Mathematical Tapestry

Mathematical Tapestry
Peter Hilton, Jean Pedersen, S ...
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Last edited by ImportBot
September 17, 2024 | History

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.

Publish Date
Language
English
Pages
320

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Previews available in: English

Edition Availability
Cover of: A Mathematical Tapestry
A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
2010, Cambridge University Press
in English
Cover of: A Mathematical Tapestry
A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
2010, Cambridge University Press
in English
Cover of: Mathematical Tapestry
Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
2010, Cambridge University Press
in English
Cover of: Mathematical Tapestry
Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
2010, Cambridge University Press
in English
Cover of: Mathematical Tapestry
Mathematical Tapestry
2010, Cambridge University Press
in English
Cover of: A Mathematical Tapestry
A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
2010, Cambridge University Press
in English
Cover of: Mathematical Tapestry
Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
2010, Cambridge University Press
in English

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Book Details


Classifications

Dewey Decimal Class
510

ID Numbers

Open Library
OL53945074M
ISBN 13
9781282723429

Source records

Better World Books record

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September 17, 2024 Created by ImportBot Imported from Better World Books record