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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.

  • Operational Expert System Applications in Europe

    • 1st Edition
    • Gian Piero Zarri
    • English
    Operational Expert System Applications in Europe describes the representative case studies of the operational expert systems (ESs) that are used in Europe. This compilation provides examples of operational ES that are realized in 10 different European countries, including countries not usually examined in the standard reviews of the field. This book discusses the decision support system using several artificial intelligence tools; expert systems for fault diagnosis on computerized numerical control (CNC) machines; and expert consultation system for personal portfolio management. The failure probability based troubleshooting expert system for the Airbus A-310; automatic diagnosis of rotating machinery faults; and expert system for naval resource allocation are also covered. This publication is suitable for researchers and specialists interested in the operational expert system applications in Europe.
  • Coalition and Connection in Games

    Problems of Modern Game Theory Using Methods Belonging to Systems Theory and Information Theory
    • 1st Edition
    • Silviu Guiasu + 1 more
    • English
    Coalition and Connection in Games: Problems of Modern Game Theory using Methods Belonging to Systems Theory and Information Theory focuses on coalition formation and on connections occurring in games, noting the use of mathematical models in the evaluation of processes involved in games. The book first takes a look at the process of strategy in playing games in which the conditional choices of players are noted. The sequence of decisions during the playing of games and observance of the rules are emphasized. The text also ponders on the mathematical tool of game theory in which the differences in the playing of games is seen as influenced by the number of players involved. The manuscript reviews how the von Neumann-Morgenstern theory is used in measuring the conditions on how games are played. The theory points out that games with more than two players call for the introduction of concepts and an instrument in comparison with two-person zero-sum games. The text also underscores the tendency of players to obtain a large share of the payoff, whether playing by themselves or participating in coalitions. The book is a fine reference for readers interested in the analysis of game theories.
  • 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.
  • Annual Review in Automatic Programming

    Volume 9
    • 1st Edition
    • M. I. Halpern
    • English
    Annual Review in Automatic Programming, Volume 9 deals with automatic programming, with emphasis on the programming language ALGOL 68. The book demonstrates the progression in the formal definition of programming languages from ALGOL 60 through to the revised version of ALGOL 68. Other topics range from real-time operating systems and process control languages to data flow analysis, microprocessors, design automation, real-time system specifications, and Fortran real-time programming. After an introduction to the formal definition of ALGOL 68, this volume turns to an operating system which provides for a flexible interface to support a wide spectrum of real-time language facilities. The chapters that follow focus on data flow through the elements of a real time application, the possibilities as well as the problems of future microprocessor applications in real-time systems, and the design goals and main principles of a monitor called SIMON. A language based upon an automaton model is also described, with particular reference to synchronizations between actions and events. In addition, the book presents a pilot study of the possibility to develop an integrated interactive system for computer aided design of control computer systems and considers the industrial real-time BASIC designed for process control. A chapter discussing the unique distributed DDC system developed by Tokyo Gas Company and Hitachi for city gas production plants concludes the book. This book will be of use to students and professionals interested in programming languages.
  • The New Chess Computer Book

    Pergamon Chess Series
    • 1st Edition
    • T. D. Harding
    • Jill Price + 1 more
    • English
    The New Chess Computer Book is a revised edition of The Chess Computer Book that contains more than 50 percent new material about chess-playing microcomputers. Since the first edition of the book was written there have been large numbers of machines launched, some of which the author has been able to test over a long period. Inevitably there are new chess-playing, microcomputers machines, and updated modules for older ones, coming out all the time, with launch dates for machines in different countries often being different, due to commercial considerations. However, an attempt has been made to discuss in detail every top-of-the-range machine available on the British market. The book begins with a brief survey of the origins of chess computing and the development of chess-playing machines. This is followed by separate chapters on topics such as the types of machines that play chess; modular chess computers; computer hardware and software; and developments in chess microcomputers in the latter half of 1984.
  • Mathematical Games and Pastimes

