Rigidity and Symmetry

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Release : 2014-06-11
Genre : Mathematics
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Book Rating : 816/5 ( reviews)

Rigidity and Symmetry - 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 Rigidity and Symmetry write by Robert Connelly. This book was released on 2014-06-11. Rigidity and Symmetry available 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.

Frameworks, Tensegrities, and Symmetry

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Release : 2022-01-27
Genre : Mathematics
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Book Rating : 108/5 ( reviews)

Frameworks, Tensegrities, and Symmetry - 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 Frameworks, Tensegrities, and Symmetry write by Robert Connelly. This book was released on 2022-01-27. Frameworks, Tensegrities, and Symmetry available 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.

Incidence and Symmetry in Design and Architecture

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Release : 1983-03-31
Genre : Mathematics
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Book Rating : 438/5 ( reviews)

Incidence and Symmetry in Design and Architecture - 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 Incidence and Symmetry in Design and Architecture write by Jenny A. Baglivo. This book was released on 1983-03-31. Incidence and Symmetry in Design and Architecture available 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.

Handbook of Geometric Constraint Systems Principles

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Release : 2018-07-20
Genre : Mathematics
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Book Rating : 431/5 ( reviews)

Handbook of Geometric Constraint Systems Principles - 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 Handbook of Geometric Constraint Systems Principles write by Meera Sitharam. This book was released on 2018-07-20. Handbook of Geometric Constraint Systems Principles available 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.

Statistical Mechanics: Entropy, Order Parameters, and Complexity

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Release : 2021-01-26
Genre : Mathematics
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Book Rating : 244/5 ( reviews)

Statistical Mechanics: Entropy, Order Parameters, and Complexity - 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 Statistical Mechanics: Entropy, Order Parameters, and Complexity write by James P. Sethna. This book was released on 2021-01-26. Statistical Mechanics: Entropy, Order Parameters, and Complexity available in PDF, EPUB and Kindle. A new and updated edition of the successful Statistical Mechanics: Entropy, Order Parameters and Complexity from 2006. Statistical mechanics is a core topic in modern physics. Innovative, fresh introduction to the broad range of topics of statistical mechanics today, by brilliant teacher and renowned researcher.