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Miles of Tiles (Student Mathematical Library) - Softcover

 
9780821819333: Miles of Tiles (Student Mathematical Library)

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'In this book, we try to display the value (and joy!) of starting from a mathematically amorphous problem and combining ideas from diverse sources to produce new and significant mathematics - mathematics unforeseen from the motivating problem...' - from the Preface. The 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.

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American Mathematical Society
Published by Amer Mathematical Society, 1999
ISBN 10: 082181933X ISBN 13: 9780821819333
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Charles Radin
Published by American Mathematical Society, 1999
ISBN 10: 082181933X ISBN 13: 9780821819333
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American Mathem, American Mathem
Published by American Mathematical Society, 1999
ISBN 10: 082181933X ISBN 13: 9780821819333
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Condition: Very Good. Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. Seller Inventory # 15856551-6

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Radin, Charles
ISBN 10: 082181933X ISBN 13: 9780821819333
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Paperback. Condition: Fine. Fine copy, unused. Formula / equations throughout. Exploring, in detail, the mathematical principles behind the arrangement of shapes to cover surfaces without gaps or overlaps. Radin presents complex concepts in a clear and accessible manner, making it suitable for students and other enthusiasts of mathematics. The text covers topics like periodic and aperiodic tilings, providing historical context and real-world applications. Through engaging explanations and numerous illustrations, Miles of Tiles encourages readers to appreciate the beauty and complexity of mathematical tiling, making it a valuable addition to mathematical literature. ; 5.25 X 0.25 X 8.25 inches; xii, 120 pages. Seller Inventory # LCH47135

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Radin, Charles
ISBN 10: 082181933X ISBN 13: 9780821819333
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Softcover, 120 pages. Good used condition (nice copy but with previous owner's neat and perceptive pencilled annotations). ISBN 082181933X. Seller Inventory # 40865

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Radin, Charles
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Condition: New. Tries to display the value (and joy!) of starting from a mathematically amorphous problem and combining ideas from diverse sources to produce new and significant mathematics - mathematics unforeseen from the motivating problem. This book focuses on aperiodic tilings; the best-known example is the 'kite and dart' tiling. Series: Student Mathematical Library. Num Pages: 128 pages, illustrations, references, index. BIC Classification: PBCD; PDE; TBJ. Category: (P) Professional & Vocational. Dimension: 217 x 140 x 7. Weight in Grams: 172. . 1999. Paperback. . . . . Seller Inventory # V9780821819333

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ISBN 10: 082181933X ISBN 13: 9780821819333
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Paperback. Condition: Brand New. 120 pages. 8.25x5.25x0.25 inches. In Stock. Seller Inventory # __082181933X

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