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Elsevier

Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

  • Variational, Incremental and Energy Methods in Solid Mechanics and Shell Theory

    • 1st Edition
    • Volume 4
    • J. Mason
    • English
    Studies in Applied Mechanics, 4: Variational, Incremental, and Energy Methods in Solid Mechanics and Shell Theory covers the subject of variational, incremental, and energy methods in Solid Mechanics and Shell Theory from a general standpoint, employing general coordinates and tensor notations. The publication first ponders on mathematical preliminaries, kinematics and stress in three-dimensional solid continua, and the first and second laws of thermodynamics. Discussions focus on the principles of virtual displacements and virtual forces, kinematics of rigid body motions, incremental stresses, kinematics of incremental deformation, description of motion, coordinates, reference and deformed states, tensor formulas for surfaces, and differentials and derivatives of operators. The text then elaborates on constitutive material laws, deformation and stress in shells, first law of thermodynamics applied to shells, and constitutive relations and material laws for shells. Concerns cover hyperelastic incremental material relations, material laws for thin elastic shells, incremental theory and stability, reduced and local forms of the first law of thermodynamics, and description of deformation and motion in shells. The book examines elastic stability, finite element models, variational and incremental principles, variational principles of elasticity and shell theory, and constitutive relations and material laws for shells. The publication is a valuable reference for researchers interested in the variational, incremental, and energy methods in solid mechanics and shell theory.

  • Computer-Aided Design International Yearbook 1985

    • 1st Edition
    • Alison Smith
    • English
    Computer-Aided Design International Yearbook 1985 covers developments and trends in computer-aided design. This book examines the role of the computer in making design decisions and surveys the CAD industry. This text also presents a run-down of the latest acquisitions of companies in the field and a survey of the major firms working in CAD. The main part of this yearbook is taken up by a directory of products and vendors and manufacturers of CAD equipment. This yearbook consists of 13 chapters and begins with a discussion on the importance of computers in design decision-making, as well as historical precedents in the evolutionary stages in the development of human's control over his environment. The next chapter presents an overview of the status of the CAD industry. After providing a profile of Scottish company Lattice Logic, this book turns to Plessey Airports of the UK and its investment in CAD. A directory of products and manufacturers of CAD equipment follows. Entries are organized alphabetically by vendor and are grouped under four headings: turnkey systems, software, system components, and services. This book also provides lists of useful addresses and product indexes. This monograph will be of interest to CAD users and vendors alike.

  • Statistical Theory of Signal Detection

    International Series of Monographs in Electronics and Instrumentation
    • 2nd Edition
    • Carl W. Helstrom
    • D. W. Fry + 2 more
    • English
    Statistical Theory of Signal Detection, Second Edition provides an elementary introduction to the theory of statistical testing of hypotheses that is related to the detection of signals in radar and communications technology. This book presents a comprehensive survey of digital communication systems. Organized into 11 chapters, this edition begins with an overview of the theory of signal detection and the typical detection problem. This text then examines the goals of the detection system, which are defined through an analogy with the testing of statistical hypotheses. Other chapters consider the noise fluctuations in terms of probability distributions whereby the statistical information is used to design a receiver that attains the maximum rate of successful detections in a long series of trials. This book discusses as well the criteria of success and failure in statistical situations. The final chapter deals with the types of stochastic signals. This book is a valuable resource for mathematicians and engineers.

  • Women in Computing

    • 1st Edition
    • Judith A. Morris
    • English
    Women in Computing presents how the computing industry delivered the opportunities for women. This book identifies the distinct attitudes in companies towards equal opportunities. Organized into eight chapters, this book begins with an overview of the problems, the opportunities, the successes and failures, and provides some insight into what can be done by women to make use of the massive potential they have in the future industry. This text then examines the problem to introduce computing to girls in school, which has not been taught properly in schools due to lack of right equipment or lack of training of the teachers. Other chapters consider the positive attitude of most major computer manufacturers and software houses to the employment of women. This book discusses as well the problems faced by women in the work place, including sexual harassment and lack of cooperation from male colleagues. The final chapter deals with the need for change in the computing industry. This book is a valuable resource for employees and employers.

  • Equilibrium Statistical Mechanics

    • 1st Edition
    • J. E. Mayer
    • English
    The International Encyclopedia of Physical Chemistry and Chemical Physics, Volume 1: Equilibrium Statistical Mechanics covers the fundamental principles and the development of theoretical aspects of equilibrium statistical mechanics. Statistical mechanical is the study of the connection between the macroscopic behavior of bulk matter and the microscopic properties of its constituent atoms and molecules. This book contains eight chapters, and begins with a presentation of the master equation used for the calculation of the fundamental thermodynamic functions. The succeeding chapters highlight the characteristics of the partition function and its application to the analysis of perfect and imperfect gases, solids, and dense fluids. These topics are followed by discussions on the fundamentals of quantum statistics, with particular emphasis on its application in certain media. The last chapter outlines the derivation of the relations between the partition functions and the thermodynamic quantities. This book will be of value to physical chemists, chemical physicists, mathematicians, and researchers in the allied fields of statistical mechanics.

