Kniha Mathematical Tapestry Peter Hilton

Mathematical Tapestry

Demonstrating the Beautiful Unity of Mathematics

Autor: Peter Hilton
Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-18 dnů
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This easy-to-read 2010 book demonstrates how a simple geometric idea reveals fascinating connections...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2010
Stránek
306
EAN
9780521128216
ISBN
0521128218
Enbook ID
04090655
Hmotnost
62
Rozměry
171 x 247 x 16

Kompletní popis

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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