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Euler's gem : the polyhedron formula and the birth of topology

Author: David S Richeson
Publisher: Princeton, N.J. : Princeton University Press, ©2008.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
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 formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea --Front jacket flap.
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Genre/Form: History
Historia
Document Type: Book
All Authors / Contributors: David S Richeson
ISBN: 9780691126777 0691126771
OCLC Number: 225091369
Awards: Winner of Mathematical Association of America's Euler Book Prize 2010.
Runner-up for Choice Magazine Outstanding Reference/Academic Book Award 2009.
Description: xii, 317 p. : ill., maps ; 24 cm.
Contents: Leonhard Euler and his three "great" friends --
What is a polyhedron? --
The five perfect bodies --
The Pythagorean brotherhood and Plato's atomic theory --
Euclid and his elements --
Kepler's polyhedral universe --
Euler's gem --
Platonic solids, gold balls, Fullerenes, and geodesic domes --
Scooped by Descartes? --
Legendre gets it right --
A stroll through Königsberg --
Cauchy's flattened polyhedra --
Planar graphs, geoboards, and Brussels sprouts --
It's a colorful world --
New problems and new proofs --
Rubber sheets, hollow doughnuts, and crazy bottles --
Are they the same, or are they different? --
A knotty problem --
Combing the hair on a coconut --
When topology controls geometry --
The topology of curvy surfaces --
Navigating in n dimensions --
Henri Poincaré and the ascendance of topology --
The million-dollar question.
Responsibility: David S. Richeson.
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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. This work celebrates  Read more...

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Winner of the 2010 Euler Book Prize, Mathematical Association of America One of Choice's Outstanding Academic Titles for 2009 "The author has achieved a remarkable feat, introducing a nave reader to Read more...

 
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