'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 ...
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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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Add this copy of Miles of Tiles (Student Mathematical Library, Vol. 1) to cart. $17.19, good condition, Sold by ThriftBooks-Atlanta rated 5.0 out of 5 stars, ships from Austell, GA, UNITED STATES, published 1999 by Amer Mathematical Society.
Add this copy of Miles of Tiles (Student Mathematical Library) to cart. $23.42, good condition, Sold by Fireside Bookshop rated 4.0 out of 5 stars, ships from Stroud, GLOUCESTERSHIRE, UNITED KINGDOM, published 1999 by American Mathematical Society.
Add this copy of Miles of Tiles (Student Mathematical Library) to cart. $47.49, like new condition, Sold by Literary Cat Books rated 2.0 out of 5 stars, ships from Machynlleth, Powys, WALES, UNITED KINGDOM, published 1999 by American Mathematical Society.
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Fine. 082181933X. 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.
Add this copy of Miles of Tiles (Student Mathematical Library, Vol. 1) to cart. $58.63, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1999 by Amer Mathematical Society.
Add this copy of Miles of Tiles to cart. $58.90, like new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 1999 by American Mathematical Society.
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Fine. Trade paperback (US). Glued binding. 120 p. Student Mathematical Library, 1. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
