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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.

  • Nonlinear Finite Element Analysis and Adina

    Proceedings of the 4th ADINA Conference
    • 1st Edition
    • K. J. Bathe
    • English
    Nonlinear Finite Element Analysis and ADINA contains the proceedings of the Fourth ADINA Conference held at Massachusetts Institute of Technology on June 15-17, 1983. Separating the papers presented in the conference as chapters, this book first elucidates the use of ADINA for analysis of mines with explosive fills. Subsequent chapters explore the use of ADINA in soil mechanics; nonlinear shell analysis; analysis of bond between prestressed steel and concrete; determination and simulation of stable crack growth; offshore structures analysis; modeling of traveling-loads and time-dependent masses; and comparison of two slideline methods. Other notable applications of ADINA are also shown.

  • Control Applications of Nonlinear Programming

    Proceedings of the IFAC Workshop, Denver, Colorado, USA, 21 June 1979
    • 1st Edition
    • H. E. Rauch
    • English
    Control Applications of Nonlinear Programming contains the proceedings of the International Federation of Automatic Control Workshop on Control Applications of Nonlinear Programming, held in Denver, Colorado, on June 21, 1979. The workshop provided a forum for discussing the application of optimal and nonlinear programming techniques to real-life control problems. The volume covers a variety of specific applications ranging from microprocessor control of automotive engines and optimal design of structures to optimal aircraft trajectories, system identification, and robotics. Comprised of 14 chapters, this book begins by describing the application of nonlinear programming to an optimum design problem coming from mechanical engineering. The reader is then introduced to a nonlinear regulator design for magnetic suspension; optimal control solution of the automotive emission-constrained minimum fuel problem; and nonlinear programming for system identification. Subsequent chapters focus on mathematical programming algorithms based on Lagrangian functions for solving optimal control problems; computer-aided design via optimization; optimal and suboptimal control of oscillating dynamical systems; and the application of nonlinear programming to the solution of optimal output-constrained regulator problems. This monograph will be of interest to mathematicians, computer scientists, and engineers.

  • Artificial Intelligence in Real-Time Control

    Proceedings of the IFAC Workshop, Clyne Castle, Swansea, UK, 21–23 September 1988
    • 1st Edition
    • M. G. Rodd + 1 more
    • English
    Artificial Intelligence in Real-Time Control documents the proceedings of the IFAC Workshop held in Clyne Castle, Swansea, UK, 21-23 September 1988. It includes two keynote addresses that discussed architectural issues for expert systems in real-time control; the problem of representing knowledge and reasoning; and the problems encountered in obtaining such information. Other papers contained in these proceedings are representative of the major research bodies active throughout the world in the application of AI techniques in real-time control, although it was inevitable that a Europe-based conference would highlight the work of the European groups. While AI is clearly still in the process of establishing itself, it is undoubtedly a major new area of engineering endeavor. Practical experience is still relatively limited, and many of the results discussed at this event were obtained through simulation or, in a few cases, from reduced practical experience. The importance, though, lies in the fact that many countries are pouring extensive resources into the attempt to control difficult processes by using AI techniques. The wide cross section of interest was demonstrated by the fact that many diverse industries were represented at the workshop—ranging from power-systems control to telecommunications, and into the steel industry.

  • Relational Databases

    State of the Art Report 14:5
    • 1st Edition
    • D A Bell
    • English
    Relational Databases explores the major advances in relational databases and provides a balanced analysis of the state of the art in relational databases. Topics covered include capture and analysis of data placement requirements; distributed relational database systems; data dependency manipulation in database schemata; and relational database support for computer graphics and computer aided design. This book is divided into three sections and begins with an overview of the theory and practice of distributed systems, using the example of INGRES from Relational Technology as illustration. The following chapters focus on whether relational and relational-like systems actually meet business needs; IBM's Structured Query Language/Data System (SQL/DS); tools for database design and programming; and Secondary Access Methods and the problem of secondary index selection. A number of quantitative models for assessing the performance of physical databases are also described. This text concludes by assessing some of the most conspicuous trends in relational database research and development. This monograph will be of interest to database designers.

