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Quasicrystals And Discrete Geometry
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Book Synopsis Quasicrystals and Discrete Geometry by : Jiri Patera
Download or read book Quasicrystals and Discrete Geometry written by Jiri Patera and published by American Mathematical Soc.. This book was released on 1998 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Quasicrystals and Discrete Geometry by : Jiri Patera
Download or read book Quasicrystals and Discrete Geometry written by Jiri Patera and published by American Mathematical Soc.. This book was released on 1998-01-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Quasicrystals and Geometry by : Marjorie Senechal
Download or read book Quasicrystals and Geometry written by Marjorie Senechal and published by CUP Archive. This book was released on 1996-09-26 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Discrete Geometry by : Andras Bezdek
Download or read book Discrete Geometry written by Andras Bezdek and published by CRC Press. This book was released on 2003-02-04 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the work of Professor W. Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity, featuring an extensive collection of problems compiled at the Discrete Geometry Special Session of the American Mathematical Society in New Orleans, Louisiana. Discrete Geometry analy
Book Synopsis Polytopes and Discrete Geometry by : Gabriel Cunningham
Download or read book Polytopes and Discrete Geometry written by Gabriel Cunningham and published by American Mathematical Soc.. This book was released on 2021-04-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers showcase the breadth of discrete geometry through many new methods and results in a variety of topics. Also included are survey articles on some important areas of active research. This volume is aimed at researchers in discrete and convex geometry and researchers who work with abstract polytopes or string C C-groups. It is also aimed at early career mathematicians, including graduate students and postdoctoral fellows, to give them a glimpse of the variety and beauty of these research areas. Topics covered in this volume include: the combinatorics, geometry, and symmetries of convex polytopes; tilings; discrete point sets; the combinatorics of Eulerian posets and interval posets; symmetries of surfaces and maps on surfaces; self-dual polytopes; string C C-groups; hypertopes; and graph coloring.
Book Synopsis Geometry and Thermodynamics by : J.C. Tolédano
Download or read book Geometry and Thermodynamics written by J.C. Tolédano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distinct scientific communities are usually involved in the three fields of quasi-crystals, of liquid crystals, and of systems having modulated crystalline structures. However, in recent years, there has been a growing feeling that a number of common problems were encountered in the three fields. These comprise the need to recur to "exotic" spaces for describing the type of order of the atomic or molecular configurations of these systems (Euclidian "superspaces" of dimensions greater than 3, or 4-dimensional curved spaces); the recognition that one has to deal with geometrically frustrated systems, and also the occurence of specific excitations (static or dynamic) resulting from the continuous degeneracies of the stable structures considered. In the view of discussing these problems, aNA TO-Advance Research Workshop has assembled in Preveza (Greece), in september 1989,50 experts of the three considered fields (with an equal proportion of theorists and experimentalists). 35 hours of conferences and discussions have led to a more detailed evaluation of the similarities and of the differences in the approaches implemented in the studies of the three types of systems. The papers contained in this NATO-series book provide the substance of this workshop. The reader will find three types of papers. Some very short papers giving the main ideas stated on a subject. Papers comprising 8-10 pages which stick closely to the contents of the talks presented. Longer papers providing more extensively the background and results relative to a given topic. It is worth summarizing the principal outputs of the workshop.
Book Synopsis Aperiodic Order: Volume 1, A Mathematical Invitation by : Michael Baake
Download or read book Aperiodic Order: Volume 1, A Mathematical Invitation written by Michael Baake and published by Cambridge University Press. This book was released on 2013-08-22 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Coverings of Discrete Quasiperiodic Sets by : Peter Kramer
Download or read book Coverings of Discrete Quasiperiodic Sets written by Peter Kramer and published by Springer. This book was released on 2003-07-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this up-to-date review and guide to most recent literature, the expert authors develop concepts related to quasiperiodic coverings and describe results. The text describes specific systems in 2 and 3 dimensions with many illustrations, and analyzes the atomic positions in quasicrystals.
Book Synopsis Discrete Geometry and Symmetry by : Marston D. E. Conder
Download or read book Discrete Geometry and Symmetry written by Marston D. E. Conder and published by Springer. This book was released on 2018-06-11 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of contributions from experts, presenting a fruitful interplay between different approaches to discrete geometry. Most of the chapters were collected at the conference “Geometry and Symmetry” in Veszprém, Hungary from 29 June to 3 July 2015. The conference was dedicated to Károly Bezdek and Egon Schulte on the occasion of their 60th birthdays, acknowledging their highly regarded contributions in these fields. While the classical problems of discrete geometry have a strong connection to geometric analysis, coding theory, symmetry groups, and number theory, their connection to combinatorics and optimization has become of particular importance. The last decades have seen a revival of interest in discrete geometric structures and their symmetry. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory and geometry, combinatorial group theory, and hyperbolic geometry and topology. This book contains papers on new developments in these areas, including convex and abstract polytopes and their recent generalizations, tiling and packing, zonotopes, isoperimetric inequalities, and on the geometric and combinatorial aspects of linear optimization. The book is a valuable resource for researchers, both junior and senior, in the field of discrete geometry, combinatorics, or discrete optimization. Graduate students find state-of-the-art surveys and an open problem collection.
