Quasicrystals and Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quasicrystals and Geometry write by Marjorie Senechal. This book was released on 1996-09-26. Quasicrystals and Geometry available in PDF, EPUB and Kindle. This first-ever detailed account of quasicrystal geometry will be of great value to mathematicians at all levels with an interest in quasicrystals and geometry, and will also be of interest to graduate students and researchers in solid state physics, crystallography and materials science.
Aperiodic Order: Volume 1, A Mathematical Invitation
Aperiodic Order: Volume 1, A Mathematical Invitation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Aperiodic Order: Volume 1, A Mathematical Invitation write by Michael Baake. This book was released on 2013-08-22. Aperiodic Order: Volume 1, A Mathematical Invitation available in PDF, EPUB and Kindle. 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.
Quasicrystals and Discrete Geometry
Quasicrystals and Discrete Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quasicrystals and Discrete Geometry write by Jiri Patera. This book was released on 1998-01-01. Quasicrystals and Discrete Geometry available in PDF, EPUB and Kindle. Comprising the proceedings of the fall 1995 semester program arranged by The Fields Institute at the U. of Toronto, Ontario, Canada, this volume contains eleven contributions which address ordered aperiodic systems realized either as point sets with the Delone property or as tilings of a Euclidean space. This collection of articles aims to bring into the mainstream of mathematics and mathematical physics this developing field of study integrating algebra, geometry, Fourier analysis, number theory, crystallography, and theoretical physics. Annotation copyrighted by Book News, Inc., Portland, OR
New Geometries for New Materials
New Geometries for New Materials - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Geometries for New Materials write by Eric A. Lord. This book was released on 2006-09-21. New Geometries for New Materials available in PDF, EPUB and Kindle. This 2006 book presents the geometrical ideas of structure at the atomic level that are being developed and integrated into materials science. Emphasis is placed on the intuitive understanding of geometrical principles through illustrations not detailed computation. This book will appeal to those working in crystallography, solid-state science and materials science.
Directions in Mathematical Quasicrystals
Directions in Mathematical Quasicrystals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Directions in Mathematical Quasicrystals write by Michael Baake. This book was released on 2000. Directions in Mathematical Quasicrystals available in PDF, EPUB and Kindle. This volume includes twelve solicited articles which survey the current state of knowledge and some of the open questions on the mathematics of aperiodic order. A number of the articles deal with the sophisticated mathematical ideas that are being developed from physical motivations. Many prominent mathematical aspects of the subject are presented, including the geometry of aperiodic point sets and their diffractive properties, self-affine tilings, the role of $C*$-algebras in tiling theory, and the interconnections between symmetry and aperiodic point sets. Also discussed are the question of pure point diffraction of general model sets, the arithmetic of shelling icosahedral quasicrystals, and the study of self-similar measures on model sets. From the physical perspective, articles reflect approaches to the mathematics of quasicrystal growth and the Wulff shape, recent results on the spectral nature of aperiodic Schrödinger operators with implications to transport theory, the characterization of spectra through gap-labelling, and the mathematics of planar dimer models. A selective bibliography with comments is also provided to assist the reader in getting an overview of the field. The book will serve as a comprehensive guide and an inspiration to those interested in learning more about this intriguing subject.
