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October 21, 2010 | History

A mathematical tapestry 1 edition

A mathematical tapestry
Peter John Hilton

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A mathematical tapestry
demonstrating the beautiful unity of mathematics
Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer

Published 2010 by Cambridge University Press in New York .
Written in English.

About the Book

"This easy-to-read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth"--

"This easy-to-read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides as well as three-dimensional models known as polyhedra. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches"--

Edition Notes

Includes bibliographical references and index.

Classifications

Dewey Decimal Class
510
Library of Congress
QA36 .H53 2010

The Physical Object

Pagination
p. cm.

ID Numbers

Open Library
OL24383426M
Internet Archive
mathematicaltape00hilt_941
ISBN 13
9780521764100, 9780521128216
LC Control Number
2010010230

History

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October 21, 2010 Created by ImportBot initial import