Aperiodic Order

Volume 2, Crystallography and Almost Periodicity

By: Michael Baake (Editor), Uwe Grimm (Editor)

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Hardcover | 2 November 2017

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Hardcover
408 Pages

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23.39 x 15.6 x 2.39

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Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The mathematics that underlies this discovery or that proceeded from it, known as the theory of Aperiodic Order, is the subject of this comprehensive multi-volume series. This second volume begins to develop the theory in more depth. A collection of leading experts, among them Robert V. Moody, cover various aspects of crystallography, generalising appropriately from the classical case to the setting of aperiodically ordered structures. A strong focus is placed upon almost periodicity, a central concept of crystallography that captures the coherent repetition of local motifs or patterns, and its close links to Fourier analysis. The book ends with an epilogue on the emergence of quasicrystals from the perspective of physical sciences, written by Peter Kramer, one of the founders of the field on the side of theoretical and mathematical physics.

Industry Reviews

'This is still an open and fascinating field that continues to develop, and is presented in a coherent manner in the book series edited by M. Baake and U. Grimm ... Although most of the chapters contain an easy-to-read introduction that explains the goal and the problems to be solved, the book is clearly written for mathematicians interested by this growing field.' Marc de Boissieu, Acta Cryst

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