Aperiodic Order - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Aperiodic Order write by Michael Baake. This book was released on 2013-08-22. Aperiodic Order available in PDF, EPUB and Kindle. A comprehensive introductory monograph on the theory of aperiodic order, with numerous illustrations and examples.
Mathematics of Aperiodic Order
Mathematics of Aperiodic Order - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics of Aperiodic Order write by Johannes Kellendonk. This book was released on 2015-06-05. Mathematics of Aperiodic Order available in PDF, EPUB and Kindle. What is order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically? Originally triggered by the – later Nobel prize-winning – discovery of quasicrystals, the investigation of aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties to a surprising variety of branches of mathematics and physics. This book offers an overview of the state of the art in the field of aperiodic order, presented in carefully selected authoritative surveys. It is intended for non-experts with a general background in mathematics, theoretical physics or computer science, and offers a highly accessible source of first-hand information for all those interested in this rich and exciting field. Topics covered include the mathematical theory of diffraction, the dynamical systems of tilings or Delone sets, their cohomology and non-commutative geometry, the Pisot substitution conjecture, aperiodic Schrödinger operators, and connections to arithmetic number theory.
Aperiodic Order: Volume 1, A Mathematical Invitation
Aperiodic Order: Volume 1, A Mathematical Invitation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Aperiodic Order: Volume 1, A Mathematical Invitation write by Michael Baake. This book was released on 2013-08-22. Aperiodic Order: Volume 1, A Mathematical Invitation available in PDF, EPUB and Kindle. 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.
Aperiodic Order: Volume 2, Crystallography and Almost Periodicity
Aperiodic Order: Volume 2, Crystallography and Almost Periodicity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Aperiodic Order: Volume 2, Crystallography and Almost Periodicity write by Michael Baake. This book was released on 2017-11-02. Aperiodic Order: Volume 2, Crystallography and Almost Periodicity available in PDF, EPUB and Kindle. Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The mathematics that underlies this discovery or that proceeded from it, known as the theory of Aperiodic Order, is the subject of this comprehensive multi-volume series. This second volume begins to develop the theory in more depth. A collection of leading experts, among them Robert V. Moody, cover various aspects of crystallography, generalising appropriately from the classical case to the setting of aperiodically ordered structures. A strong focus is placed upon almost periodicity, a central concept of crystallography that captures the coherent repetition of local motifs or patterns, and its close links to Fourier analysis. The book opens with a foreword by Jeffrey C. Lagarias on the wider mathematical perspective and closes with an epilogue on the emergence of quasicrystals, written by Peter Kramer, one of the founders of the field.
Aperiodic Order: Volume 2, Crystallography and Almost Periodicity
Aperiodic Order: Volume 2, Crystallography and Almost Periodicity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Aperiodic Order: Volume 2, Crystallography and Almost Periodicity write by Michael Baake. This book was released on 2017-11-02. Aperiodic Order: Volume 2, Crystallography and Almost Periodicity available in PDF, EPUB and Kindle. Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The mathematics that underlies this discovery or that proceeded from it, known as the theory of Aperiodic Order, is the subject of this comprehensive multi-volume series. This second volume begins to develop the theory in more depth. A collection of leading experts, among them Robert V. Moody, cover various aspects of crystallography, generalising appropriately from the classical case to the setting of aperiodically ordered structures. A strong focus is placed upon almost periodicity, a central concept of crystallography that captures the coherent repetition of local motifs or patterns, and its close links to Fourier analysis. The book opens with a foreword by Jeffrey C. Lagarias on the wider mathematical perspective and closes with an epilogue on the emergence of quasicrystals, written by Peter Kramer, one of the founders of the field.
