This second volume begins to develop the theory in more depth. A
collection of leading experts in the field, among them Robert V. Moody,
introduce and review important aspects of this rapidlyexpanding field.
The volume covers 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, which is one of the main tools available to characterise
such structures. The book opens with a foreword by Jeffrey C. Lagarias
on the wider mathematical perspective and closes with an epilogue on
the emergence of quasicrystals from the point of view of physical
sciences, written Peter Kramer, one of the founders of the field on
the side of theoretical and mathematical physics.
