Download or read book Rigidity and Symmetry written by Robert Connelly and published by Springer. This book was released on 2014-06-11 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Frameworks Tensegrities and Symmetry written by Robert Connelly and published by Cambridge University Press. This book was released on 2022-01-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why don't things fall down? Engineering meets mathematics in this introduction to the geometry of rigid and flexible structures.
Download or read book Strong Rigidity of Locally Symmetric Spaces AM 78 Volume 78 written by G. Daniel Mostow and published by Princeton University Press. This book was released on 2016-03-02 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, Calabi-Vesentini, Weil, Borel, and Raghunathan. The proof combines the theory of semi-simple Lie groups, discrete subgroups, the geometry of E. Cartan's symmetric Riemannian spaces, elements of ergodic theory, and the fundamental theorem of projective geometry as applied to Tit's geometries. In his proof the author introduces two new notions having independent interest: one is "pseudo-isometries"; the other is a notion of a quasi-conformal mapping over the division algebra K (K equals real, complex, quaternion, or Cayley numbers). The author attempts to make the account accessible to readers with diverse backgrounds, and the book contains capsule descriptions of the various theories that enter the proof.
Download or read book Handbook of Geometric Constraint Systems Principles written by Meera Sitharam and published by CRC Press. This book was released on 2018-07-20 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Frameworks Tensegrities and Symmetry written by Robert Connelly and published by Cambridge University Press. This book was released on 2022-01-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Symmetry as a Developmental Principle in Nature and Art written by Werner Hahn and published by World Scientific. This book was released on 1998 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking beyond the boundaries of various disciplines, the author demonstrates that symmetry is a fascinating phenomenon which provides endless stimulation and challenges. He explains that it is possible to readapt art to the sciences, and vice versa, by means of an evolutionary concept of symmetry. Many pictorial examples are included to enable the reader to fully understand the issues discussed. Based on the artistic evidence that the author has collected, he proposes that the new ars evolutoria can function as an example for the sciences.The book is divided into three distinct parts, each one focusing on a special issue. In Part I, the phenomenon of symmetry, including its discovery and meaning is reviewed. The author looks closely at how Vitruvius, Polyclitus, Democritus, Plato, Aristotle, Plotinus, Augustine, Alberti, Leonardo da Vinci and Durer viewed symmetry. This is followed by an explanation on how the concept of symmetry developed. The author further discusses symmetry as it appears in art and science, as well as in the modern age. Later, he expounds the view of symmetry as an evolutionary concept which can lead to a new unity of science. In Part II, he covers the points of contact between the form-developing process in nature and art. He deals with biological questions, in particular evolution.The collection of new and precise data on perception and knowledge with regard to the postulated reality of symmetry leads to further development of the evolutionary theory of symmetry in Part III. The author traces the enormous treasure of observations made in nature and culture back to a few underlying structural principles. He demonstrates symmetry as a far-reaching, leading, structuring, causal element of evolution, as the idea lying behind nature and culture. Numerous controllable reproducible double-mirror experiments on a new stereoscopic vision verify a symmetrization theory of perception.
Download or read book Computational Kinematics written by Federico Thomas and published by Springer Science & Business Media. This book was released on 2013-10-17 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational kinematics is an enthralling area of science with a rich spectrum of problems at the junction of mechanics, robotics, computer science, mathematics, and computer graphics. The covered topics include design and optimization of cable-driven robots, analysis of parallel manipulators, motion planning, numerical methods for mechanism calibration and optimization, geometric approaches to mechanism analysis and design, synthesis of mechanisms, kinematical issues in biomechanics, construction of novel mechanical devices, as well as detection and treatment of singularities. The results should be of interest for practicing and research engineers as well as Ph.D. students from the fields of mechanical and electrical engineering, computer science, and computer graphics.
Download or read book Emergence in Context written by Robert C. Bishop and published by Oxford University Press. This book was released on 2022 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Science, philosophy of science, and metaphysics have long been concerned with the question of how novel things emerge. How can order come out of disorder? This book introduces a new account, contextual emergence, seeking to answer such questions."--Back cover.
Download or read book Spin Glass Theory And Far Beyond Replica Symmetry Breaking After 40 Years written by Patrick Charbonneau and published by World Scientific. This book was released on 2023-07-26 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: About sixty years ago, the anomalous magnetic response of certain magnetic alloys drew the attention of theoretical physicists. It soon became clear that understanding these systems, now called spin glasses, would give rise to a new branch of statistical physics. As physical materials, spin glasses were found to be as useless as they were exotic. They have nevertheless been recognized as paradigmatic examples of complex systems with applications to problems as diverse as neural networks, amorphous solids, biological molecules, social and economic interactions, information theory and constraint satisfaction problems.This book presents an encyclopaedic overview of the broad range of these applications. More than 30 contributions are compiled, written by many of the leading researchers who have contributed to these developments over the last few decades. Some timely and cutting-edge applications are also discussed. This collection serves well as an introduction and summary of disordered and glassy systems for advanced undergraduates, graduate students and practitioners interested in the topic.
