000			02363cam a2200277zu 4500
001			88838056
003			FRCYB88838056
005			20251020123709.0
006			m o d
007			cr un
008			251020s2012 fr | o|||||0|0|||eng d
020			_a9780691126777
035			_aFRCYB88838056
040			_aFR-PaCSA _ben _c _erda
100	1		_aRicheson, David S.
245	0	1	_aEuler's Gem _bThe Polyhedron Formula and the Birth of Topology _c['Richeson, David S.']
264		1	_bPrinceton University Press _c2012
300			_a p.
336			_btxt _2rdacontent
337			_bc _2rdamdedia
338			_bc _2rdacarrier
650		0	_a
700	0		_aRicheson, David S.
856	4	0	_2Cyberlibris _uhttps://international.scholarvox.com/netsen/book/88838056 _qtext/html _a
520			_aLeonhard 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, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler's formula. Using wonderful examples and numerous illustrations, Richeson presents the formula'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.
999			_c1555078 _d1555078