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Author: Robert Connelly
Publisher: Springer
ISBN: 1493907816
Category : Mathematics
Languages : en
Pages : 378
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Book Description
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: Robert Connelly
Publisher: Springer
ISBN: 1493907816
Category : Mathematics
Languages : en
Pages : 378
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Book Description
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: Robert Connelly (Mathematician)
Publisher:
ISBN: 9780511843297
Category : MATHEMATICS
Languages : en
Pages :
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Book Description
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: Meera Sitharam
Publisher: CRC Press
ISBN: 1498738923
Category : Mathematics
Languages : en
Pages : 605
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Book Description
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: Csaba D. Toth
Publisher: CRC Press
ISBN: 1351645919
Category : Computers
Languages : en
Pages : 2354
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Book Description
The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.
Author: Jenny A. Baglivo
Publisher: Cambridge University Press
ISBN: 9780521230438
Category : Mathematics
Languages : en
Pages : 319
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Book Description
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: Philip W. Anderson
Publisher: CRC Press
ISBN: 0429962665
Category : Science
Languages : en
Pages : 564
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Book Description
First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.
Author: Michael Springford
Publisher: Cambridge University Press
ISBN: 9780521561303
Category : Science
Languages : en
Pages : 352
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Book Description
A multi-author centenary volume celebrating the discovery of the electron.
Author: Stephen Blundell
Publisher: OUP Oxford
ISBN: 0198505922
Category : Science
Languages : en
Pages : 251
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Book Description
The superb book describes the modern theory of the magnetic properties of solids. Starting from fundamental principles, this copiously illustrated volume outlines the theory of magnetic behaviour, describes experimental techniques, and discusses current research topics. The book is intended for final year undergraduate students and graduate students in the physical sciences.
Author: Robert Shaw
Publisher: Routledge
ISBN: 1315467917
Category : Psychology
Languages : en
Pages : 515
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Book Description
Originally published in 1977, the chapters in this volume derive from a conference on Perceiving, Acting and Knowing held by the Center for Research in Human Learning at the University of Minnesota in 1973. The volume was intended to appeal, not just to the specialist or the novice, but to anyone sufficiently interested in psychology to have obtained a sense of its history at the time. Through these essays the authors express a collective attitude that a careful scrutiny of the fundamental tenets of contemporary psychology may be needed. In some essays specific faults in the foundations of an area are discussed, and suggestions are made for remedying them. In other essays the authors flirt with more radical solutions, namely, beginning from new foundations altogether. Although the authors do not present a monolithic viewpoint, a careful reading of all their essays under one cover reveals a glimpse of a new framework by which theory and research may be guided.
Author: Hugo Münsterberg
Publisher:
ISBN:
Category : Psychology
Languages : en
Pages : 694
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Book Description
