Euler\'s Gem: The Polyhedron Formula and the Birth of Topology

$Euler\'s Gem: The Polyhedron Formula and the Birth of Topology$

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作者: Richeson , David

出版社: Princeton University Press

出版时间: 2012-04

ISBN: 9780691154572

页数: 317页

分类: 外文古旧书>英文书>教材教辅考试

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, 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.,
内容简介:
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, 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.,

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$Euler\'s Gem: The Polyhedron Formula and the Birth of Topology$
$Euler\'s Gem: The Polyhedron Formula and the Birth of Topology$

英文原版 Euler's Gem: The Polyhedron Formula and the Birth of Topology 欧拉宝石：多面体公式和拓扑的诞生 David S. Richeson 英文版进口英语原版书籍书籍内容简介可联系客服查阅，查书找书开票同样可以联系客服

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$Euler\'s Gem: The Polyhedron Formula and the Birth of Topology$
$Euler\'s Gem: The Polyhedron Formula and the Birth of Topology$

英文原版 Euler's Gem: The Polyhedron Formula and the Birth of Topology 欧拉宝石：多面体公式和拓扑的诞生 David S. Richeson 英文版进口英语原版书籍书籍内容简介可联系客服查阅，查书找书开票同样可以联系客服

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$Euler\'s Gem: The Polyhedron Formula and the Birth of Topology$
$Euler\'s Gem: The Polyhedron Formula and the Birth of Topology$

英文原版 Euler's Gem: The Polyhedron Formula and the Birth of Topology 欧拉宝石：多面体公式和拓扑的诞生 David S. Richeson 英文版进口英语原版书籍书籍内容简介可联系客服查阅，查书找书开票同样可以联系客服

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$Euler\'s Gem: The Polyhedron Formula and the Birth of Topology$
$Euler\'s Gem: The Polyhedron Formula and the Birth of Topology$

英文原版 Euler's Gem: The Polyhedron Formula and the Birth of Topology 欧拉宝石：多面体公式和拓扑的诞生 David S. Richeson 英文版进口英语原版书籍书籍内容简介可联系客服查阅，查书找书开票同样可以联系客服

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$Euler\'s Gem: The Polyhedron Formula and the Birth of Topology$
$Euler\'s Gem: The Polyhedron Formula and the Birth of Topology$

英文原版 Euler's Gem: The Polyhedron Formula and the Birth of Topology 欧拉宝石：多面体公式和拓扑的诞生 David S. Richeson 英文版进口英语原版书籍书籍内容简介可联系客服查阅，查书找书开票同样可以联系客服

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