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

By Michael Baake,Uwe Grimm,Roger Penrose

Quasicrystals are non-periodic solids that have been came across in 1982 by means 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 various features of this rather new sector of arithmetic. specified recognition is given to equipment from algebra, discrete geometry and harmonic research, whereas the main target is on issues encouraged via physics and crystallography. specifically, the authors supply a scientific exposition of the mathematical concept of kinematic diffraction. quite a few illustrations and worked-out examples support the reader to bridge the distance among idea and alertness. The authors additionally aspect to extra complex themes to teach how the idea interacts with different components 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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