| Description |
1 online resource (xvi, 531 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Encyclopedia of mathematics and its applications ; 149
|
|
Encyclopedia of mathematics and its applications ; 149.
|
| Summary |
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. |
| Bibliography |
Includes bibliographical references (pages 489-516) and index. |
| Contents |
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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Aperiodicity.
|
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Aperiodicity. |
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Crystallography, Mathematical.
|
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Crystallography, Mathematical. |
| Genre/Form |
Electronic books.
|
| Added Author |
Grimm, Uwe, author.
|
| Added Title |
Mathematical invitation |
| Other Form: |
Print version: Baake, Michael. Aperiodic order. Volume 1, A mathematical invitation 9780521869911 (OCoLC)854617129 |
| ISBN |
9781139025256 (electronic book) |
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1139025252 (electronic book) |
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9781316184738 (electronic book) |
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1316184730 (electronic book) |
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9781316183779 (e-book) |
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1316183777 (e-book) |
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9780521869911 (hardback) |
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0521869919 (hardback) |
|
