The Theory Of 2 Structures
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| Author | : Andrzej Ehrenfeucht |
| Publisher | : World Scientific |
| Total Pages | : 316 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 9789810240424 |
The theory of 2-structures provides a convenient framework for decomposition and transformation of mathematical systems where one or several different binary relationships hold between the objects of the system. In particular, it forms a useful framework for decomposition and transformation of graphs. The decomposition methods presented in this book correspond closely to the top-down design methods studied in theoretical computer science. The transformation methods considered here have a natural interpretation in the dynamic evolution of certain kinds of communication networks. From the mathematical point of view, the clan decomposition method presented here, also known as modular decomposition or substitution decomposition, is closely related to the decomposition by quotients in algebra. The transformation method presented here is based on labelled 2-structures over groups, the theory of which generalizes the well-studied theory of switching classes of graphs. This book is both a text and a monograph. As a monograph, the results concerning the decomposition and transformation of 2-structures are presented in a unified way. In addition, detailed notes on references are provided at the end of each chapter. These notes allow the reader to trace the origin of many notions and results, and to browse through the literature in order to extend the material presented in the book. To facilitate its use as a textbook, there are numerous examples and exercises which provide an opportunity for the reader to check his or her understanding of the discussed material. Furthermore, the text begins with preliminaries on partial orders, semigroups, groups and graphs to the extent needed for the book.
| Author | : Karl-Eugen Kurrer |
| Publisher | : John Wiley & Sons |
| Total Pages | : 864 |
| Release | : 2012-01-09 |
| Genre | : Technology & Engineering |
| ISBN | : 3433601348 |
This book traces the evolution of theory of structures and strength of materials - the development of the geometrical thinking of the Renaissance to become the fundamental engineering science discipline rooted in classical mechanics. Starting with the strength experiments of Leonardo da Vinci and Galileo, the author examines the emergence of individual structural analysis methods and their formation into theory of structures in the 19th century. For the first time, a book of this kind outlines the development from classical theory of structures to the structural mechanics and computational mechanics of the 20th century. In doing so, the author has managed to bring alive the differences between the players with respect to their engineering and scientific profiles and personalities, and to create an understanding for the social context. Brief insights into common methods of analysis, backed up by historical details, help the reader gain an understanding of the history of structural mechanics from the standpoint of modern engineering practice. A total of 175 brief biographies of important personalities in civil and structural engineering as well as structural mechanics plus an extensive bibliography round off this work.
| Author | : Jacques Heyman |
| Publisher | : Cambridge University Press |
| Total Pages | : 124 |
| Release | : 1982-04 |
| Genre | : Science |
| ISBN | : 9780521245234 |
This book analyses problems in elasticity theory, highlighting elements of structural analysis in a simple and straightforward way.
| Author | : Tim Maudlin |
| Publisher | : |
| Total Pages | : 374 |
| Release | : 2014-02 |
| Genre | : Mathematics |
| ISBN | : 0198701306 |
Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.
| Author | : Peter Marti |
| Publisher | : John Wiley & Sons |
| Total Pages | : 0 |
| Release | : 2013-04-15 |
| Genre | : Technology & Engineering |
| ISBN | : 9783433029916 |
This book provides the reader with a consistent approach to theory of structures on the basis of applied mechanics. It covers framed structures as well as plates and shells using elastic and plastic theory, and emphasizes the historical background and the relationship to practical engineering activities. This is the first comprehensive treatment of the school of structures that has evolved at the Swiss Federal Institute of Technology in Zurich over the last 50 years. The many worked examples and exercises make this a textbook ideal for in-depth studies. Each chapter concludes with a summary that highlights the most important aspects in concise form. Specialist terms are defined in the appendix. There is an extensive index befitting such a work of reference. The structure of the content and highlighting in the text make the book easy to use. The notation, properties of materials and geometrical properties of sections plus brief outlines of matrix algebra, tensor calculus and calculus of variations can be found in the appendices. This publication should be regarded as a key work of reference for students, teaching staff and practising engineers. Its purpose is to show readers how to model and handle structures appropriately, to support them in designing and checking the structures within their sphere of responsibility.
