Read e-book online Aperiodic Order: Volume 1, A Mathematical Invitation PDF

By Michael Baake,Uwe Grimm,Roger Penrose

Quasicrystals are non-periodic solids that have been came across in 1982 via Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying arithmetic, referred to as the speculation of aperiodic order, is the topic of this complete multi-volume sequence. this primary quantity offers a graduate-level creation to the numerous elements of this particularly new sector of arithmetic. unique awareness is given to equipment from algebra, discrete geometry and harmonic research, whereas the main target is on subject matters inspired by way of 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 space among concept and alertness. The authors additionally aspect to extra complicated themes to teach how the speculation 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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