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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.

  • Computer Systems for Human Systems

    • 1st Edition
    • Ada Demb
    • English
    Computer Systems for Human Systems focuses on the human dynamics associated with the implementation of centralized computer systems. Based on a study conducted in 1974 and 1975 in the United States, it describes a coherent framework for the management of information systems development. This framework is designed to provide those involved in the development and implementation of computer-based information systems (decision-support systems) with an outline of the analytic resources available to them as they set about their complex task. Comprised of 11 chapters, this book begins with a review of the research and conventional wisdom from the information systems literature and a list of 32 "myths" or "predictions." Major concepts from organization development theory and research are then outlined, with emphasis on the management of change and internal organizational dynamics. These concepts are then applied to the findings from earlier chapters to systematize the "predictions" and to provide a more general analytic framework for the management of information system development. Subsequent chapters present a case study of a 10-campus college system which decided to centralize all computer facilities in 1972. The study examines progress, the impacts of the system on management activity, and managerial response to the system. The final chapter summarizes the findings from the field study, relates them to the concepts and predictions outlined earlier, and generates a set of recommendations for management action. This monograph will be of interest to systems designers, information systems managers, and those involved with computer-based systems.

  • An Introduction to The Mathematics of Finance

    • 2nd Edition
    • A. H. Pollard
    • English
    An Introduction to the Mathematics of Finance provides a simple, nonmathematical introduction to the mathematics of finance. Topics discussed in this book include simple interest; compound interest—annual compounding; annuities—certain; use of compound interest; and sinking funds. The equations of value; compounding more frequently than annually; and contracts at ""flat"" rates of interest are also deliberated. This text likewise elaborates on the loans repayable by equal annual installments when interest is charged only on the amount of principal from time to time outstanding. Exercises are provided at the end of each chapter, including its corresponding solutions. This publication provides a working knowledge of the mathematics of finance that is helpful to accountants, economists, investment officers, and demographers.

  • Annual Review in Automatic Programming

    International Tracts in Computer Science and Technology and Their Application, Volume 7
    • 1st Edition
    • Mark I. Halpern + 2 more
    • English
    Computer Science and Technology and their Application is an eight-chapter book that first presents a tutorial on database organization. Subsequent chapters describe the general concepts of Simula 67 programming language; incremental compilation and conversational interpretation; dynamic syntax; the ALGOL 68. Other chapters discuss the general purpose conversational system for graphical programming and automatic theorem proving based on resolution. A survey of extensible programming language is also shown.

  • Operational Gaming

    An International Approach
    • 1st Edition
    • Ingolf StÃ¥hl
    • English
    Operational Gaming: An International Approach is the result of research carried out at the International Institute for Applied Systems Analysis (IIASA) situated at Laxenburg (near Vienna), Austria, which relates game theory and system analysis to decision making. The book first shows the relationship of game theory, experimental gaming, and operational gaming through a state-of-the-art survey. This topic includes the history, context, type, and uses of gaming. Then, the text shifts to the discussion on operational gaming, including the definitions of institutional model and game situation concepts. An overview of gaming in different nations including USSR is provided. The book also studies the international transfer of games and the East-West international trade games. The future of this field of study, as well as its implications for humans, is also examined in the latter parts. This book will be of significance to those interested in game theories and those people involved in policy and decision making in their country or organization.

  • Mathematical Analysis and Its Applications

    Proceedings of the International Conference on Mathematical Analysis and its Applications, Kuwait, 1985
    • 1st Edition
    • S. M. Mazhar + 2 more
    • English
    Mathematical Analysis and its Applications covers the proceedings of the International Conference on Mathematical Analysis and its Applications. The book presents studies that discuss several mathematical analysis methods and their respective applications. The text presents 38 papers that discuss topics, such as approximation of continuous functions by ultraspherical series and classes of bi-univalent functions. The representation of multipliers of eigen and joint function expansions of nonlocal spectral problems for first- and second-order differential operators is also discussed. The book will be of great interest to researchers and professionals whose work involves the use of mathematical analysis.

  • Structural Analysis Systems

    Software — Hardware Capability — Compatibility — Applications
    • 1st Edition
    • A. Niku-Lari
    • English
    Structural Analysis Systems: Software—Hardware Capability—Compatibi... Volume 1 is a practical guidebook on structural analysis systems and their applications. It provides detailed information about a specific software, its postprocessor capabilities and limitations, computer-aided design connection, and compatibility with the most common computers. Several practical examples from industry with computer and user cost are given. This volume consists of 22 chapters and begins with a brief description of the ADINA 84 system and its finite elements, material models, and solution capabilities. The discussion then turns to the analysis interpretive treatise and its database concept; the ANSYS program for engineering analysis; and the structural analysis capabilities of the boundary element analysis system BEASY. The following chapters explore other structural analysis programs such as DEFOR, FLASH, KYOKAI, PAFEC, and PANDA. General purpose finite element and boundary element computer programs for structural and solid mechanics applications are also described. This book will be a valuable resource for practitioners in scientific and industrial disciplines such as mechanical or civil engineering, informatics, applied mathematics, and computer science.

