Tilings and Patterns (Paperback)

Branko Grunbaum

ISBN 10: 0486469816 / ISBN 13: 9780486469812

Published by Dover Publications Inc., New York, 2016

About this Item

Paperback. Created by the founder of modern functional analysis, this is the first text on the theory of linear operators, written in 1932 and translated into English in 1987. Author Stefan Banach's numerous mathematical achievements include his theory of topological vector spaces as well as his contributions to measure theory, integration, and orthogonal series. In this volume, he articulates the theory of linear operators in terms of its aesthetic value, in addition to expressing the scope of its arguments and exploring its many applications. The author focuses on results concerning linear operators defined principally in Banach spaces. He interprets general theorems in a variety of areas, including group theory, differential and integral equations, equations with infinitely many unknowns, functions of a real variable, summation methods, and orthogonal series. In addition to his use of algebraic tools, Banach employs the methods of general set theory. Extensive supplementary material on the theory of Banach spaces appears at the end of the text. Suitable for advanced undergraduate and graduate courses, this classic is recommended for all students of applied functional analysis. This definitive book on tiling includes 520 figures and over 100 tables. Accessible to anyone with a grasp of geometry, its illustrated examples feature related problems and references. 1987 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780486469812

Bibliographic Details

• Title: Tilings and Patterns (Paperback)
• Publisher: Dover Publications Inc., New York
• Publication Date: 2016
• Language: English
• ISBN 10: 0486469816
• ISBN 13: 9780486469812
• Binding: Paperback
• Edition: 2nd Edition
• Condition: new

About this title

Synopsis

This inspiring book is geared toward students, professional mathematicians, and readers interested in patterns and shapes ― artists, architects, and crystallographers, among others.

The definitive book on tiling and geometric patterns, this magnificently illustrated volume features 520 figures and more than 100 tables. Accessible to anyone with a grasp of geometry, it offers numerous graphic examples of two-dimensional spaces covered with interlocking figures and related problems and references.
Along with helpful examples from mathematics and geometry, it draws upon models from fields as diverse as crystallography, virology, art, philosophy, and quilting. The self-contained chapters need not be read in sequence, and each concludes with an excellent selection of notes and references. The first seven chapters can be used as a classroom text, and the final five contain fascinating browsing material, including detailed surveys of color patterns, groups of color symmetry, and tilings by polygons. The authors have also added a new Preface and Appendix to this second edition.
 

• Comprehensive Coverage: This second edition features 520 figures and over 100 tables, offering a broad exploration of tiling and geometric patterns.
• User-Friendly Approach: Accessible to anyone with basic geometry knowledge, it includes numerous graphic examples and related problems to simplify complex concepts.
• Versatile Application: Ideal for both classroom use and independent study, catering to students, professional mathematicians, artists, architects, and crystallographers.
• Interdisciplinary References: Incorporates examples and models from diverse fields such as crystallography, virology, art, philosophy, and quilting.
• Flexible Reading: With self-contained chapters that can be read independently and chapters concluding with detailed notes and references, it supports varied learning preferences.
• Enhanced Content: Includes a new Preface and Appendix, making this edition not just a textbook but a comprehensive resource for anyone interested in patterns and shapes.

Every known human society has used tilings and patterns in some form or another. Tilings and Patterns is accessible to anyone with a grasp of geometry; its illustrated examples feature related problems and references—1987 edition.
 

About the Author

Branko Grünbaum is Professor Emeritus at the University of Washington. G. C. Shephard is affiliated with the University of East Anglia, England.