    Popular Lectures in Mathematics
    • 1st Edition
    • A. P. Domoryad
    • I. N. Sneddon + 1 more
    • English
    Mathematical Games and Pastimes focuses on numerical solutions to mathematical games and pastimes. The book first discusses the binary system of notation and the system of notation with the base three. Congruences, Pythagorean and Heronic triples, and arithmetical pastimes are explained. The text takes a look at the nature of numerical tricks. Guessing the results of operations with unknown numbers; determination of numbers thought of using three tables; and extraction of roots of multidigit numbers are explained. The selection also touches on rapid calculations, games with piles of objects, Meleda, solitaire, and Lucas’ game. Problems on determining ways to reach goals are also presented. Games that show the numerous ways to reach goals are discussed. The text also examines Euler squares, dominoes, and problems related to the chess board. Pastimes related to objects changing places are also highlighted. Topics include Lucas’ problem, Ruma, and Monge’s shuffle. The book is highly recommended for readers wanting to find solutions to mathematical games and pastimes.
  • Programming in COBOL

    Library of Computer Education
    • 1st Edition
    • G. T. Lancaster
    • Anthony Chandor
    • English
    Programming in COBOL is a simple yet concise how-to book that teaches the programming language in a short yet effective step-by-step manner, which can be easily understood by anyone with sufficient knowledge in information technology. Covering first the advantages of COBOL over other programming languages, the book discusses COBOL's divisions - identification, environment, procedure, and data, and then describes the testing of the COBOL source programs and program questions. The book is valuable for those who wish to learn basic COBOL language, but do not have the time to take manufacturers' or technical college courses. Intended readers include experienced computer programmers familiar with other programming languages but not with COBOL, as well as students taking a course in computer science. The book is also helpful as it includes self-assessment questions for readers to ensure they understood the principles covered.
  • Analogues for the Solution of Boundary-Value Problems

    International Tracts in Computer Science and Technology and Their Application
    • 1st Edition
    • B. A. Volynskii + 1 more
    • N. Metropolish + 2 more
    • English
    Analogues for the Solution of Boundary-Value Problems considers the simulation of integral methods of solving boundary-value problems. This book is organized into 11 chapters. After the introduction provided in Chapter I, the formulation of some important engineering problems that reduce to the solution of partial differential equations is reviewed in Chapter II. Chapter III covers the mathematical methods for the solution of problems, such as the thermal problem of electrode graphitization and underground coal gasification. The theory of the physical processes of electrical simulation and principles involved in the construction of analogues is elaborated in Chapter IV, while the measurements in electrical analogues is deliberated in Chapter V. Chapters VI to VIII describe the construction of network analyzers and star-integrating networks. The methods of physical simulation for the solution of certain boundary-value problems are analyzed in Chapter IX. Chapters X and XI are devoted to future improvements and developments in analogues for the solution of boundary-value problems. This publication is intended for college students and specialists engaged in solving boundary-value problems.
  • 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.
  • Software Reliability

    State of the Art Report 14:2
    • 1st Edition
    • A. Bendell + 1 more
    • English
    Software Reliability reviews some fundamental issues of software reliability as well as the techniques, models, and metrics used to predict the reliability of software. Topics covered include fault avoidance, fault removal, and fault tolerance, along with statistical methods for the objective assessment of predictive accuracy. Development cost models and life-cycle cost models are also discussed. This book is divided into eight sections and begins with a chapter on adaptive modeling used to predict software reliability, followed by a discussion on failure rate in software reliability growth models. The next chapter deals with methods for predicting and estimating software reliability, with emphasis on their strengths and weaknesses. The reader is methodically introduced to formal inspection in software development; the effects of product design, program structure, development methods, and the environments of product testing and use on product reliability; and types of software metrics in relation to reliability. The remaining chapters explore the ways in which software engineers have sought to achieve software reliability through testing; problems and standards in software reliability data collection; and applications of time series models to software reliability analysis. This monograph will be of interest to software engineers and designers.