Download e-book for kindle: 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 came across 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 offers a graduate-level creation to the various points of this really new quarter of arithmetic. exact cognizance is given to tools from algebra, discrete geometry and harmonic research, whereas the main target is on issues prompted via physics and crystallography. specifically, the authors supply a scientific exposition of the mathematical concept of kinematic diffraction. various illustrations and worked-out examples support the reader to bridge the distance among thought and alertness. The authors additionally element to extra complicated subject matters to teach how the speculation interacts with different parts of natural and utilized mathematics.

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Aperiodic Order: Volume 1, A Mathematical Invitation (Encyclopedia of Mathematics and its Applications) by Michael Baake,Uwe Grimm,Roger Penrose

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