Book Synopsis Discrete Geometry for Computer Imagery by : Christophe Reutenauer
Download or read book Discrete Geometry for Computer Imagery written by Christophe Reutenauer and published by Springer Science & Business Media. This book was released on 2009-09-11 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th IAPR International Conference on Discrete Geometry for Computer Imagery, DGCI 2009, held in Montréal, Canada, in September/October 2009. The 42 revised full papers were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on discrete shape, representation, recognition and analysis; discrete and combinatorial tools for image segmentation and analysis; discrete and combinatorial Topology; models for discrete geometry; geometric transforms; and discrete tomography.
Book Synopsis Discrete Geometry for Computer Imagery by : Srecko Brlek
Download or read book Discrete Geometry for Computer Imagery written by Srecko Brlek and published by Springer. This book was released on 2009-09-19 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th IAPR International Conference on Discrete Geometry for Computer Imagery, DGCI 2009, held in Montréal, Canada, in September/October 2009. The 42 revised full papers were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on discrete shape, representation, recognition and analysis; discrete and combinatorial tools for image segmentation and analysis; discrete and combinatorial Topology; models for discrete geometry; geometric transforms; and discrete tomography.
Book Synopsis From Quasicrystals to More Complex Systems by : F. Axel
Download or read book From Quasicrystals to More Complex Systems written by F. Axel and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of part of the written versions of the Physics Courses given at the Winter School "Order, Chance and Risk: Aperiodic Phenomena from Solid State to Finance" held at the Les Houches Center for Physics, between February 23 and March 6, 1998. The School gathered lecturers and participants from all over the world. On a thematic level, the content of the school can be viewed both as a continuation (aperiodic phenomena in solid state physics) and an extension (mathematical aspects of fmance and economy) of the previous "Beyond Quasicrystals", also held at Les Houches, March 7-18 1994 and published in the same ·series. One of its important goals was to promote in-depth concrete scientific exchanges between theoretical physicists, experimental physicists and mathematicians on the one hand, and on the other hand practitioners of the economico-fmancial sphere and specialists of financial mathematics. Therefore, besides the mathematical tools and concepts at work in theoretical descriptions, relevant experimental data were also presented together with methods allowing their interpretation. As a result of this choice, the School was stimulated by experimentalists and fmancial market operators who joined the theoretical physicists and mathematicians at the conference. The present volume deals with the theoretical and experimental studies on aperiodic solids with long range order, incommensurate phases, quasicrystals, glasses, and more complex systems (fractal, chaotic), while a second volume to appear in the same series is devoted to the finance and economy facet.
Author :Italy) Dgci 200 (2003 Naples Publisher :Springer Science & Business Media ISBN 13 :3540204997 Total Pages :568 pages Book Rating :4.5/5 (42 download)
Book Synopsis Discrete Geometry for Computer Imagery by : Italy) Dgci 200 (2003 Naples
Download or read book Discrete Geometry for Computer Imagery written by Italy) Dgci 200 (2003 Naples and published by Springer Science & Business Media. This book was released on 2003-11-04 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: technical committee. The outcome from this meeting will help the ongoing research and communication for researchers active within the ?eld during the 18 months between the conferences.
Book Synopsis Handbook of Discrete and Computational Geometry, Second Edition by : Csaba D. Toth
Download or read book Handbook of Discrete and Computational Geometry, Second Edition written by Csaba D. Toth and published by CRC Press. This book was released on 2004-04-13 with total page 1557 pages. Available in PDF, EPUB and Kindle. Book excerpt: While high-quality books and journals in this field continue to proliferate, none has yet come close to matching the Handbook of Discrete and Computational Geometry, which in its first edition, quickly became the definitive reference work in its field. But with the rapid growth of the discipline and the many advances made over the past seven years, it's time to bring this standard-setting reference up to date. Editors Jacob E. Goodman and Joseph O'Rourke reassembled their stellar panel of contributors, added manymore, and together thoroughly revised their work to make the most important results and methods, both classic and cutting-edge, accessible in one convenient volume. Now over more then 1500 pages, the Handbook of Discrete and Computational Geometry, Second Edition once again provides unparalleled, authoritative coverage of theory, methods, and applications. Highlights of the Second Edition: Thirteen new chapters: Five on applications and others on collision detection, nearest neighbors in high-dimensional spaces, curve and surface reconstruction, embeddings of finite metric spaces, polygonal linkages, the discrepancy method, and geometric graph theory Thorough revisions of all remaining chapters Extended coverage of computational geometry software, now comprising two chapters: one on the LEDA and CGAL libraries, the other on additional software Two indices: An Index of Defined Terms and an Index of Cited Authors Greatly expanded bibliographies
Book Synopsis Handbook of Discrete and Computational Geometry by : Csaba D. Toth
Download or read book Handbook of Discrete and Computational Geometry written by Csaba D. Toth and published by CRC Press. This book was released on 2017-11-22 with total page 1928 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.
Download or read book Quasicrystals written by J.-B. Suck and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to all aspects of the physics of quasicrystals. The chapters, each written by an expert in this field, cover quasiperiodic tilings and the modeling of the atomic structure of quasicrystals. The electronic density of states and the calculation of the electronic structure play a key role in this introduction, as does an extensive discussion of the atomic dynamics. The study of defects in quasicrystals by high resolution electron microscopy and the computer simulations of defects and fracture in decorated tilings are important subjects for the application of these aperiodic crystals.
Author : Publisher :IOS Press ISBN 13 : Total Pages :6097 pages Book Rating :4./5 ( download)
Download or read book written by and published by IOS Press. This book was released on with total page 6097 pages. Available in PDF, EPUB and Kindle. Book excerpt:
