Euler's Gem The Polyhedron Formula and the Birth of Topology 

Author:
 Richeson, David S. 
Preface by:
 Richeson, David S. 
ISBN:  9780691191379 
Publication Date:  Jul 2019 
Publisher:  Princeton University Press

Book Format:  Paperback 
List Price:  USD $19.95 
Book Description:

How a simple equation reshaped mathematics
Leonhard Euler's polyhedron formula describes the structure of many objectsfrom soccer balls and gemstones to Buckminster Fuller's buildings and giant allcarbon molecules. Yet Euler's theorem is so simple it can be explained to a child. From ancient Greek geometry to today's cuttingedge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its farreaching impact on topology, the...
More Description
How a simple equation reshaped mathematics
Leonhard Euler's polyhedron formula describes the structure of many objectsfrom soccer balls and gemstones to Buckminster Fuller's buildings and giant allcarbon molecules. Yet Euler's theorem is so simple it can be explained to a child. From ancient Greek geometry to today's cuttingedge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its farreaching 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.