Editors:
- Presents state-of-the-art on the fields of rigidity and symmetry
- Explores the interaction of geometry, algebra and combinatorics, presenting recent trends and advances in discrete geometry
- Extends classical geometry to studies of combinatorial structures
- Includes supplementary material: sn.pub/extras
Part of the book series: Fields Institute Communications (FIC, volume 70)
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Table of contents (18 chapters)
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Front Matter
About this book
This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the interaction of geometry, algebra and combinatorics. Contributions present recent trends and advances in discrete geometry, particularly in the theory of polytopes. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory, classical geometry, hyperbolic geometry and topology.
Overall, the book shows how researchers from diverse backgrounds explore connections among the various discrete structures with symmetry as the unifying theme. The volume will be a valuable source as an introduction to the ideas of both combinatorial and geometric rigidity theory and its applications, incorporating the surprising impact of symmetry. It will appeal to students at both the advanced undergraduate and graduate levels, as well as post docs, structural engineers and chemists.
Editors and Affiliations
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Department of Mathematics, Cornell University, Ithaca, USA
Robert Connelly
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Department of Mathematics and Statistics, York University, Toronto, Canada
Asia Ivić Weiss
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Department of Mathematics & Statistics, York University, Toronto, Canada
Walter Whiteley
Bibliographic Information
Book Title: Rigidity and Symmetry
Editors: Robert Connelly, Asia Ivić Weiss, Walter Whiteley
Series Title: Fields Institute Communications
DOI: https://doi.org/10.1007/978-1-4939-0781-6
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2014
Hardcover ISBN: 978-1-4939-0780-9Published: 12 June 2014
Softcover ISBN: 978-1-4939-4970-0Published: 23 August 2016
eBook ISBN: 978-1-4939-0781-6Published: 11 June 2014
Series ISSN: 1069-5265
Series E-ISSN: 2194-1564
Edition Number: 1
Number of Pages: VIII, 374
Number of Illustrations: 36 b/w illustrations, 28 illustrations in colour
Topics: Graph Theory, Combinatorics, Polytopes, Convex and Discrete Geometry, Topology