Aperiodic Order: Volume 1, A Mathematical Invitation by Michael Baake,Uwe Grimm,Roger Penrose

By Michael Baake,Uwe Grimm,Roger Penrose

Quasicrystals are non-periodic solids that have been found in 1982 by way of Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying arithmetic, referred to as the speculation of aperiodic order, is the topic of this accomplished multi-volume sequence. this primary quantity presents a graduate-level advent to the numerous aspects of this fairly new region of arithmetic. unique awareness is given to tools from algebra, discrete geometry and harmonic research, whereas the main target is on themes influenced via physics and crystallography. particularly, the authors supply a scientific exposition of the mathematical conception of kinematic diffraction. a number of illustrations and worked-out examples aid the reader to bridge the distance among thought and alertness. The authors additionally aspect to extra complex subject matters to teach how the idea interacts with different parts of natural and utilized mathematics.

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