Jump to ContentJump to Main Navigation
Show Summary Details

Richeson, David S.

Euler's Gem

The Polyhedron Formula and the Birth of Topology

With an introd. by Richeson, David S.

PRINCETON UNIVERSITY PRESS

    45,95 € / $52.50 / £41.00*

    eBook (PDF)
    Publication Date:
    2019
    Copyright year:
    2019
    To be published:
    July 2019
    ISBN
    978-0-691-19199-7
    See all formats and pricing

    Overview

    Aims and Scope

    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.

    Details

    221 b/w illus. 8 tables.
    PRINCETON UNIVERSITY PRESS
    Language:
    English
    Readership:
    Professional and scholarly;College/higher education;

    More ...

    David S. Richeson is professor of mathematics at Dickinson College.

    Comments (0)

    Please log in or register to comment.
    Log in