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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.

  • 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.
  • The Fifth Generation Computer Project

    State of the Art Report 11:1
    • 1st Edition
    • Scarrott
    • English
    The Fifth Generation Computer Project is a two-part book consisting of the invited papers and the analysis. The invited papers examine various aspects of The Fifth Generation Computer Project. The analysis part assesses the major advances of the Fifth Generation Computer Project and provides a balanced analysis of the state of the art in The Fifth Generation. This part provides a balanced and comprehensive view of the development in Fifth Generation Computer technology. The Bibliography compiles the most important published material on the subject of The Fifth Generation.
  • Developments in Operational Research

    Frontiers of Operational Research and Applied Systems Analysis
    • 1st Edition
    • R. W. Eglese + 1 more
    • English
    Developments in Operational Research reviews developments in operational research (OR) and includes numerical examples to illustrate techniques and applications. Topics covered include some of the most widely used OR ""techniques"", such as mathematical programming and simulation, together with the contribution of OR methodology to specific application areas, such as capital investment appraisal and purchasing. This book is comprised of seven chapters and begins with an introduction to the state of mathematical programming systems, along with the relevance of other optimization algorithms to OR and techniques for handling certain types of nonlinearity. The discussion then turns to network optimization techniques and their applications for the New Zealand Justice Department as well as for the wheat and dairy industries. The following chapters focus on computer simulation as applied in OR, with emphasis on various approaches to discrete event modeling; application of OR to industrial maintenance and replacement; financial appraisal methods, including discounting methods; and the use of Bayesian decision analysis to decision making. This text concludes by looking at the purchasing function and the limitations of classical stock control theory in practice. Models and procedures are developed to cope with real situations. Materials requirements planning, quantity discounts, price inflation, commodity purchasing decisions, and blending problems are considered. This monograph will be of interest to planners, decision makers, and others involved in operations research.
  • 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.
  • Tables of the Velocity of Sound in Sea Water

    Mathematical Tables Series
    • 1st Edition
    • L. S. Bark + 2 more
    • English
    Tables of the Velocity of Sound in Sea Water contains tables of the velocity of sound in sea water computed on a "Strela-3" high-speed electronic computer and a T-5 tabulator at the Computational Center of the Academy of Sciences. Knowledge of the precise velocity of sound in sea water is of great importance when investigating sound propagations in the ocean and when solving practical problems involving the use of hydro-acoustic devices. This book demonstrates the computations made for the velocity of sound in sea water, which can be found in two ways: by direct measurement with the aid of suitable equipment, and by calculation from formula expressing the dependence of the velocity on the temperature and salinity of the water. This book will be of great value to researchers and students.
  • Successful Business Computing

    • 1st Edition
    • M. Tampoe
    • English
    Successful Business Computing offers a practical guide to the selection and use of a computer system. It helps identify those factors that need to be assessed in buying computer equipment and the associated computing instructions, called computer programs or software. It is a management manual and not a technical treatise on computing theory, or advanced computing. The book is organized into three main parts. Part 1 helps the reader to recognize the symptoms and assess needs. It identifies some of the reasons which prompt the purchase of computer systems and the areas of the organization which can benefit. It explains a method of pinpointing the specific application areas. It emphasizes the need for a computing policy within the organization; specifies some significant policy issues; and identifies sources of external help. Part 2 guides the reader through the buying cycle, identifying the major activities and providing guidelines for the evaluation of the systems proposed. Part 3 explains the constituents of a computer system and provides a glossary of terms. This book is intended for the businessman or executive looking for guidelines on how best to handle the task of acquiring a computer system. It can also provide students with an introduction to the application of computers and computer systems in business and commerce.
  • 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 Lommel's Functions of Two Pure Imaginary Variables

    Mathematical Tables Series
    • 1st Edition
    • L. S. Bark + 1 more
    • English
    Tables of Lommel's Functions of Two Pure Imaginary Variables provide tables on cylinder functions of two pure imaginary variables. These tables are computed on the "Strela" electronic computer and are checked and prepared in the Analytic Machine Department. The introductory part describes some properties of the Lommel's functions. This part also contains the integral forms and asymptotic expansions. Lommel's functions of two pure imaginary arguments are defined by the Neumann series. This text is of value to researchers and students.
  • Water and Related Land Resource Systems

    IFAC Symposium, Cleveland, Ohio, U.S.A., 28-31 May 1980
    • 1st Edition
    • Y. Haimes + 1 more
    • English
    Water and Related Land Resource Systems covers IFAC Symposium that aims to address resource problem, as well as methodologies and procedures for respective solutions. Consists of 60 chapters, the book is organized in sessions according to the technical program of the conference. The book first tackles multiobjective planning in water and land resources, which is followed by acquisition and analysis of surface water quality data. The next part covers hierarchical water resource planning and management models, while the succeeding part is about environmental and ecological aspects of water and land resources. The fifth session discusses the impact of energy development on water and land resources. Session VI covers modeling and systems identification problems in water resources, and Session VII covers acquisition and analysis of hydrologic data. The eighth session tackles ground water and its conjunctive use with surface water, while the next session talks about sedimentation and land management. The tenth session is about multiobjective planning in water and land resources. Predicting and forecasting models in water resources is the topic of Session XI, while Session XII discusses evaluation and calibration problem in water resource modeling. The closing chapter covers water and land issues in urban areas. Professionals whose work revolves around recourse management and researchers whose work is in line with natural resource will find great information in this book that will be relevant in their trade.
  • Tables of the Principal Unitary Representations of Fedorov Groups

    The Mathematical Tables Series
    • 1st Edition
    • D. K. Faddeyev
    • English
    Tables of the Principal Unitary Representations of Fedorov Groups contains tables of all the principal representations of Fedorov groups from which all irreducible unitary representations can be obtained with the help of some standard operations. The work originated at a seminar on mathematical crystallography held in 1952-1953 at the Faculty of Mathematics and Mechanics of the Leningrad State University. The book is divided into two parts. The first part discusses the relation between the theory of representations and the generalized Fedorov groups in Shubnikov's sense. It shows that all unidimensional representations of Fedorov groups are basic, and hence are given in the tables. In particular, all representations defining generalized Fedorov groups are given in the tables. However, it should be noted that the same generalized Fedorov group may correspond to different representations, if the latter cross each other in certain automorphisms of the Fedorov group to be represented. The second part contains the tables of the principal unitary representations of Fedorov groups.