  • Symmetry

    Unifying Human Understanding
    • 1st Edition
    • István Hargittai
    • English
    International Series in Modern Applied Mathematics and Computer Science, Volume 10: Symmetry: Unifying Human Understanding provides a tremendous scope of “symmetry”, covering subjects from fractals through court dances to crystallography and literature. This book discusses the limits of perfection, symmetry as an aesthetic factor, extension of the Neumann-Minnigerode-... principle, and symmetry of point imperfections in solids. The symmetry rules for chemical reactions, matching and symmetry of graphs, mosaic patterns of H. J. Woods, and bilateral symmetry in insects are also elaborated. This text likewise covers the crystallographic patterns, Milton's mathematical symbol of theodicy, symmetries of soap films, and gapon formalism. This volume is a good source for researchers and specialists concerned with symmetry.

  • Statistical Data Analysis and Inference

    • 1st Edition
    • Y. Dodge
    • English
    A wide range of topics and perspectives in the field of statistics are brought together in this volume. The contributions originate from invited papers presented at an international conference which was held in honour of C. Radhakrishna Rao, one of the most eminent statisticians of our time and a distinguished scientist.

  • Tables of Racah Coefficients

    Mathematical Tables Series
    • 1st Edition
    • A. F. Nikiforov + 2 more
    • English
    Tables of Racah Coefficients presents a compilation of tables of Racah coefficients. Racah coefficients appear and are widely used in a number of problems in quantum mechanics; in the theory of spectra of complex atoms and nuclei; in the theory of angular distributions of nuclear reactions; in the theory of angular correlations of decay particles; and many other problems where the sums of products of three or more Clebsch-Gordan coefficients occur. In compiling tables of Racah coefficients certain conditions can be imposed on the indices, which follow from the symmetry relations. Only those coefficients are given which satisfy these conditions. The present tables consist of three parts. The first part gives Racah coefficients in which the first four indices are half-integers, and the other two integers. The second gives Racah coefficients with integer indices. The third gives Racah coefficients in which the three indices, a, c, e are half-integers, and the other three are integers.

  • The European Computer Users Handbook 1968/69

    Pergamon Computer Data Series
    • 6th Edition
    • Sam Stuart
    • English
    The European Computer Users Handbook 1968/69, Sixth Edition is a handbook of computers and computer peripherals which could be used in Europe. Details of computers and peripheral devices, including analog computers, calculators, and data transmission equipment, are presented. This book is organized into 10 sections and begins by giving information on digital computers that could be used in Europe based on recommendations by Computer Consultants Limited. Comments on the particular computer manufacturer concerned are included and the particular item of equipment is described. Digital computers, electronic calculators, analog computers, peripheral equipment, and data transmission equipment available in Europe are then listed. The names and addresses of computer manufacturers and selling organizations concerned with computers used in Europe are also provided. Two tables are given: one for computer installations by number, import value, and home built value in sixteen European countries, and another for computer installations in the United States. This monograph will be a valuable resource for both computer users and manufacturers.

  • Artificial Intelligence

    State of the Art Report 15:3
    • 1st Edition
    • J R Ennals
    • English
    Artificial Intelligence: State of the Art Report is a two-part report consisting of the invited papers and the analysis. The editor first gives an introduction to the invited papers before presenting each paper and the analysis, and then concludes with the list of references related to the study. The invited papers explore the various aspects of artificial intelligence. The analysis part assesses the major advances in artificial intelligence and provides a balanced analysis of the state of the art in this field. The Bibliography compiles the most important published material on the subject of artificial intelligence and includes all the materials cited in the invited paper and analysis references.

  • Further Developments in Operational Research

    Frontiers of Operational Research and Applied Systems Analysis
    • 1st Edition
    • G. K. Rand + 1 more
    • English
    Further Developments in Operational Research is a collection of articles on fields such as behavioral science, corporate planning, and artificial intelligence. Subjects in forecasting, risk analysis, and network analysis are likewise reviewed. The book discusses statistical forecasting in detail. Graphs, networks, and uses of such networks are provided. A chapter of the book covers the creation and implementation of expert systems. Risk engineering is an integrated approach to all aspects of risk analysis. It identifies and quantifies uncertainty and advances methods in order to modify associated risks through effective and efficient decisions. A review of the models used in forecasting is then provided. This section includes concepts such as hypergraphs, network flows, and tools of graph theory. The historical background and developments in artificial intelligence are also featured in the book. Statistical forecasting is presented completely. The book can serve as a useful tool for programmers, forecasters, statisticians, psychologists, students, and researchers.

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