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Topological crystallography : with a view towards discrete geometric analysis

Author: T Sunada
Publisher: Tokyo ; London : Springer, ©2013.
Series: Surveys and tutorials in the applied mathematical sciences, v. 6.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Geometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyhedra addressed in the final volume of Euclid's Elements. Since then, geometry has taken its own path and the study of crystals has not been a central theme in mathematics, with the exception of Kepler's work on snowflakes.  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Sunada, T. (Toshikazu), 1948-
Topological crystallography.
Tokyo ; London : Springer, 2012
(OCoLC)810950559
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: T Sunada
ISBN: 9784431541776 4431541772 9781283946391 1283946394
OCLC Number: 823640937
Description: 1 online resource.
Contents: Prerequisites for Modern Crystallography --
Quotient Objects --
Generalities on Graphs --
Homology Groups of Graphs --
Covering Graphs --
Geometry of Crystal Structures --
Topological Crystals --
Standard Realizations --
Explicit Construction --
Advanced Topics --
Random Walks on Topological Crystals --
Discrete Abel-Jacobi Maps.
Series Title: Surveys and tutorials in the applied mathematical sciences, v. 6.
Responsibility: Toshikazu Sunada.

Abstract:

This book is useful for both mathematicians and practical scientists, who know how ideas developed in pure mathematics are applied to a practical problem.  Read more...

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From the reviews:"The book's main interest lies in the unexpected, pure mathematical thrust. The author's `topological crystals' emerge as prototypes--as cases simpler than the usual simplest Read more...

 
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