Description: Euler's GemThe Polyhedron Formula and the Birth of Topology Author(s): David S. Richeson Format: Paperback Publisher: Princeton University Press, United States Imprint: Princeton University Press ISBN-13: 9780691191379, 978-0691191379 Synopsis How a simple equation reshaped mathematics 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 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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Book Title: Euler's Gem
Item Height: 216 mm
Item Width: 140 mm
Series: Princeton Science Library
Author: David S. Richeson
Publication Name: Euler's Gem: the Polyhedron Formula and the Birth of Topology
Format: Paperback
Language: English
Publisher: Princeton University Press
Subject: Mathematics
Publication Year: 2019
Type: Textbook
Number of Pages: 336 Pages