Michael Baake

Aperiodic Order: Volume 1, A Mathematical Invitation (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 22. August 2013
• Englisch
• ISBN-13: 9781316183670
• Artikelnr.: 53005879

Autorenporträt

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.

Inhaltsangabe

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.