Euler's Gem: The Polyhedron Formula and the Birth of Topology
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- $10.98/拢9.00
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$21.95/拢17.99 - ISBN:
- Published:
- Jul 23, 2019
- Copyright:
- 2019
- 221 b/w illus. 8 tables.
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Leonhard Euler鈥檚 polyhedron formula describes the structure of many objects鈥攆rom soccer balls and gemstones to Buckminster Fuller鈥檚 buildings and giant all-carbon molecules. Yet Euler鈥檚 theorem is so simple it can be explained to a child. From ancient Greek geometry to today鈥檚 cutting-edge research, Euler鈥檚 Gem celebrates the discovery of Euler鈥檚 beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea鈥檚 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鈥檚 who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem鈥檚 development, Euler鈥檚 Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.
