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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 Partial Differential Equations in Engineering

    • 1st Edition
    • Volume 18
    • W. F. Ames
    • English

  • Theory of Categories

    • 1st Edition
    • Volume 17
    • English

  • Functions of a Complex Variable and Some of Their Applications

    • 1st Edition
    • Volume 51
    • B. A. Fuchs + 1 more
    • I. N. Sneddon + 2 more
    • English
    Functions of a Complex Variable and Some of Their Applications, Volume I focuses on the fundamental ideas of the theory of functions of a complex variable. This book consists of eight chapters. Chapter I presents the fundamentals of complex analysis, while Chapter II discusses the concept of conformal transformations. The elementary functions are introduced in Chapter III. In Chapter IV, the complex potential for a plane vector field and application of the simplest methods of function theory are elaborated. Chapter V deals with the basic integral theorems, followed by a description of the expansions in series in Chapter VI. Chapters VII and VIII are devoted to the analytical and geometric applications of the theory. This volume is intended for undergraduate and postgraduate students of higher technical institutes and engineers aiming to increase their knowledge of theory.

  • Properties and Operations

    • 1st Edition
    • I. M. Gel'fand + 1 more
    • English

  • Dynamic Programming in Chemical Engineering and Process Control by Sanford M Roberts

    • 1st Edition
    • Volume 12
    • Sanford M. Roberts
    • English
    In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.

  • Point Set Topology

    • 1st Edition
    • Volume 16
    • English

  • Local analytic geometry

    • 1st Edition
    • Volume 14
    • English

  • Methods of Matrix Algebra

    • 1st Edition
    • Volume 16
    • Pease
    • English

  • Optimum Design of Digital Control Systemsby Julius T Tou

    • 1st Edition
    • Volume 10
    • English
    In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.

  • Differential-Difference Equations

    • 1st Edition
    • Volume 6
    • Bellman
    • English

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