000 01585 a2200241 4500
999 _c52644
_d52644
008 200320b ||||| |||| 00| 0 eng d
020 _a9780521869911
082 _a548.7 MIC
100 _aBaake, Michael
245 _aAperiodic order, Vol. 1: mathematical invitation, Vol. 149
260 _bCambridge University Press,
_c2013.
_aCambridge:
300 _axvi; 535 p.
_bhb;
_c24 cm.
365 _aGBP
_b83.99
440 _aEncyclopedia of mathematics and its applications
520 _aQuasicrystals 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.
650 _aAperiodic tilings
650 _aQuasicrystals
650 _aMathematics
650 _aAperiodicity
650 _aCrystallography
700 _aGrimm, Uwe
942 _2ddc
_cTD