Topological crystallography with a view towards discrete geometric analysis Toshikazu Sunada

Format:

Book

Author/Creator:

Sunada, T. (Toshikazu), 1948-

Series:

Surveys and tutorials in the applied mathematical sciences v. 6

Language:

English

Subjects (All):

Crystallography, Mathematical.

Topology.

Physical Description:

1 online resource

Place of Publication:

Tokyo London Springer ©2013

Language Note:

English

System Details:

text file

PDF

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. Only in the nineteenth century did mathematics begin to play a role in crystallography as group theory came to be applied to the morphology of crystals

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

Notes:

Includes bibliographical references and index

Print version record

Other Format:

Print version Sunada, T. (Toshikazu), 1948- Topological crystallography

ISBN:

9784431541776

4431541772

9781283946391

1283946394

OCLC:

823640937

Access Restriction:

Restricted for use by site license