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A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics

A Mathematical Tapestry

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"A Mathematical Tapestry" by Peter Hilton, Jean Pedersen is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

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.

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Best For: Students and readers interested in the connections between geometry and number theory.
Focus: Exploring how a geometric paper-folding method relates to number theory, polyhedra, combinatorial geometry, and group theory.
Covers: The construction of regular polygons through paper folding and its implications in various mathematical fields.
Why It Matters: It provides a clear example of how a simple geometric concept can unify different areas of mathematics and lead to new proofs and insights.

"A Mathematical Tapestry" by Peter Hilton, Jean Pedersen is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Peter Hilton, Jean Pedersen

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

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.

AuthorPeter Hilton, Jean Pedersen
PublisherCambridge University Press
Published2010-07-22
ISBN-139780521764100
BindingHardcover
Pages308
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics

Format: Hardcover

Length: 308 pages

Language: English

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