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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.

  • Numerical Methods in Software and Analysis

    • 2nd Edition
    • John R. Rice
    • English
    Numerical Methods, Software, and Analysis, Second Edition introduces science and engineering students to the methods, tools, and ideas of numerical computation. Introductory courses in numerical methods face a fundamental problem—there is too little time to learn too much. This text solves that problem by using high-quality mathematical software. In fact, the objective of the text is to present scientific problem solving using standard mathematical software. This book discusses numerous programs and software packages focusing on the IMSL library (including the PROTRAN system) and ACM Algorithms. The book is organized into three parts. Part I presents the background material. Part II presents the principal methods and ideas of numerical computation. Part III contains material about software engineering and performance evaluation. A uniform approach is used in each area of numerical computation. First, an intuitive development is made of the problems and the basic methods for their solution. Then, relevant mathematical software is reviewed and its use outlined. Many areas provide extensive examples and case studies. Finally, a deeper analysis of the methods is presented as in traditional numerical analysis texts.
  • Further Computer Appreciation

    • 1st Edition
    • T. F. Fry
    • English
    Further Computer Appreciation is a comprehensive cover of the principles and aspects in computer appreciation. The book starts by describing the development of computers from the first to the third computer generations, to the development of processors and storage systems, up to the present position of computers and future trends. The text tackles the basic elements, concepts and functions of digital computers, computer arithmetic, input media and devices, and computer output. The basic central processor functions, data storage and the organization of data by classification of computer files, identifying records and coding are also considered. The book discusses as well the systems and management considerations, programming and software, and hardware systems. The text is useful for computer science, computer engineering and computer programming students.
  • 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.
  • The Data Processing Security Game

    Safeguarding Against the Real Dangers of Computer Abuse
    • 1st Edition
    • Robert S. Becker
    • English
    The Data Processing Security Game: Safeguarding against the Real Dangers of Computer Abuse aims to propose the fundamental elements required to insure satisfactory data processing (DP) security levels in a business setting. This text first presents the basic philosophical points regarding DP security game and the organization of this book. This selection then gives an assessment or self-evaluation of the DP environment, which is followed by a discussion on the basic areas of physical security to be considered. A significant area in the DP security game, which is magnetic volume control, is then discussed. This book then explains system security, backup procedure, control aspects, and business considerations. This selection will be very invaluable to those wanting to explore data processing security and apply it to a business environment.
  • 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.
  • Elementary Vectors

    Pergamon International Library
    • 3rd Edition
    • E. Å’. Wolstenholme
    • English
    Elementary Vectors, Third Edition serves as an introductory course in vector analysis and is intended to present the theoretical and application aspects of vectors. The book covers topics that rigorously explain and provide definitions, principles, equations, and methods in vector analysis. Applications of vector methods to simple kinematical and dynamical problems; central forces and orbits; and solutions to geometrical problems are discussed as well. This edition of the text also provides an appendix, intended for students, which the author hopes to bridge the gap between theory and application in the real world. The text will be a superb reference material for students of higher mathematics, physics, and engineering.
  • Digital Computers in Action

    The Commonwealth and International Library: Computing Science and Cybernetics Division
    • 1st Edition
    • A. D. Booth
    • F. H. George
    • English
    Digital Computers in Action is an introduction to the basics of digital computers as well as their programming and various applications in fields such as mathematics, science, engineering, economics, medicine, and law. Other topics include engineering automation, process control, special purpose games-playing devices, machine translation and mechanized linguistics, and information retrieval. This book consists of 14 chapters and begins by discussing the history of computers, from the idea of performing complex arithmetical calculations to the emergence of a modern view of the structure of a general purpose computing machine. Some of the most important applications of computers are also considered. This text introduces the structure and capabilities of the modern electronic digital computer; what operations can be performed by a typical machine and how these operations make the process of automatic calculation a useful one; and the uses of digital computers in mathematics, science, engineering, economics, medicine, and law. This book also examines the applications of computers to the automation of production engineering, process control in refinery transportation and the factory, and machine translation and mechanized linguistics. The final chapter deals with the use of computers in information storage and retrieval. This reference material is intended for students who wish to know how computers can be of assistance in their own disciplines.
  • 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.
  • 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.