Paperback
Graph theory, homology theory, and the theory of covering maps are employed to introduce the notion of the topological crystal which retains, in the abstract, all the information on the connectivity of atoms in the crystal.

Topological Crystallography, 2013th Edition

With a View Towards Discrete Geometric Analysis

  • Paperback

    229 pages

  • Release Date

    22 December 2012

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…

Book Details

ISBN-13:9784431541769
ISBN-10:4431541764
Author:Toshikazu Sunada
Publisher:Springer Verlag, Japan
Imprint:Springer Verlag, Japan
Format:Paperback
Number of Pages:229
Edition:2013th
Release Date:22 December 2012
Weight:3.75kg
Dimensions:155mm x 235mm
Series:Surveys and Tutorials in the Applied Mathematical Sciences
A-Format
B-Format
C-Format
Topological Crystallography, 2013th Edition by Toshikazu Sunada - ISBN: 9784431541769
155 × 235 mm
A4
mm / in
What They're Saying

Critics Review

“This book is unique in its coverage, and is therefore a necessary addition to the library of any mathematician working on mathematical or geometric crystallography particularly with respect to crystal design and engineering.” (G. L. McColm, MAA Reviews, April 05, 2019)

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 cases­–of objects studied in deep theories such as algebraic number theory and algebraic geometry. The book is highly suitable for undergraduate capstone courses; all necessary algebraic topology is developed from scratch. Summing Up: Recommended. Upper-division undergraduates and above.” (D. V. Feldman, Choice, Vol. 51 (3), November, 2013)

About The Author

Toshikazu Sunada

  1. Name: Toshikazu (Given Name), Sunada (Family Name) 2. Date of Birth: 7th Sept. 1948 3. Private Address: Hirao 1-52-5, Inagi-shi, Japan 4. Employed by: Meiji University, Higashimita 1-1-1, Tama-ku, Kawasaki, Japan 5. Position held: Professor in Mathematics 6. Education: University -Tokyo Institute of Technology (BS 1972) Graduate School -University of Tokyo (MS 1974) Doctor of Science -University of Tokyo (1977) 7. Position held since graduation: 1974-1975 Research Associate, Nagoya University 1975-1977 Research Associate, University of Tokyo 1977-1979 Assistant Professor, Nagoya University 1979-1988 Associate Professor, Nagoya University 1988-1991 Professor, Nagoya University 1991-1993 Professor, University of Tokyo 1993-2003 Professor, Tohoku University 2003- Professor, Meiji University

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