A Mathematical Tapestry : Demonstrating the Beautiful Unity of Mathematics
Book Details
Format
Paperback / Softback
ISBN-10
0521128218
ISBN-13
9780521128216
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jul 22nd, 2010
Print length
306 Pages
Weight
62 grams
Dimensions
24.70 x 17.10 x 1.60 cms
Product Classification:
MathematicsNumber theoryGeometry
Ksh 5,200.00
Manufactured on Demand
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Using the simple geometric idea of systematic paper folding, the authors of this 2010 book demonstrate the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions show how to build three-dimensional polygons that help the reader unearth some surprising and delightful results.
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.
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