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Aperiodic Order, Volume 2: Crystallography and Almost Periodicity

Michael Baake and Uwe Grimm, editors
Publisher: 
Cambridge University Press
Publication Date: 
2018
Number of Pages: 
386
Format: 
Hardcover
Series: 
Encyclopedia of Mathematics and its Applications 166
Price: 
140.00
ISBN: 
9780521869928
Category: 
Anthology
[Reviewed by
Fernando Q. Gouvêa
, on
04/2/2018
]

See Natalie Frank’s review of the first volume. While the first volume was an introductory survey of the field, this volume is a collection of more articles going in more depth into this rapidly advancing field. The result is a book that the editors describe as “between a monograph and a review selection”. Future books in the series are expected to be structured similarly.


Fernando Q. Gouvêa is the editor of MAA Reviews.

Foreword Jeffrey C. Lagarias
Preface Michael Baake and Uwe Grimm
1. More inflation tilings Dirk Frettlöh
2. Discrete tomography of model sets: reconstruction and uniqueness Uwe Grimm, Peter Gritzmann and Christian Huck
3. Geometric enumeration problems for lattices and embedded Z-modules Michael Baake and Peter Zeiner
4. Almost periodic measures and their fourier transforms Robert V. Moody and Nicolae Strungaru
5. Almost periodic pure point measures Nicolae Strungaru
6. Averaging almost periodic functions along exponential sequences Michael Baake, Alan Haynes and Daniel Lenz
Epilogue. Gateways towards quasicrystals Peter Kramer
Index.