A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics by Peter Hilton (PDF)

Description

This easy-to-read 2010 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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Bought as a gift for my nephew who is mad about all things mathematical – he loved it so I’m happy!

⭐This is a very important book, way more important than the authors even realised themselves, a must read for anyone interested in math and in particular about number theory.

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A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics 2010 PDF Free Download
Download A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics PDF
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