  • Statistical Methods of Discrimination and Classification

    Advances in Theory and Applications
    • 1st Edition
    • Sung C. Choi + 1 more
    • English
    Statistical Methods of Discrimination and Classification: Advances in Theory and Applications is a collection of papers that tackles the multivariate problems of discriminating and classifying subjects into exclusive population. The book presents 13 papers that cover that advancement in the statistical procedure of discriminating and classifying. The studies in the text primarily focus on various methods of discriminating and classifying variables, such as multiple discriminant analysis in the presence of mixed continuous and categorical data; choice of the smoothing parameter and efficiency of k-nearest neighbor classification; and assessing the performance of an allocation rule. The book will be of great use to researchers and practitioners of wide array of scientific disciplines, including engineering, psychology, biology, and physics.

  • Hyperbolic Partial Differential Equations

    Populations, Reactors, Tides and Waves: Theory and Applications
    • 1st Edition
    • Matthew Witten
    • English
    Hyperbolic Partial Differential Equations, Volume 1: Population, Reactors, Tides and Waves: Theory and Applications covers three general areas of hyperbolic partial differential equation applications. These areas include problems related to the McKendrick/Von Foerster population equations, other hyperbolic form equations, and the numerical solution. This text is composed of 15 chapters and begins with surveys of age specific population interactions, populations models of diffusion, nonlinear age dependent population growth with harvesting, local and global stability for the nonlinear renewal equation in the Von Foerster model, and nonlinear age-dependent population dynamics. The next chapters deal with various applications of hyperbolic partial differential equations to such areas as age-structured fish populations, density dependent growth in a cell colony, boll-weevil-cotton crop modeling, age dependent predation and cannibalism, parasite populations, growth of microorganisms, and stochastic perturbations in the Von Foerster model. These topics are followed by discussions of bifurcation of time periodic solutions of the McKendrick equation; the periodic solution of nonlinear hyperbolic problems; and semigroup theory as applied to nonlinear age dependent population dynamics. Other chapters explore the stability of biochemical reaction tanks, an ADI model for the Laplace tidal equations, the Carleman equation, the nonequilibrium behavior of solids that transport heat by second sound, and the nonlinear hyperbolic partial differential equations and dynamic programming. The final chapters highlight two explicitly numerical applications: a predictor-convex corrector method and the Galerkin approximation in hyperbolic partial differential equations. This book will prove useful to practicing engineers, population researchers, physicists, and mathematicians.

  • An Introduction to Real Analysis

    The Commonwealth and International Library: Mathematical Topics
    • 1st Edition
    • Derek G. Ball
    • C. Plumpton
    • English
    An Introduction to Real Analysis presents the concepts of real analysis and highlights the problems which necessitate the introduction of these concepts. Topics range from sets, relations, and functions to numbers, sequences, series, derivatives, and the Riemann integral. This volume begins with an introduction to some of the problems which are met in the use of numbers for measuring, and which provide motivation for the creation of real analysis. Attention then turns to real numbers that are built up from natural numbers, with emphasis on integers, rationals, and irrationals. The chapters that follow explore the conditions under which sequences have limits and derive the limits of many important sequences, along with functions of a real variable, Rolle's theorem and the nature of the derivative, and the theory of infinite series and how the concepts may be applied to decimal representation. The book also discusses some important functions and expansions before concluding with a chapter on the Riemann integral and the problem of area and its measurement. Throughout the text the stress has been upon concepts and interesting results rather than upon techniques. Each chapter contains exercises meant to facilitate understanding of the subject matter. This book is intended for students in colleges of education and others with similar needs.

  • Computational Problems in Abstract Algebra

    Proceedings of a Conference Held at Oxford Under the Auspices of the Science Research Council Atlas Computer Laboratory, 29th August to 2nd September 1967
    • 1st Edition
    • John Leech
    • English
    Computational Problems in Abstract Algebra provides information pertinent to the application of computers to abstract algebra. This book discusses combinatorial problems dealing with things like generation of permutations, projective planes, orthogonal latin squares, graphs, difference sets, block designs, and Hadamard matrices. Comprised of 35 chapters, this book begins with an overview of the methods utilized in and results obtained by programs for the investigation of groups. This text then examines the method for establishing the order of a finite group defined by a set of relations satisfied by its generators. Other chapters describe the modification of the Todd–Coxeter coset enumeration process. This book discusses as well the difficulties that arise with multiplication and inverting programs, and of some ways to avoid or overcome them. The final chapter deals with the computational problems related to invariant factors in linear algebra. Mathematicians as well as students of algebra will find this book useful.

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