Download or read book Perspectives on Statistical Thermodynamics written by Yoshitsugu Oono and published by Cambridge University Press. This book was released on 2017-12-14 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: This original text develops a deep, conceptual understanding of thermal physics and highlights the important links between statistical physics and classical thermodynamics. It examines how thermal physics fits within physics as a whole, and is perfect for undergraduate and graduate students, and researchers interested in a fresh approach to the subject.
Download or read book Job Security and Flexibility written by Emil Dinga and published by Springer Nature. This book was released on 2023-06-20 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the relationship between job security and job flexibility. Through an innovative conceptual approach, the concept of job flexicurity is presented to highlight the labour market dynamics between job flexibility and employee security. The dynamics of labour market mechanisms are placed within ideas of rigidity, security, flexibility, and plasticity to explore the interplay between different employee considerations. Particular attention is given to the Romanian labour market with an empirical case study that expands upon the ideas discussed. This book aims to analyse how job security and flexibility impact worker well-being and happiness. It will be relevant to students and researchers interested in labour economics and the job market.
Download or read book Perceiving Acting and Knowing written by Robert Shaw and published by Routledge. This book was released on 2017-03-27 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geometry Rigidity and Group Actions written by Robert J Zimmer and published by University of Chicago Press. This book was released on 2011-04-15 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of group actions is more than a hundred years old but remains to this day a vibrant and widely studied topic in a variety of mathematic fields. A central development in the last fifty years is the phenomenon of rigidity, whereby one can classify actions of certain groups, such as lattices in semi-simple Lie groups. This provides a way to classify all possible symmetries of important spaces and all spaces admitting given symmetries. Paradigmatic results can be found in the seminal work of George Mostow, Gergory Margulis, and Robert J. Zimmer, among others. The papers in Geometry, Rigidity, and Group Actions explore the role of group actions and rigidity in several areas of mathematics, including ergodic theory, dynamics, geometry, topology, and the algebraic properties of representation varieties. In some cases, the dynamics of the possible group actions are the principal focus of inquiry. In other cases, the dynamics of group actions are a tool for proving theorems about algebra, geometry, or topology. This volume contains surveys of some of the main directions in the field, as well as research articles on topics of current interest.
Download or read book Magnetism in Condensed Matter written by Stephen Blundell and published by OUP Oxford. This book was released on 2001-10-04 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Handbook of Discrete and Computational Geometry written by Csaba D. Toth and published by CRC Press. This book was released on 2017-11-22 with total page 1928 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Introduction to Many Body Physics written by Piers Coleman and published by Cambridge University Press. This book was released on 2015-11-26 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern, graduate-level introduction to many-body physics in condensed matter, this textbook explains the tools and concepts needed for a research-level understanding of the correlated behavior of quantum fluids. Starting with an operator-based introduction to the quantum field theory of many-body physics, this textbook presents the Feynman diagram approach, Green's functions and finite-temperature many-body physics before developing the path integral approach to interacting systems. Special chapters are devoted to the concepts of Fermi liquid theory, broken symmetry, conduction in disordered systems, superconductivity and the physics of local-moment metals. A strong emphasis on concepts and numerous exercises make this an invaluable course book for graduate students in condensed matter physics. It will also interest students in nuclear, atomic and particle physics.
Download or read book A Career in Theoretical Physics written by P W Anderson and published by World Scientific. This book was released on 1994-06-24 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical physicist and Nobel Laureate Philip Anderson has been described as one of the most imaginative of condensed matter physicists working today. His achievements have not merely constituted significant discoveries in their own right, but have also frequently set the agenda for the work of others. His pioneering contributions include the Anderson model of magnetic impurities and the concept of localisation, both of which were mentioned in his Nobel Prize citation. He also worked on the study of spin glasses, the fluctuating valence problem and superexchange. He predicted the existence of superfluidity in He-3 and provided a microscopic explanation, and was involved in the discovery of the Josephson effect. The understanding of topics as diverse as the Higgs mechanism, pulsar glitches, high Tc superconductivity, flux creep and flow in superconducting magnets and the solution of the Kondo problem has benefited from his contributions. This volume contains a discriminating selection of the many topics on which Philip Anderson has worked. Some of the papers included are now hard to find elsewhere, and each has been embellished with commentary on how they came to be written. Anderson has also provided an entertaining introduction setting out his philosophy of what is important in science. Contents:Ferroelectricity, Soft ModesSuperconductivity: BCSLine Broadening, Correlation FunctionBroken SymmetryMagnetic State, Mott InsulatorsSuperfluidity: He3 + He4Local Moments and Kondo EffectLocalizationGeneralElectronic StructureSpin Glass and Non-Ergodic SystemsMixed ValenceHigh-Tc and the New Physics Readership: Physicists, chemists and materials scientists. keywords:Complexity;Emergence;Spectral Line Breadths;Superconductivity;Kondo Effect;Spin Glass;Macroscopic Coherence;Disorder;Localization;Mott Insulator;Hubbard Model;Heavy Electrons;Magnetic State;Resonating Valence Bonds
