Read and Download eBook Full
Author: Sherman K. Stein
Publisher: Mathematical Association of America (MAA)
Published: 2014-05-10
Total Pages: 222
ISBN-13: 9781614440246
DOWNLOAD EBOOKA concise investigation into the connections between tiling space problems and algebraic ideas, suitable for undergraduates.
Author: Sherman Stein
Publisher: Cambridge University Press
Published: 1994
Total Pages: 236
ISBN-13: 9780883850282
DOWNLOAD EBOOKA concise investigation into the connections between tiling space problems and algebraic ideas, suitable for undergraduates.
Author: Lorenzo Adlai Sadun
Publisher: American Mathematical Soc.
Published: 2008
Total Pages: 131
ISBN-13: 0821847279
DOWNLOAD EBOOK"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
Published: 2013-08-22
Total Pages: 548
ISBN-13: 1316184382
DOWNLOAD EBOOKQuasicrystals 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.
Published: 1999
Total Pages: 134
ISBN-13: 082181933X
DOWNLOAD EBOOK"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.
Published: 1993-12-31
Total Pages: 222
ISBN-13: 1470451115
DOWNLOAD EBOOKAlgebra 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
Published: 2006-06-03
Total Pages: 497
ISBN-13: 0387295550
DOWNLOAD EBOOK"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
Published: 2001
Total Pages: 0
ISBN-13: 9781559533850
DOWNLOAD EBOOKWritten 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
Published: 2016-07-31
Total Pages: 0
ISBN-13: 9781631777974
DOWNLOAD EBOOKAs Tessa Truman-Ling explores the outdoors, she sees patterns everywhere and in everything.
Author: Shigeki Akiyama
Publisher: Springer Nature
Published: 2020-12-05
Total Pages: 456
ISBN-13: 3030576663
DOWNLOAD EBOOKThis book presents a panorama of recent developments in the theory of tilings and related dynamical systems. It contains an expanded version of courses given in 2017 at the research school associated with the Jean-Morlet chair program. Tilings have been designed, used and studied for centuries in various contexts. This field grew significantly after the discovery of aperiodic self-similar tilings in the 60s, linked to the proof of the undecidability of the Domino problem, and was driven futher by Dan Shechtman's discovery of quasicrystals in 1984. Tiling problems establish a bridge between the mutually influential fields of geometry, dynamical systems, aperiodic order, computer science, number theory, algebra and logic. The main properties of tiling dynamical systems are covered, with expositions on recent results in self-similarity (and its generalizations, fusions rules and S-adic systems), algebraic developments connected to physics, games and undecidability questions, and the spectrum of substitution tilings.
