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Books > Science & Mathematics > Mathematics > Topology
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The Tiling Book - An Introduction to the Mathematical Theory of Tilings (Hardcover)
Loot Price: R1,515
Discovery Miles 15 150
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The Tiling Book - An Introduction to the Mathematical Theory of Tilings (Hardcover)
Series: Miscellaneous Books
Supplier out of stock. If you add this item to your wish list we will let you know when it becomes available.
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Tiling theory provides a wonderful opportunity to illustrate both
the beauty and utility of mathematics. It has all the relevant
ingredients: there are stunning pictures; open problems can be
stated without having to spend months providing the necessary
background; and there is both deep mathematics and applications.
Furthermore, tiling theory happens to be an area where many of the
sub-fields of mathematics overlap. Tools can be applied from linear
algebra, algebra, analysis, geometry, topology, and combinatorics.
As such, it makes for an ideal capstone course for undergraduates
or an introductory course for graduate students. This material can
also be used for a lower-level course by skipping the more
technical sections. In addition, readers from a variety of
disciplines can read the book on their own to find out more about
this intriguing subject. This book covers the necessary background
on tilings and then delves into a variety of fascinating topics in
the field, including symmetry groups, random tilings, aperiodic
tilings, and quasicrystals. Although primarily focused on tilings
of the Euclidean plane, the book also covers tilings of the sphere,
hyperbolic plane, and Euclidean 3-space, including knotted tilings.
Throughout, the book includes open problems and possible projects
for students. Readers will come away with the background necessary
to pursue further work in the subject.
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