topologie |
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