Richeson, David S. <br/><br/>
Euler's gem :  the polyhedron formula and the birth of topology / 
David S. Richeson. 
 - Princeton, N.J. :  Princeton University Press,  c2008. 
 - xii, 317 p. :  ill., maps ;  24 cm. 
<br/><br/>Includes bibliographical references (p. [295]-308) and index. 
<br/><br/>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 KoÌnigsberg -- 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 PoincareÌ and the ascendance of topology -- The million-dollar question. 
<br/><br/><label>ISBN: </label>9780691126777 (alk. paper) 0691126771 (alk. paper) 
<br/><br/><label>LCCN: </label>2008062108 
<br/><br/><label>Nat. Bib. No.: </label>GBA888251  bnb 
<br/><br/><label>Nat. Bib. Agency Control No.: </label>014668593  Uk 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Topology--History.<br/>Polyhedra.
<br/><br/><label>LC Class. No.: </label>QA611.A3  / R53 2008 
<br/><br/><label>Dewey Class. No.: </label>514.09