MARC details
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04256nam a22004575i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20230718140355.0 |
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| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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221201t20212016fr fo d z eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9782759819522 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DE-B1597 |
| Language of cataloging |
eng |
| Transcribing agency |
DE-B1597 |
| Description conventions |
rda |
| 041 0# - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
eng |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Zhilinskii, Boris, |
| Relator term |
author. |
| Relator code |
aut |
| -- |
http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT |
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| Title |
Introduction to Louis Michel's lattice geometry through group action / |
| Statement of responsibility, etc. |
Boris Zhilinskii, Michel Leduc, Michel Le Bellac. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
Les Ulis : |
| Name of producer, publisher, distributor, manufacturer |
EDP Sciences, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2021] |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Date of production, publication, distribution, manufacture, or copyright notice |
©2016 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (262 p.) |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Current Natural Sciences |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Title |
Frontmatter -- |
| -- |
Contents -- |
| -- |
Preface -- |
| -- |
1 Introduction -- |
| -- |
2 Group action. Basic definitions and examples -- |
| -- |
3 Delone sets and periodic lattices -- |
| -- |
4 Lattice symmetry -- |
| -- |
5 Lattices and their Voronoï and Delone cells -- |
| -- |
6 Lattices and positive quadratic forms -- |
| -- |
7 Root systems and root lattices -- |
| -- |
8 Comparison of lattice classifications -- |
| -- |
9 Applications -- |
| -- |
A. Basic notions of group theory with illustrative examples -- |
| -- |
B. Graphs, posets, and topological invariants -- |
| -- |
C. Notations for point and crystallographic groups -- |
| -- |
D. Orbit spaces for plane crystallographic groups -- |
| -- |
E. Orbit spaces for 3D-irreducible Bravais groups -- |
| -- |
Bibliography -- |
| -- |
Index |
| 506 0# - RESTRICTIONS ON ACCESS NOTE |
|---|
| Terms governing access |
Open Access |
| Uniform Resource Identifier |
<a href="https://purl.org/coar/access_right/c_abf2">https://purl.org/coar/access_right/c_abf2</a> |
| Standardized terminology for access restriction |
unrestricted online access |
| Source of term |
star |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
Group action analysis developed and applied mainly by Louis Michel to the study of N-dimensional periodic lattices is the central subject of the book. Di erent basic mathematical tools currently used for the description of lattice geometry are introduced and illustrated through applications to crystal structures in two- and three-dimensional space, to abstract multi-dimensional lattices and to lattices associated with integrable dynamical systems. Starting from general Delone sets the authors turn to di erent symmetry and topological classi- cations including explicit construction of orbifolds for two- and three-dimensional point and space groups. Voronoï and Delone cells together with positive quadratic forms and lattice description by root systems are introduced to demonstrate alternative approaches to lattice geometry study. Zonotopes and zonohedral families of 2-, 3-, 4-, 5-dimensional lattices are explicitly visualized using graph theory approach. Along with crystallographic applications, qualitative features of lattices of quantum states appearing for quantum problems associated with classical Hamiltonian integrable dynamical systems are shortly discussed. The presentation of the material is presented through a number of concrete examples with an extensive use of graphical visualization. The book is aimed at graduated and post-graduate students and young researchers in theoretical physics, dynamical systems, applied mathematics, solid state physics, crystallography, molecular physics, theoretical chemistry, . |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE |
|---|
| Additional physical form available note |
Issued also in print. |
| 538 ## - SYSTEM DETAILS NOTE |
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| System details note |
Mode of access: Internet via World Wide Web. |
| 540 ## - TERMS GOVERNING USE AND REPRODUCTION NOTE |
|---|
| Terms governing use and reproduction |
This eBook is made available Open Access under a CC BY-NC-ND 4.0 license: |
| Uniform Resource Identifier |
<a href="https://creativecommons.org/licenses/by-nc-nd/4.0 ">https://creativecommons.org/licenses/by-nc-nd/4.0 </a> |
| -- |
<a href="https://www.degruyter.com/dg/page/open-access-policy">https://www.degruyter.com/dg/page/open-access-policy</a> |
| 546 ## - LANGUAGE NOTE |
|---|
| Language note |
In English. |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
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| Source of description note |
Description based on online resource; title from PDF title page (publisher's Web site, viewed 01. Dez 2022) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics. |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
General Physics. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
SCIENCE / Physics / General. |
| Source of heading or term |
bisacsh |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Le Bellac, Michel, |
| Relator term |
author. |
| Relator code |
aut |
| -- |
http://id.loc.gov/vocabulary/relators/aut |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Leduc, Michel, |
| Relator term |
author. |
| Relator code |
aut |
| -- |
http://id.loc.gov/vocabulary/relators/aut |
| 776 0# - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Qualifying information |
print |
| International Standard Book Number |
9782759817382 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://doi.org/10.1051/978-2-7598-1952-2">https://doi.org/10.1051/978-2-7598-1952-2</a> |
| Public note |
Open Access |
| -- |
0 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://www.degruyter.com/isbn/9782759819522">https://www.degruyter.com/isbn/9782759819522</a> |
| Public note |
Open Access |
| -- |
0 |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Cover |
| Uniform Resource Identifier |
<a href="https://www.degruyter.com/document/cover/isbn/9782759819522/original">https://www.degruyter.com/document/cover/isbn/9782759819522/original</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
E-Book |
