A Mathematical Tapestry
Demonstrating the Beautiful Unity of Mathematics
by Peter Hilton, Jean Pedersen, and Sylvie Donmoyer
"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"--
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Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
2010, Cambridge University Press
in English
0511773978 9780511773976
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A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
2010, Cambridge University Press
in English
0521764106 9780521764100
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Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
2010, Cambridge University Press
in English
0511771371 9780511771378
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A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
2010, Cambridge University Press
in English
0511777000 9780511777004
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Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
2010, Cambridge University Press
in English
0511775032 9780511775031
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A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
2010, Cambridge University Press
in English
0521764106 9780521764100
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Book Details
Edition Notes
Includes bibliographical references and index.
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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.
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| January 3, 2023 | Edited by MARC Bot | import existing book |
| November 14, 2021 | Edited by dcapillae | Edited without comment. |
| November 14, 2021 | Edited by dcapillae | fix title |
| November 14, 2021 | Edited by dcapillae | fix title |
| October 21, 2010 | Created by ImportBot | initial import |