Rigidity And Symmetry PDF Download
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Author | : Robert Connelly |
Publisher | : Springer |
Total Pages | : 378 |
Release | : 2014-06-11 |
Genre | : Mathematics |
ISBN | : 1493907816 |
Download Rigidity and Symmetry Book in PDF, ePub and Kindle
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.
Author | : Katharine Clinch |
Publisher | : |
Total Pages | : |
Release | : 2018 |
Genre | : |
ISBN | : |
Download Global Rigidity and Symmetry of Direction-length Frameworks Book in PDF, ePub and Kindle
Author | : Robert Connelly |
Publisher | : Cambridge University Press |
Total Pages | : 299 |
Release | : 2022-01-27 |
Genre | : Mathematics |
ISBN | : 0521879108 |
Download Frameworks, Tensegrities, and Symmetry Book in PDF, ePub and Kindle
Why don't things fall down? Engineering meets mathematics in this introduction to the geometry of rigid and flexible structures.
Author | : Robert Connelly |
Publisher | : Cambridge University Press |
Total Pages | : |
Release | : 2022-01-27 |
Genre | : Mathematics |
ISBN | : 1009234226 |
Download Frameworks, Tensegrities, and Symmetry Book in PDF, ePub and Kindle
This introduction to the theory of rigid structures explains how to analyze the performance of built and natural structures under loads, paying special attention to the role of geometry. The book unifies the engineering and mathematical literatures by exploring different notions of rigidity - local, global, and universal - and how they are interrelated. Important results are stated formally, but also clarified with a wide range of revealing examples. An important generalization is to tensegrities, where fixed distances are replaced with 'cables' not allowed to increase in length and 'struts' not allowed to decrease in length. A special feature is the analysis of symmetric tensegrities, where the symmetry of the structure is used to simplify matters and allows the theory of group representations to be applied. Written for researchers and graduate students in structural engineering and mathematics, this work is also of interest to computer scientists and physicists.
Author | : Bernard M. E. Moret |
Publisher | : |
Total Pages | : 28 |
Release | : 1985 |
Genre | : Completeness theorem |
ISBN | : |
Download Using Symmetry and Rigidity Book in PDF, ePub and Kindle
Author | : Meera Sitharam |
Publisher | : CRC Press |
Total Pages | : 787 |
Release | : 2018-07-20 |
Genre | : Mathematics |
ISBN | : 1351647431 |
Download Handbook of Geometric Constraint Systems Principles Book in PDF, ePub and Kindle
The Handbook of Geometric Constraint Systems Principles is an entry point to the currently used principal mathematical and computational tools and techniques of the geometric constraint system (GCS). It functions as a single source containing the core principles and results, accessible to both beginners and experts. The handbook provides a guide for students learning basic concepts, as well as experts looking to pinpoint specific results or approaches in the broad landscape. As such, the editors created this handbook to serve as a useful tool for navigating the varied concepts, approaches and results found in GCS research. Key Features: A comprehensive reference handbook authored by top researchers Includes fundamentals and techniques from multiple perspectives that span several research communities Provides recent results and a graded program of open problems and conjectures Can be used for senior undergraduate or graduate topics course introduction to the area Detailed list of figures and tables About the Editors: Meera Sitharam is currently an Associate Professor at the University of Florida’s Department of Computer & Information Science and Engineering. She received her Ph.D. at the University of Wisconsin, Madison. Audrey St. John is an Associate Professor of Computer Science at Mount Holyoke College, who received her Ph. D. from UMass Amherst. Jessica Sidman is a Professor of Mathematics on the John S. Kennedy Foundation at Mount Holyoke College. She received her Ph.D. from the University of Michigan.
Author | : |
Publisher | : |
Total Pages | : 274 |
Release | : 2017 |
Genre | : |
ISBN | : 9789039368503 |
Download On Integrable Systems & Rigidity for PDEs with Symmetry Book in PDF, ePub and Kindle
Author | : Jenny A. Baglivo |
Publisher | : Cambridge University Press |
Total Pages | : 319 |
Release | : 1983-03-31 |
Genre | : Mathematics |
ISBN | : 9780521230438 |
Download Incidence and Symmetry in Design and Architecture Book in PDF, ePub and Kindle
The initial purposes of this 1983 text were to develop mathematical topics relevant to the study of the incidence and symmetry structures of geometrical objects and to expand the reader's geometric intuition. The two fundamental mathematical topics employed in this endeavor are graph theory and the theory of transformation groups. Part I, Incidence, starts with two sections on the basics of graph theory and continues with a variety of specific applications of graph theory. Following this, the text becomes more theoretical; here graph theory is used to study surfaces other than the plane and the sphere. Part II, Symmetry, starts with a section on rigid motions or symmetries of the plane, which is followed by another on the classification of planar patterns. Additionally, an overview of symmetry in three-dimensional space is provided, along with a reconciliation of graph theory and group theory in a study of enumeration problems in geometry.
Author | : Tom Lancaster |
Publisher | : Oxford University Press |
Total Pages | : 505 |
Release | : 2014-04 |
Genre | : Science |
ISBN | : 0199699321 |
Download Quantum Field Theory for the Gifted Amateur Book in PDF, ePub and Kindle
Quantum field theory provides the theoretical backbone to most modern physics. This book is designed to bring quantum field theory to a wider audience of physicists. It is packed with worked examples, witty diagrams, and applications intended to introduce a new audience to this revolutionary theory.
Author | : American Mathematical Society. Short Course |
Publisher | : American Mathematical Soc. |
Total Pages | : 203 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 0821844660 |
Download Applications of Knot Theory Book in PDF, ePub and Kindle
Louis Kauffman discusses applications of knot theory to physics, Nadrian Seeman discusses how topology is used in DNA nanotechnology, and Jonathan Simon discusses the statistical and energetic properties of knots and their relation to molecular biology."--BOOK JACKET.