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040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a514.174 _bRAD-M
100			_aRadin, Charles
245			_aMiles of tiles
260			_aIndia : _bUniversities Press, _c2025.
300			_axii, 120 p. ; _c22 cm.
490			_aStudent mathematical library ; _vv. 1
504			_aIncludes bibliographical references (p. 113-115) and index.
520			_aThe common thread throughout this book is aperiodic tilings; the best-known example is the “kite and dart” tiling. This tiling has been widely discussed, particularly since 1984 when it was adopted to model quasicrystals. The presentation uses many different areas of mathematics and physics to analyze the new features of such tilings. Although many people are aware of the existence of aperiodic tilings, and maybe even their origin in a question in logic, not everyone is familiar with their subtleties and the underlying rich mathematical theory. For the interested reader, this book fills that gap. Understanding this new type of tiling requires an unusual variety of specialties, including ergodic theory, functional analysis, group theory and ring theory from mathematics, and statistical mechanics and wave diffraction from physics. This interdisciplinary approach also leads to new mathematics seemingly unrelated to the tilings. Included are many worked examples and a large number of figures. The book's multidisciplinary approach and extensive use of illustrations make it useful for a broad mathematical audience.
521			_aReadership: Advanced undergraduates, graduate students, and research mathematicians.
650			_aTiling (Mathematics)
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/stml-1-prev.pdf?_gl=1*1wjr9pw*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAyMTk3MDQkbzMkZzEkdDE3NTAyMjExNjUkajYwJGwwJGgw
856			_3Reviews _uhttps://www.goodreads.com/book/show/3865743-miles-of-tiles-student-mathematical-library-vol-1?ref=nav_sb_ss_1_14#CommunityReviews
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