Euler's Gem: The Polyhedron Formula and the Birth of Topology (Princeton Science Library) (English Edition)

Euler's Gem: The Polyhedron Formula and the Birth of Topology (Princeton Science Library) (English Edition)

作者
David S. Richeson
语言
英语
出版社
Princeton University Press 版次:第 Illustrated 版
出版日期
2019年7月23日
纸书页数
337页
电子书格式
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文件大小
8969 KB
下载次数
4804
更新日期
2023-07-01
运行环境
PC/Windows/Linux/Mac/IOS/iPhone/iPad/iBooks/Kindle/Android/安卓/平板
内容简介

How a simple equation reshaped mathematicsLeonhard 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 theorem is so simple it can be explained to a child. 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. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’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. This paperback edition contains a new preface by the author.

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