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| Author | : Sherman K. Stein |
| Publisher | : Mathematical Association of America (MAA) |
| Total Pages | : 222 |
| Release | : 2014-05-10 |
| Genre | : MATHEMATICS |
| ISBN | : 9781614440246 |
A concise investigation into the connections between tiling space problems and algebraic ideas, suitable for undergraduates.
| Author | : Sherman Stein |
| Publisher | : Cambridge University Press |
| Total Pages | : 236 |
| Release | : 1994 |
| Genre | : Mathematics |
| ISBN | : 9780883850282 |
A concise investigation into the connections between tiling space problems and algebraic ideas, suitable for undergraduates.
| Author | : Lorenzo Adlai Sadun |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 131 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 0821847279 |
"This book is an introduction to the topology of tiling spaces, with a target audience of graduate students who wish to learn about the interface of topology with aperiodic order. It isn't a comprehensive and cross-referenced tome about everything having to do with tilings, which would be too big, too hard to read, and far too hard to write! Rather, it is a review of the explosion of recent work on tiling spaces as inverse limits, on the cohomology of tiling spaces, on substitution tilings and the role of rotations, and on tilings that do not have finite local complexity. Powerful computational techniques have been developed, as have new ways of thinking about tiling spaces." "The text contains a generous supply of examples and exercises."--BOOK JACKET.
| Author | : Michael Baake |
| Publisher | : Cambridge University Press |
| Total Pages | : 548 |
| Release | : 2013-08-22 |
| Genre | : Mathematics |
| ISBN | : 1316184382 |
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.
| Author | : Charles Radin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 134 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 082181933X |
"Miles of Tiles" is a mathematics lesson for middle school classes requiring students to calculate the number and cost of tiles needed to cover the floor of the classroom. This lesson includes Internet activities. "Miles of Tiles" is presented as a service of the Link-to-Learn Professional Development Project of Pennsylvania, a state-sponsored educational technology initiative.
| Author | : Sherman K. Stein |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 222 |
| Release | : 1993-12-31 |
| Genre | : Mathematics |
| ISBN | : 1470451115 |
Algebra and Tiling is accessible to undergraduate mathematics majors, as most of the tools necessary to read the book are found in standard upper division algebra courses, but teachers, researchers, and professional mathematicians will find the book equally appealing. Beginners will find the exercises and the appendices especially useful. The unsolved problems will challenge both beginners and experts. The book could serve as the basis of an undergraduate or graduate seminar or a source of applications to enrich an algebra or geometry course.
| Author | : András Prékopa |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 497 |
| Release | : 2006-06-03 |
| Genre | : Mathematics |
| ISBN | : 0387295550 |
"From nothing I have created a new different world," wrote János Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of non-Euclidean geometry, as we call it today. The results of Bolyai and the co-discoverer, the Russian Lobachevskii, changed the course of mathematics, opened the way for modern physical theories of the twentieth century, and had an impact on the history of human culture. The papers in this volume, which commemorates the 200th anniversary of the birth of János Bolyai, were written by leading scientists of non-Euclidean geometry, its history, and its applications. Some of the papers present new discoveries about the life and works of János Bolyai and the history of non-Euclidean geometry, others deal with geometrical axiomatics; polyhedra; fractals; hyperbolic, Riemannian and discrete geometry; tilings; visualization; and applications in physics.
| Author | : George W. Hart |
| Publisher | : Key Curriculum Press |
| Total Pages | : 0 |
| Release | : 2001 |
| Genre | : Euler's numbers |
| ISBN | : 9781559533850 |
Written by George W. Hart, a mathematician and artist, and Henri Picciotto, an innovative teacher, the activities are based on a deep understanding of polyhedra and practical classroom experience. Students discover relationships in something they have built themselves, they understand and remember the concepts.
| Author | : Emily Grosvenor |
| Publisher | : Mascot Books |
| Total Pages | : 0 |
| Release | : 2016-07-31 |
| Genre | : Pattern perception |
| ISBN | : 9781631777974 |
As Tessa Truman-Ling explores the outdoors, she sees patterns everywhere and in everything.
| Author | : Arthur T. Benjamin |
| Publisher | : American Mathematical Society |
| Total Pages | : 210 |
| Release | : 2022-09-21 |
| Genre | : Mathematics |
| ISBN | : 1470472597 |
Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians.
