Aperiodic order
 Author/Creator
 Baake, Michael, author.
 Language
 English.
 Publication
 Cambridge : Cambridge University Press, 2013
 Physical description
 volumes : illustrations (some colour) ; 24 cm.
 Series
 Encyclopedia of mathematics and its applications ; v. 149.
Access
Available online

Stacks
 Library has: v.1

Unknown
QA640.72 .B33 2013 V.1
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Contributors
 Contributor
 Grimm, Uwe, author.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 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.
 (source: Nielsen Book Data)
 Publisher's Summary
 Quasicrystals are nonperiodic 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 multivolume series. This first volume provides a graduatelevel 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 workedout 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Beginning date
 2013
 Responsibility
 Michael Baake, Uwe Grimm.
 Series
 Encyclopedia of mathematics and its applications ; 149
 ISBN
 9780521869911
 0521869919