Euler's Gem
by David S. Richeson
2020-12-29 18:09:13
How a simple equation reshaped mathematics Leonhard Eulerâs polyhedron formula describes the structure of many objectsâfrom soccer balls and gemstones to Buckminster Fullerâs buildings and giant all-carbon molecules. Yet Eulerâs t...
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How a simple equation reshaped mathematics Leonhard Eulerâs polyhedron formula describes the structure of many objectsâfrom soccer balls and gemstones to Buckminster Fullerâs buildings and giant all-carbon molecules. Yet Eulerâs theorem is so simple it can be explained to a child. From ancient Greek geometry to todayâs cutting-edge research, Eulerâs Gem celebrates the discovery of Eulerâs 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 ideaâs 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 whoâs who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theoremâs development, Eulerâs Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.
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