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Euler's gem: the polyhedron formula and the birth of topology [electronic resource]
서명 / 저자 Euler's gem [electronic resource] : the polyhedron formula and the birth of topology / David S. Richeson.
저자명 Richeson, David S. (David Scott)
단체명 ProQuest (Firm)
발행사항 Princeton, N.J. : Princeton University Press, c2008.
Online Access https://ebookcentral.proquest.com/lib/dgist-ebooks/detail.action?docID=712176 URL

서지기타정보

서지기타정보
청구기호 QA611.A3 R53 2008
형태사항 xii, 317 p. : ill., maps, ports.
언어 English
서지주기 Includes bibliographical references and index.
내용 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 K?onigsberg -- 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 Poincar?e and th ascendance of topology -- The million-dollar question.
주제 Topology --History.
Polyhedra.
ISBN 9780691126777 (alk. paper) , 0691126771 (alk. paper) , 9781400838561 (e-book)
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