Aperiodic Order: Volume 1, A Mathematical Invitation

Nonfiction, Science & Nature, Mathematics, Topology, Science
Cover of the book Aperiodic Order: Volume 1, A Mathematical Invitation by Michael Baake, Uwe Grimm, Cambridge University Press
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Author: Michael Baake, Uwe Grimm ISBN: 9781316183670
Publisher: Cambridge University Press Publication: August 22, 2013
Imprint: Cambridge University Press Language: English
Author: Michael Baake, Uwe Grimm
ISBN: 9781316183670
Publisher: Cambridge University Press
Publication: August 22, 2013
Imprint: Cambridge University Press
Language: English

Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. In particular, the authors provide a systematic exposition of the mathematical theory of kinematic diffraction. Numerous illustrations and worked-out examples help the reader to bridge the gap between theory and application. The authors also point to more advanced topics to show how the theory interacts with other areas of pure and applied mathematics.

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Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. In particular, the authors provide a systematic exposition of the mathematical theory of kinematic diffraction. Numerous illustrations and worked-out examples help the reader to bridge the gap between theory and application. The authors also point to more advanced topics to show how the theory interacts with other areas of pure and applied mathematics.

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