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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.

  • Medieval Studies and the Computer

    Computers and The Humanities
    • 1st Edition
    • Anne Gilmour-Bryson
    • English
    Medieval Studies and the Computer focuses on the use of computers in medieval studies and humanities research. Topics covered range from encoding and concording texts to the use of conceptual glossaries by medievalists, as well as the use of computers for compiling Middle English lexicography and the Wisconsin Dictionary of the Old Spanish Language. A computer analysis of metrical patterns in the epic Beowulf and of Notker Labeo's Old High German is also presented. Comprised of 26 chapters, this volume begins by discussing "contexts" in concordances and the set of conventions employed in text encoding. The reader is then introduced to the series of initiatives undertaken in Belgium to study Latin literature and linguistics; the use of conceptual glossaries by medieval scholars; and the use of the computer to make a word list of the Decretum Gratiani and to study Geoffrey Chaucer's vocabulary. Subsequent chapters discuss a computer program called KLIC (Key Letter In Context) for graphological analysis; a set of routines written in SAIL (Stanford Artificial Intelligence Language) for use by social historians in quantitative analysis or text processing; and the use of Mark IV, a general-purpose file management system, to analyze medieval charters. This book will be of interest to medievalists, social historians, students and scholars of humanities, and computer scientists.

  • Distributed Computer Control System

    Proceedings of the IFAC Workshop, Tampa, Florida, U.S.A., 2-4 October 1979
    • 1st Edition
    • T. J. Harrison
    • English
    Distributed Computer Control Systems: Proceedings of the IFAC Workshop, Tampa, Florida, U.S.A., 2-4 October 1979 focuses on the design, processes, methodologies, and applications of distributed computing systems. The selection first discusses the use of distributed control systems for facility energy management, including space conditioning control, plant design, central plant control, and system design. The book then takes a look at programming distributed computer systems with higher level languages. Topics include design of an application programming language for distributed computing systems; realization of a suitable programming language for distributed computing systems; and optimal structure and capabilities of an automatic control system. The text focuses on the similarities and differences of distributed computer control systems; transaction processing as an efficient conceptual framework for comparing and understanding distributed systems; and multi-processor approach for the automation of quality control in an overall production control system. The selection also deals with transaction processing in distributed control systems; parallel processing for distributed computer control systems; and design and development of distributed control systems. The book is a vital source of data for readers interested in distributed computing.

  • 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.

  • 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.

  • 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.

  • 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.

  • Geographic Information Systems for Geoscientists

    Modelling with GIS
    • 1st Edition
    • Graeme F. Bonham-Carter
    • English
    Geographic Information Systems for Geoscientists: Modelling with GIS provides an introduction to the ideas and practice of GIS to students and professionals from a variety of geoscience backgrounds. The emphasis in the book is to show how spatial data from various sources (principally paper maps, digital images and tabular data from point samples) can be captured in a GIS database, manipulated, and transformed to extract particular features in the data, and combined together to produce new derived maps, that are useful for decision-making and for understanding spatial interrelationship. The book begins by defining the meaning, purpose, and functions of GIS. It then illustrates a typical GIS application. Subsequent chapters discuss methods for organizing spatial data in a GIS; data input and data visualization; transformation of spatial data from one data structure to another; and the combination, analysis, and modeling of maps in both raster and vector formats. This book is intended as both a textbook for a course on GIS, and also for those professional geoscientists who wish to understand something about the subject. Readers with a mathematical bent will get more out of the later chapters, but relatively non-numerate individuals will understand the general purpose and approach, and will be able to apply methods of map modeling to clearly-defined problems.

  • Functional Analysis

    • 2nd Edition
    • L. V. Kantorovich + 1 more
    • English
    Functional Analysis examines trends in functional analysis as a mathematical discipline and the ever-increasing role played by its techniques in applications. The theory of topological vector spaces is emphasized, along with the applications of functional analysis to applied analysis. Some topics of functional analysis connected with applications to mathematical economics and control theory are also discussed. Comprised of 18 chapters, this book begins with an introduction to the elements of the theory of topological spaces, the theory of metric spaces, and the theory of abstract measure spaces. Many results are stated without proofs. The discussion then turns to vector spaces, normed spaces, and linear operators and functionals. Subsequent chapters deal with the analytic representation of functionals; sequences of linear operators; the weak topology in a Banach space; and compact and adjoint operators. The last section focuses on functional equations, including the adjoint equation and functional equations of the second kind. This monograph is intended for students specializing in mathematical analysis and computational mathematics.

  • 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.

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