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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.

  • Hypersingular Integral Equations in Fracture Analysis

    • 1st Edition
    • Whye-Teong Ang
    • English
    Hypersingular Integral Equations in Fracture Analysis explains how plane elastostatic crack problems may be formulated and solved in terms of hypersingular integral equations. The unknown functions in the hypersingular integral equations are the crack opening displacements. Once the hypersingular integral equations are solved, the crack tip stress intensity factors, which play an important role in fracture analysis, may be easily computed. This title consists of six chapters: Elastic crack problems, fracture mechanics, equations of elasticity and finite-part integrals; Hypersingular integral equations for coplanar cracks in anisotropic elastic media; Numerical methods for solving hypersingular integral equations; Hypersingular boundary integral equation method for planar cracks in an anisotropic elastic body; A numerical Green's function boundary integral approach for crack problems; and Edge and curved cracks and piezoelectric cracks. This book provides a clear account of the hypersingular integral approach for fracture analysis, gives in complete form the hypersingular integral equations for selected crack problems, and lists FORTRAN programs of numerical methods for solving hypersingular integral equations.

  • Explorations in Topology

    Map Coloring, Surfaces and Knots
    • 2nd Edition
    • David Gay
    • English
    Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will help them make sense of future, more formal topology courses. The book's innovative story-line style models the problem-solving process, presents the development of concepts in a natural way, and engages students in meaningful encounters with the material. The updated end-of-chapter investigations provide opportunities to work on many open-ended, non-routine problems and, through a modified "Moore method," to make conjectures from which theorems emerge. The revised end-of-chapter notes provide historical background to the chapter's ideas, introduce standard terminology, and make connections with mainstream mathematics. The final chapter of projects provides ideas for continued research. Explorations in Topology, Second Edition, enhances upper division courses and is a valuable reference for all levels of students and researchers working in topology.

  • Introduction to Probability

    • 2nd Edition
    • George G. Roussas
    • English
    Introduction to Probability, Second Edition, discusses probability theory in a mathematically rigorous, yet accessible way. This one-semester basic probability textbook explains important concepts of probability while providing useful exercises and examples of real world applications for students to consider. This edition demonstrates the applicability of probability to many human activities with examples and illustrations. After introducing fundamental probability concepts, the book proceeds to topics including conditional probability and independence; numerical characteristics of a random variable; special distributions; joint probability density function of two random variables and related quantities; joint moment generating function, covariance and correlation coefficient of two random variables; transformation of random variables; the Weak Law of Large Numbers; the Central Limit Theorem; and statistical inference. Each section provides relevant proofs, followed by exercises and useful hints. Answers to even-numbered exercises are given and detailed answers to all exercises are available to instructors on the book companion site. This book will be of interest to upper level undergraduate students and graduate level students in statistics, mathematics, engineering, computer science, operations research, actuarial science, biological sciences, economics, physics, and some of the social sciences.

  • An Introduction to Nonsmooth Analysis

    • 1st Edition
    • Juan Ferrera
    • English
    Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this subject consists mainly in research papers and books. The purpose of this book is to provide a handbook for undergraduate and graduate students of mathematics that introduce this interesting area in detail.

  • Evaluating Performance in Physical Education

    • 1st Edition
    • B. Don Franks + 1 more
    • English
    Evaluating Performance in Physical Education describes the tools and techniques that can be used by teachers to assess student performance, curriculum, and method of teaching. The book discusses conventional material in evaluating physical education performance through written, fitness tests, and elementary statistics. The text also explains nonparametric statistics, subjective evaluation, and a theoretical model for fitness and performance. The authors review the functions, evaluation, and administration of testing. The authors also explain in more detail subjective evaluation and offer three forms: 1) experience of the teacher; 2) skill to be rated; and 3) length of time for rating. In testing events, nonparametric statistical procedures show more reliability; parametric procedures are preferably to be used in established research stations. The authors also list some guidelines to be followed in evaluating the student such as objectives, assignment of grades, and acceptance of the grading plan. The book also discusses procedures when evaluation involves large groups. The text can assist physical education teachers, school administrators, and educators in evaluating their subject course or curricula.

  • 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.

  • 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.

  • Handbook of Automotive Design Analysis

    • 1st Edition
    • John Fenton
    • English
    Handbook of Automotive Design Analysis examines promising approaches to automotive design analysis. The discussions are organized based on the major “technological divisions” of motor vehicles: the transmission gearbox and drive line; steering and suspension; and the automobile structure. This handbook is comprised of three chapters; the first of which deals with transmission gearboxes and drive lines. This chapter describes manual-shift gearbox design, synchromesh mechanisms, hydrokinetic automatic gearboxes, drive-line main assemblies, and drive-line losses. The next chapter is about vehicle suspensions and optimum handling performance, with emphasis on two categories of handling of vehicles: steady-state turning (or cornering) and the transient state. The behavior of the steering system, ride parameters, and the design and installation of spring elements are discussed. The third and final chapter focuses on the application of structural design analysis to the automotive structure. After explaining the fundamentals of structural theory in car body design, this book presents the analysis of commercial vehicle body and chassis. Throughout the book, maximum use is made of line-drawings and concise textural presentation to provide the working designer with an easy assimilable account of automotive design analysis. This book will be useful to young automotive engineers and newcomers in automotive design.

  • An Introduction to Psychoanalytic Theory of Motivation

    • 1st Edition
    • Walter Toman
    • English
    An Introduction to Psychoanalytic Theory of Motivation details the fundamental concepts in applying the psychoanalytic theory in understanding motivation. The title addresses the short-comings of the psychoanalytic theory, particularly the lack of scientific literature. The first part of the text covers the critical concepts in psychoanalytic theory, such as the psychological forces, defense mechanisms, superego, and primal desires. In the second part, the selection details the theory at work; this part discusses the major stages of life from a psychoanalytic perspective. The text also talks about a system of psychopathology, along with the consideration to take in psychotherapy. The book will be of great interest to students, researchers, and practitioners of behavioral science.

  • 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.

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