  • Computers in the Service of Society

    • 1st Edition
    • Robert Lee Chartrand
    • English
    Computers in the Service of Society examines the role of computers in contemporary society. Based on a seminar series given in the spring of 1969 and co-sponsored by The American University, the book discusses the different societal problems that may be ameliorated by the application of computer technology. The focus of the book is on man’s response to computers, whether the multiple roles of the computer can be comprehended by the decision makers of our times, and whether the vast potential as well as limitations of automatic data processing can be conveyed to the public at large. The book consists of 10 chapters and begins with an overview of the evolution and impact of systems methodology and computer technology; their application to the management of information; and Congress’s increasing awareness of the potential of systems technology, especially the electronic computer. The text then turns its attention to the development of policies for national scientific and technical information systems; systems management in government; how computers help the government in serving society; and acceptance and use of computer technology by corporate management. The possibility of computer-utility services evolving as regulated services is also considered. The book concludes by assessing where the computer is likely to take us in the last third of the 20th century, paying particular attention to the possibility of applying computer technology to the operations of Congress and the legislative process. The text will be of interest to planners, decision makers, professionals, and students working in the field of computer technology.

  • Neural Modeling and Neural Networks

    • 1st Edition
    • F. Ventriglia
    • English
    Research in neural modeling and neural networks has escalated dramatically in the last decade, acquiring along the way terms and concepts, such as learning, memory, perception, recognition, which are the basis of neuropsychology. Nevertheless, for many, neural modeling remains controversial in its purported ability to describe brain activity. The difficulties in "modeling" are various, but arise principally in identifying those elements that are fundamental for the expression (and description) of superior neural activity. This is complicated by our incomplete knowledge of neural structures and functions, at the cellular and population levels. The first step towards enhanced appreciation of the value of neural modeling and neural networks is to be aware of what has been achieved in this multidisciplinary field of research. This book sets out to create such awareness. Leading experts develop in twelve chapters the key topics of neural structures and functions, dynamics of single neurons, oscillations in groups of neurons, randomness and chaos in neural activity, (statistical) dynamics of neural networks, learning, memory and pattern recognition.

  • Mathematical Theory of Sedimentation Analysis

    Physical Chemistry: A Series of Monographs
    • 1st Edition
    • Hiroshi Fujita
    • Eric Hutchinson + 1 more
    • English
    Mathematical Theory of Sedimentation Analysis presents the flow equations for the ultracentrifuge. This book is organized into two parts encompassing six chapters that evaluate the systems of reacting components, the differential equations for the ultracentrifuge, and the case of negligible diffusion. The first chapters consider the Archibald method for molecular weight determination; pressure-dependent sedimentation; expressions for the refractive index and its gradient; relation between refractive index and concentration; and the analysis of Gaussian distribution. Other chapters deal with the basic equations for three-component systems, the extension of the Archibald method to multicomponent systems, and the case of independent sedimentation and diffusion. These topics are followed by a presentation of the extrapolation procedures due to Oth and Desreux. The last chapters are devoted to the examination of the Johnston-Ogston effect and sedimentation with a differential boundary. The book can provide useful information to chemists, physicists, students, and researchers.

  • Methods of Functional Analysis for Application in Solid Mechanics

    • 1st Edition
    • Volume 9
    • J. Mason
    • English
    Publications oriented to the interests of engineering scientists and graduate students on topics of functional analysis and its applications are rare - this book has been written to fill the gap in the literature. It provides a readable account of basic mathematic topics, with illustrative examples and chapters devoted to finite elements, variational principles of elasticity and plasticity, variational inequalities and elastic stability. The text is entirely self-contained and covers a wide range of topics and ideas, from elementary concepts to modern theories and applications, and includes numerous references. It is written for engineers, graduate students and researchers who need a general knowledge of modern mathematical methods in solid mechanics.

  • Basic Stress Analysis

    • 1st Edition
    • M J Iremonger
    • English
    BASIC Stress Analysis aims to help students to become proficient at BASIC programming by actually using it in an important engineering subject. It also enables the student to use computing as a means of learning stress analysis because writing a program is analogous to teaching—it is necessary to understand the subject matter. The book begins by introducing the BASIC approach and the concept of stress analysis at first- and second-year undergraduate level. Subsequent chapters contain a summary of relevant theory, worked examples containing computer programs, and a set of problems. Topics covered include direct stress and strain; shear and torsion; bending; complex stress and strain; failure; and axisymmetric systems. Each chapter includes worked examples that are posed as questions. A listing of a possible program is given followed by an example of its output and some ""Program Notes."" These notes explain the structure of the program and how it utilizes the stress analysis theory.

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