Mathematics aperiodic order (13 Ergebnisse)

hardcover. Zustand: Sehr gut. 440 Seiten; 9783034809023.2 Gewicht in Gramm: 2.

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Hardcover. Zustand: Sehr gut. Dordrecht, Kluwer 1997. gr.8°. Some figs. XV, 555 p. Hardbound. NATO ASI Series C: Mathematical and Physical Sciences, volume 489.- Name on title, otherwise in very good condition.

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Zustand: New. A comprehensive introductory monograph on the theory of aperiodic order, with numerous illustrations and examples. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 552 pages, 145 b/w illus. 18 colour illus. 10 tables. BIC Classification: PBW; PNT. Category: (U) Tertiary Education (US: College). Dimension: 235 x 172 x 32. Weight in Grams: 1084. . 2013. hardcover. . . . . Books ship from the US and Ireland. …

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - What is order that is not based on simple repetition, that is, periodicity How must atoms be arranged in a material so that it diffracts like a quasicrystal How can we describe aperiodically ordered systems mathematically Originally triggered by the - later Nobel prize-winning - discovery of quasicrystals, the investigation of aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties to a surprising variety of branches of mathematics and physics.This book offers an overview of the state of the art in the field of aperiodic order, presented in carefully selected authoritative surveys. It is intended for non-experts with a general background in mathematics, theoretical physics or computer science, and offers a highly accessible source of first-hand information for all those interested in this rich and exciting field. Topics covered include the mathematical theory of diffraction, the dynamical systems of tilings or Delone sets, their cohomology and non-commutative geometry, the Pisot substitution conjecture, aperiodic Schrödinger operators, and connections to arithmetic number theory.…

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Taschenbuch. Zustand: Neu. The Mathematics of Long-Range Aperiodic Order | R. V. Moody | Taschenbuch | xvi | Englisch | 2010 | Springer Netherland | EAN 9789048148325 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - THEOREM: Rotational symmetries of order greater than six, and also five-fold rotational symmetry, are impossible for a periodic pattern in the plane or in three-dimensional space. The discovery of quasicrystals shattered this fundamental 'law', not by showing it to be logically false but by showing that periodicity was not synonymous with long-range order, if by 'long-range order' we mean whatever order is necessary for a crystal to produce a diffraction pat tern with sharp bright spots. It suggested that we may not know what 'long-range order' means, nor what a 'crystal' is, nor how 'symmetry' should be defined. Since 1984, solid state science has been under going a veritable K uhnian revolution. -M. SENECHAL, Quasicrystals and Geometry Between total order and total disorder He the vast majority of physical structures and processes that we see around us in the natural world. On the whole our mathematics is well developed for describing the totally ordered or totally disordered worlds. But in reality the two are rarely separated and the mathematical tools required to investigate these in-between states in depth are in their infancy.…

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - THEOREM: Rotational symmetries of order greater than six, and also five-fold rotational symmetry, are impossible for a periodic pattern in the plane or in three-dimensional space. The discovery of quasicrystals shattered this fundamental 'law', not by showing it to be logically false but by showing that periodicity was not synonymous with long-range order, if by 'long-range order' we mean whatever order is necessary for a crystal to produce a diffraction pat tern with sharp bright spots. It suggested that we may not know what 'long-range order' means, nor what a 'crystal' is, nor how 'symmetry' should be defined. Since 1984, solid state science has been under going a veritable K uhnian revolution. -M. SENECHAL, Quasicrystals and Geometry Between total order and total disorder He the vast majority of physical structures and processes that we see around us in the natural world. On the whole our mathematics is well developed for describing the totally ordered or totally disordered worlds. But in reality the two are rarely separated and the mathematical tools required to investigate these in-between states in depth are in their infancy.…