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Euler's Gem: The Polyhedron Formula and the Birth of Topology (Princeton Science Library) - Softcover
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.
"synopsis" may belong to another edition of this title.
About the Author
David S. Richeson is professor of mathematics at Dickinson College.
Review
“David Richeson’s Euler’s Gem does an outstanding job of explaining serious mathematics to a general audience. . . . The book succeeds at showing the reader a lot of attractive mathematics with a well-chosen level of technical detail.”―Jeremy L. Martin, Notices of the AMS
“The author has achieved a remarkable feat, introducing a naïve reader to a rich history without compromising the insights and without leaving out a delicious detail. . . . An awe-inspiring experience.”―Choice
“It was a pleasure reading this book, and I recommend it to everyone who is not afraid of mathematical arguments and has ever wondered what this field of ‘rubbersheet geometry’ is about. You will not be disappointed.”―Jeanine Daems, Mathematical Intelligencer
“This is an excellent book about a great man and a timeless formula.”―Charles Ashbacher, Journal of Recreational Mathematics
"About this title" may belong to another edition of this title.
- PublisherPrinceton University Press
- Publication date2019
- ISBN 10 0691191379
- ISBN 13 9780691191379
- BindingPaperback
- LanguageEnglish
- Number of pages336
- Rating
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Paperback. Condition: new. Paperback. 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. 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, Eul Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780691191379
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