| Author | : Peter H. Rossi |
| Publisher | : Academic Press |
| Total Pages | : 400 |
| Release | : 2013-10-22 |
| Genre | : Social Science |
| ISBN | : 1483288277 |
Toward a Structural Theory of Action: Network Models of Social Structure, Perception, and Action centers on the concept of social structure, perceptions, and actions, as well as the strategies through which these concepts guide empirical research. This book also proposes a model of status/role-sets as patterns of relationships defining positions in the social topology. This text consists of nine chapters separated into three parts. Chapter 1 introduces the goals and organization of the book. Chapters 2-4 provide analytical synopsis of available network models of social differentiation, and then use these models in describing actual stratification. Chapter 5 presents a model in which actor interests are captured. Subsequent chapter assesses the empirical adequacy of the two predictions described in this book. Then, other chapters provide a network model of constraint and its empirical adequacy. This book will be valuable to anthropologists, economists, political scientists, and psychologists.
| Author | : M.L.J. van de Vel |
| Publisher | : Elsevier |
| Total Pages | : 556 |
| Release | : 1993-08-02 |
| Genre | : Mathematics |
| ISBN | : 0080933106 |
Presented in this monograph is the current state-of-the-art in the theory of convex structures. The notion of convexity covered here is considerably broader than the classic one; specifically, it is not restricted to the context of vector spaces. Classical concepts of order-convex sets (Birkhoff) and of geodesically convex sets (Menger) are directly inspired by intuition; they go back to the first half of this century. An axiomatic approach started to develop in the early Fifties. The author became attracted to it in the mid-Seventies, resulting in the present volume, in which graphs appear side-by-side with Banach spaces, classical geometry with matroids, and ordered sets with metric spaces. A wide variety of results has been included (ranging for instance from the area of partition calculus to that of continuous selection). The tools involved are borrowed from areas ranging from discrete mathematics to infinite-dimensional topology.Although addressed primarily to the researcher, parts of this monograph can be used as a basis for a well-balanced, one-semester graduate course.
| Author | : Dr. B.C. Punmia |
| Publisher | : Firewall Media |
| Total Pages | : 696 |
| Release | : 2004-08 |
| Genre | : Structural analysis (Engineering) |
| ISBN | : 9788170086185 |
| Author | : Jacques Heyman |
| Publisher | : Cambridge University Press |
| Total Pages | : 150 |
| Release | : 2014-07-17 |
| Genre | : Technology & Engineering |
| ISBN | : 9781107427273 |
This text introduces the basic equations of the theory of structures. Conventional presentations of these equations follow the ideas of elastic analysis, introduced nearly two hundred years ago. The present book is written against the background of advances made in structural theory during the last fifty years, notably by the introduction of so-called plastic theory. Tests on real structures in the twentieth century revealed that structural states predicted by elastic analysis cannot in fact be observed in practice, whereas plastic ideas can be used to give accurate estimates of strength. Strength is discussed in the first part of this book without reference to equations of elastic deformation. However, the designer is concerned also with stiffness, for which elastic analysis is needed, and the standard equations (suitable, for example, for computer programming) are presented. Finally, stability is analyzed, which again is essentially an elastic phenomenon, and it is shown that a higher "factor of safety" is required to guard against buckling than that required to guarantee straightforward strength. The emphasis throughout is on the derivation and application of the structural equations, rather than on details of their solution (nowadays best done by computer), and the numerical examples are deliberately kept simple.
| Author | : J. S. C. Browne |
| Publisher | : Elsevier |
| Total Pages | : 255 |
| Release | : 2014-05-16 |
| Genre | : Technology & Engineering |
| ISBN | : 1483185796 |
Basic Theory of Structures provides a sound foundation of structural theory. This book presents the fundamental concepts of structural behavior. Organized into 12 chapters, this book begins with an overview of the essential requirement of any structure to resist a variety of loadings without changing its shape. This text then examines the application of the laws of statics to structures as a means of determining the external reactions induced at supports due to loading. Other chapters consider the dependence of stress components on the choice of reference plane. This book discusses as well the method of determining the internal forces in the bars of a truss, which depends upon applying the conditions of equilibrium. The final chapter deals with the variety of factors affecting the strength of concrete. This book is intended to be suitable for civil engineering students. Design and civil engineers will also find this book extremely useful.
