-PDF Download- The Theory Of 2 Structures EBOOK

The Theory of 2-structures

Author: Andrzej Ehrenfeucht

Publisher: World Scientific

Published: 1999

Total Pages: 316

ISBN-13: 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.

The Theory of 2-Structures

Author: A Ehrenfeucht

Publisher: World Scientific Publishing Company

Published: 1999-08-30

Total Pages: 308

ISBN-13: 9813105577

DOWNLOAD EBOOK →

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 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. Request Inspection Copy

The History of the Theory of Structures

Author: Karl-Eugen Kurrer

Publisher: John Wiley & Sons

Published: 2012-01-09

Total Pages: 864

ISBN-13: 3433601348

DOWNLOAD EBOOK →

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.

Theory of Structures

Author: Peter Marti

Publisher: John Wiley & Sons

Published: 2013-03-20

Total Pages: 997

ISBN-13: 3433602611

DOWNLOAD EBOOK →

Das Werk liefert eine einheitliche Darstellung der Baustatik auf der Grundlage der Technischen Mechanik. Es behandelt Stab- und Flächentragwerke nach der Elastizitäts- und Plastizitätstheorie. Es betont den geschichtlichen Hintergrund und den Bezug zur praktischen Ingenieurtätigkeit und dokumentiert erstmals in umfassender Weise die spezielle Schule, die sich in den letzten 50 Jahren an der ETH in Zürich herausgebildet hat. Als Lehrbuch enthält das Werk viele durchgearbeitete Beispiele und Aufgaben zum vertieften Studium. Die einzelnen Kapitel werden durch Zusammenfassungen abgeschlossen, welche die wichtigsten Lehrinhalte in prägnanter Form hervorheben. Die verwendeten Fachausdrücke sind in einem Anhang definiert. Als Nachschlagewerk enthält das Buch ein umfassendes Stichwortverzeichnis. Die Gliederung des Inhalts und Hervorhebungen im Text erleichtern die Übersicht. Bezeichnungen, Werkstoff- und Querschnittswerte sowie Abrisse der Matrizenalgebra, der Tensorrechnung und der Variationsrechnung sind in Anhängen zusammengefasst. Insgesamt richtet sich das Buch als Grundlagenwerk an Studierende und Lehrende ebenso wie an Bauingenieure in der Praxis. Es bezweckt, seine Leser zu einer sinnvollen Modellierung und Behandlung von Tragwerken zu befähigen und sie bei den unter ihrer Verantwortung vorgenommenen Projektierungs- und Überprüfungsarbeiten von Tragwerken zu unterstützen.

Elements of Stress Analysis

Author: Jacques Heyman

Publisher: Cambridge University Press

Published: 1982-04

Total Pages: 124

ISBN-13: 9780521245234

DOWNLOAD EBOOK →

This book analyses problems in elasticity theory, highlighting elements of structural analysis in a simple and straightforward way.

SMTS-II Theory of Structures

Author: Dr. B.C. Punmia

Publisher: Firewall Media

Published: 2004-08

Total Pages: 696

ISBN-13: 9788170086185

DOWNLOAD EBOOK →

Relativistic Electronic Structure Theory - Fundamentals

Author:

Publisher: Elsevier

Published: 2002-11-22

Total Pages: 947

ISBN-13: 0080540465

DOWNLOAD EBOOK →

The first volume of this two part series is concerned with the fundamental aspects of relativistic quantum theory, outlining the enormous progress made in the last twenty years in this field. The aim was to create a book such that researchers who become interested in this exciting new field find it useful as a textbook, and do not have to rely on a rather large number of specialized papers published in this area. · No title is currently available that deals with new developments in relativistic quantum electronic structure theory · Interesting and relevant to graduate students in chemistry and physics as well as to all researchers in the field of quantum chemistry · As treatment of heavy elements becomes more important, there will be a constant demand for this title

New Foundations for Physical Geometry

Author: Tim Maudlin

Publisher:

Published: 2014-02

Total Pages: 374

ISBN-13: 0198701306

DOWNLOAD EBOOK →

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.

Theory of Convex Structures

Author: M.L.J. van de Vel

Publisher: Elsevier

Published: 1993-08-02

Total Pages: 556

ISBN-13: 0080933106

DOWNLOAD EBOOK →

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.