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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