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  1. Japanese Journal of Mathematics
  2. Japanese Journal of Mathematics : Volume 7
  3. Japanese Journal of Mathematics : Volume 7, Issue 1, March 2012
  4. Lecture on topological crystallography
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Japanese Journal of Mathematics : Volume 12
Japanese Journal of Mathematics : Volume 11
Japanese Journal of Mathematics : Volume 10
Japanese Journal of Mathematics : Volume 9
Japanese Journal of Mathematics : Volume 8
Japanese Journal of Mathematics : Volume 7
Japanese Journal of Mathematics : Volume 7, Issue 2, November 2012
Japanese Journal of Mathematics : Volume 7, Issue 1, March 2012
Lecture on topological crystallography
Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs
Japanese Journal of Mathematics : Volume 6
Japanese Journal of Mathematics : Volume 5
Japanese Journal of Mathematics : Volume 4
Japanese Journal of Mathematics : Volume 3
Japanese Journal of Mathematics : Volume 2
Japanese Journal of Mathematics : Volume 1

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Lecture on topological crystallography

Content Provider Springer Nature Link
Author Sunada, Toshikazu
Copyright Year 2012
Abstract This is an expository article on modern crystallography based on discrete geometric analysis, a hybrid field of several traditional disciplines: graph theory, geometry, theory of discrete groups, and probability, which has been developed in the last decade. The mathematical part relying on algebraic topology is fairly elementary, but may be still worthwhile for crystallographers who want to learn how well-established mathematics is effectively used in the practical science. A brief history of crystallography is also explained.
Starting Page 1
Ending Page 39
Page Count 39
File Format PDF
ISSN 02892316
Journal Japanese Journal of Mathematics
Volume Number 7
Issue Number 1
e-ISSN 18613624
Language English
Publisher Springer Japan
Publisher Date 2012-03-26
Publisher Place Japan
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword topological crystal canonical placement discrete geometric analysis discrete Abel–Jacobi map Instructional exposition Infinite graphs Discrete potential theory and numerical methods Discrete version of topics in analysis Crystalline structure Mathematics History of Mathematical Sciences
Content Type Text
Resource Type Article
Subject Mathematics
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