Aperiodic order.: Volume 1, A mathematical invitation /
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level intro...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2013.
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications ;
149. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. In particular, the authors provide a systematic exposition of the mathematical theory of kinematic diffraction. Numerous illustrations and worked-out examples help the reader to bridge the gap between theory and application. The authors also point to more advanced topics to show how the theory interacts with other areas of pure and applied mathematics. |
| Beschreibung: | 1 online resource (xvi, 531 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 489-516) and index. |
| ISBN: | 9781139025256 1139025252 9781316184738 1316184730 9781316183779 1316183777 |
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| spelling | Baake, Michael, author. http://id.loc.gov/authorities/names/n95079567 Aperiodic order. Volume 1, A mathematical invitation / by Michael Baake, Universität, Germany ; Uwe Grimm, the Open University, Milton Keynes. Mathematical invitation Cambridge : Cambridge University Press, 2013. ©2013 1 online resource (xvi, 531 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Encyclopedia of mathematics and its applications ; 149 Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. In particular, the authors provide a systematic exposition of the mathematical theory of kinematic diffraction. Numerous illustrations and worked-out examples help the reader to bridge the gap between theory and application. The authors also point to more advanced topics to show how the theory interacts with other areas of pure and applied mathematics. Includes bibliographical references (pages 489-516) and index. Introduction -- Preliminaries -- Lattices and crystals -- Symbolic substitutions and inflations -- Patterns and tilings -- Inflation tilings -- Projection method and model sets -- Fourier analysis and measures -- Diffraction -- Beyond model sets -- Random structures. Print version record. Aperiodicity. http://id.loc.gov/authorities/subjects/sh97002620 Crystallography, Mathematical. http://id.loc.gov/authorities/subjects/sh85034501 Apériodicité. Cristallographie mathématique. SCIENCE Physics Crystallography. bisacsh Cristalografía embne Aperiodicity fast Crystallography, Mathematical fast Electronic books. Grimm, Uwe, author. http://id.loc.gov/authorities/names/no95035019 has work: A Mathematical invitation Aperiodic order Vol. 1 (Text) https://id.oclc.org/worldcat/entity/E39PCFwmmCcy73cVkbfvr7cdcP https://id.oclc.org/worldcat/ontology/hasWork Print version: Baake, Michael. Aperiodic order. Volume 1, A mathematical invitation 9780521869911 (OCoLC)854617129 Encyclopedia of mathematics and its applications ; 149. http://id.loc.gov/authorities/names/n42010632 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=852787 Volltext |
| spellingShingle | Baake, Michael Grimm, Uwe Aperiodic order. Encyclopedia of mathematics and its applications ; Introduction -- Preliminaries -- Lattices and crystals -- Symbolic substitutions and inflations -- Patterns and tilings -- Inflation tilings -- Projection method and model sets -- Fourier analysis and measures -- Diffraction -- Beyond model sets -- Random structures. Aperiodicity. http://id.loc.gov/authorities/subjects/sh97002620 Crystallography, Mathematical. http://id.loc.gov/authorities/subjects/sh85034501 Apériodicité. Cristallographie mathématique. SCIENCE Physics Crystallography. bisacsh Cristalografía embne Aperiodicity fast Crystallography, Mathematical fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh97002620 http://id.loc.gov/authorities/subjects/sh85034501 |
| title | Aperiodic order. |
| title_alt | Mathematical invitation |
| title_auth | Aperiodic order. |
| title_exact_search | Aperiodic order. |
| title_full | Aperiodic order. Volume 1, A mathematical invitation / by Michael Baake, Universität, Germany ; Uwe Grimm, the Open University, Milton Keynes. |
| title_fullStr | Aperiodic order. Volume 1, A mathematical invitation / by Michael Baake, Universität, Germany ; Uwe Grimm, the Open University, Milton Keynes. |
| title_full_unstemmed | Aperiodic order. Volume 1, A mathematical invitation / by Michael Baake, Universität, Germany ; Uwe Grimm, the Open University, Milton Keynes. |
| title_short | Aperiodic order. |
| title_sort | aperiodic order a mathematical invitation |
| topic | Aperiodicity. http://id.loc.gov/authorities/subjects/sh97002620 Crystallography, Mathematical. http://id.loc.gov/authorities/subjects/sh85034501 Apériodicité. Cristallographie mathématique. SCIENCE Physics Crystallography. bisacsh Cristalografía embne Aperiodicity fast Crystallography, Mathematical fast |
| topic_facet | Aperiodicity. Crystallography, Mathematical. Apériodicité. Cristallographie mathématique. SCIENCE Physics Crystallography. Cristalografía Aperiodicity Crystallography, Mathematical Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=852787 |
| work_keys_str_mv | AT baakemichael aperiodicordervolume1 AT grimmuwe aperiodicordervolume1 AT baakemichael mathematicalinvitation AT grimmuwe mathematicalinvitation |