Euler's Gem: he Polyhedron Formula and the birth of topology
How a simple equation reshaped mathematicsLeonhard 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 theorem is so simple it can be explained to a child. From...
Gespeichert in:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2019]
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| Online-Zugang: | DE-1043 DE-1046 DE-858 DE-Aug4 DE-898 DE-859 DE-860 DE-20 DE-706 DE-739 URL des Erstveröffentlichers |
| Zusammenfassung: | How a simple equation reshaped mathematicsLeonhard 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 theorem is so simple it can be explained to a child. 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. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Jul 2019) |
| Beschreibung: | 1 Online-Ressource (XVI, 317 Seiten) Illustrationen |
| ISBN: | 9780691191997 |
| DOI: | 10.1515/9780691191997 |
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| spelling | Richeson, David S. Verfasser (DE-588)1197266526 aut Euler's Gem he Polyhedron Formula and the birth of topology David S. Richeson Princeton, NJ Princeton University Press [2019] © 2019 1 Online-Ressource (XVI, 317 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Jul 2019) How a simple equation reshaped mathematicsLeonhard 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 theorem is so simple it can be explained to a child. 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. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author In English MATHEMATICS / History & Philosophy bisacsh 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 https://doi.org/10.1515/9780691191997 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Richeson, David S. Euler's Gem he Polyhedron Formula and the birth of topology MATHEMATICS / History & Philosophy bisacsh 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 he Polyhedron Formula and the birth of topology |
| title_auth | Euler's Gem he Polyhedron Formula and the birth of topology |
| title_exact_search | Euler's Gem he Polyhedron Formula and the birth of topology |
| title_full | Euler's Gem he Polyhedron Formula and the birth of topology David S. Richeson |
| title_fullStr | Euler's Gem he Polyhedron Formula and the birth of topology David S. Richeson |
| title_full_unstemmed | Euler's Gem he Polyhedron Formula and the birth of topology David S. Richeson |
| title_short | Euler's Gem |
| title_sort | euler s gem he polyhedron formula and the birth of topology |
| title_sub | he Polyhedron Formula and the birth of topology |
| topic | MATHEMATICS / History & Philosophy bisacsh Polyeder (DE-588)4132101-7 gnd Topologie (DE-588)4060425-1 gnd Geschichte (DE-588)4020517-4 gnd |
| topic_facet | MATHEMATICS / History & Philosophy Polyeder Topologie Geschichte |
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