Michael Baake: Aperiodic Order | Buch

Cover: 9780521869911 | Aperiodic Order | Michael Baake (u. a.) | Buch | Gebunden | Englisch

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Michael Bakke is a Professor of Mathematics at Bielefeld University, Germany. He has been working on the theory of quasicrystals since 1987 and during that time organised several international meetings on the mathematics of aperiodic order, including workshops at Banff, Oberwolfach and the Erwin Schrödinger Institute in Vienna.

Inhaltsverzeichnis

Foreword Roger Penrose; Preface; 1. Introduction; 2. Preliminaries; 3. Lattices and crystals; 4. Symbolic substitutions and inflations; 5. Patterns and tilings; 6. Inflation tilings; 7. Projection method and model sets; 8. Fourier analysis and measures; 9. Diffraction; 10. Beyond model sets; 11. Random structures; A. The icosahedral group; Appendix B. The dynamical spectrum; References; Index.

Details

Erscheinungsjahr:	2018
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
ISBN-13:	9780521869911
ISBN-10:	0521869919
Sprache:	Englisch
Einband:	Gebunden
Autor:	Baake, Michael Grimm, Uwe
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	235 x 157 x 34 mm
Von/Mit:	Michael Baake (u. a.)
Erscheinungsdatum:	30.11.2018
Gewicht:	0,941 kg