Miles of tiles
著者
書誌事項
Miles of tiles
（Student mathematical library, v. 1）
American Mathematical Society, c1999
- : pbk
大学図書館所蔵 件 / 全40件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 113-115) and index
内容説明・目次
内容説明
'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.
目次
Introduction Ergodic theory Physics (for mathematicians) Order Symmetry Conclusion Appendix I: Geometry Appendix II: Algebra Appendix III: Analysis References List of symbols Subject Index.
「Nielsen BookData」 より
