The Mathematics of Long-Range Aperiodic Order (Paperback, Softcover reprint of hardcover 1st ed. 1997)

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."

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	NATO Science Series C, 489
Release date:	December 2010
First published:	1997
Editors:	R.V. Moody
Dimensions:	240 x 160 x 29mm (L x W x T)
Format:	Paperback
Pages:	556
Edition:	Softcover reprint of hardcover 1st ed. 1997
ISBN-13:	978-90-481-4832-5
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Geometry > General Books > Science & Mathematics > Physics > States of matter > Condensed matter physics (liquids & solids) Promotions
LSN:	90-481-4832-4
Barcode:	9789048148325

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