By Michael Baake,Uwe Grimm,Roger Penrose

ISBN-10: 0521869919

ISBN-13: 9780521869911

Quasicrystals are non-periodic solids that have been chanced on in 1982 via Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying arithmetic, referred to as the idea of aperiodic order, is the topic of this finished multi-volume sequence. this primary quantity offers a graduate-level advent to the numerous aspects of this fairly new sector of arithmetic. specific consciousness is given to equipment from algebra, discrete geometry and harmonic research, whereas the main target is on subject matters inspired via physics and crystallography. specifically, the authors offer a scientific exposition of the mathematical conception of kinematic diffraction. quite a few illustrations and worked-out examples aid the reader to bridge the space among conception and alertness. The authors additionally element to extra complex issues to teach how the idea 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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