Euler's gem : the polyhedron formula and the birth of topology

Main Author: Richeson
Format: Book
Language:English
Published: Princeton, N.J.: Princeton University Press, 2008.
Subjects:
LEADER 01528pamaa2200205 4500
001 0000049408
005 20121206090000.0
008 110726 eng
020 0 0 |a 9780691126777  
090 0 0 |a QA611.A3   |b RIC 2008 
100 1 0 |a Richeson  
245 1 0 |a Euler's gem :   |b the polyhedron formula and the birth of topology   |c David S. Richeson. 
260 0 0 |a Princeton, N.J.:   |b Princeton University Press,   |c 2008. 
300 |a xii, 317 p.:   |b ill., maps;   |c 24 cm. 
500 0 0 |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 Kn̲igsberg -- Cauchy's flattened polyhedra -- Planar graphs, geoboards, and brussels sprouts -- It's a<U+000d><U+000a> 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 ̌and th ascendance of topology -- The million-dollar question 
501 0 0 |a FAS 
504 0 0 |a Includes bibliographical references (p. [295]-308) and index 
650 0 0 |a Topology --   |x History  
650 0 0 |a Polyhedra  
901 |u www.press.princeton.edu