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110921s2008 nju o 00 0 eng d |
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|a 9781400838561
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|z 0691126771
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|z 0691154570
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|z 1400838568
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|z 9780691154572
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|z 9780691126777
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|a (OCoLC)753980256
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|a MdBmJHUP
|c MdBmJHUP
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|a Richeson, David S.
|q (David Scott)
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245 |
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|a Euler's Gem :
|b The Polyhedron Formula and the Birth of Topology /
|c David S. Richeson.
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264 |
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|a Princeton, N.J. :
|b Princeton University Press,
|c 2008.
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264 |
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|a Baltimore, Md. :
|b Project MUSE,
|c 2015
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264 |
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|c ©2008.
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300 |
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|a 1 online resource (336 pages):
|b illustrations, maps
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336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a 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 Poincare and the ascendance of topology -- The million-dollar question.
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|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.
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546 |
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|a English.
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588 |
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|a Description based on print version record.
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650 |
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7 |
|a Polyeder
|2 gnd
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650 |
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7 |
|a Euler-Poincare-Charakteristik
|2 gnd
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650 |
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7 |
|a Algebraische Topologie
|2 gnd
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650 |
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7 |
|a Topology.
|2 fast
|0 (OCoLC)fst01152692
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650 |
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7 |
|a Polyhedra.
|2 fast
|0 (OCoLC)fst01070511
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650 |
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7 |
|a Topología
|v Historia
|2 embne
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650 |
|
7 |
|a Poliedros
|2 embne
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650 |
|
7 |
|a MATHEMATICS
|x Geometry
|x General.
|2 bisacsh
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650 |
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7 |
|a MATHEMATICS
|x Topology.
|2 bisacsh
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650 |
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7 |
|a polyhedra.
|2 aat
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650 |
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6 |
|a Polyedres.
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650 |
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6 |
|a Topologie
|x Histoire.
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650 |
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0 |
|a Polyhedra.
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650 |
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0 |
|a Topology
|x History.
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655 |
|
7 |
|a History.
|2 fast
|0 (OCoLC)fst01411628
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655 |
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7 |
|a Electronic books.
|2 local
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710 |
2 |
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|a Project Muse.
|e distributor
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830 |
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0 |
|a Book collections on Project MUSE.
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856 |
4 |
0 |
|z Texto completo
|u https://projectmuse.uam.elogim.com/book/30268/
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945 |
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|a Project MUSE - Custom Collection
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945 |
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|a Project MUSE - Archive Complete Supplement III
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945 |
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|a Project MUSE - Archive History Supplement III
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