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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
    • January 1, 1965
    • W. F. Ames
    • English

  • The Fundamentals of Mathematical Analysis

    • 1st Edition
    • Volume 73
    • January 1, 1965
    • G. M. Fikhtengol'ts
    • I. N. Sneddon + 2 more
    • English
    The Fundamentals of Mathematical Analysis, Volume 2 focuses on the fundamental concepts of mathematical analysis. This book discusses the theorems on the comparison of series, condition for uniform convergence, and application of the fundamental formula of integral calculus. The differentiation under the integral sign, Lagrange's method of undetermined multipliers, and definition of curvilinear integrals of the second kind are also elaborated. This text likewise covers the transformation of plane domains, case of a piece-wise smooth surface, and problem of calculating the mass of a solid. Other topics include the flow of a vector through a surface, determination of coefficients by the Euler-Fourier method, and generalized equation of closure. This volume is a good reference for students and researchers conducting work on mathematical analysis.

  • Random Processes in Nonlinear Control Systems by A A Pervozvanskii

    • 1st Edition
    • Volume 15
    • January 1, 1965
    • A. A. Pervozvanskii
    • 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.

  • Local analytic geometry

    • 1st Edition
    • Volume 14
    • January 1, 1964
    • English

  • Point Set Topology

    • 1st Edition
    • Volume 16
    • January 1, 1964
    • English

  • Methods of Matrix Algebra

    • 1st Edition
    • Volume 16
    • January 1, 1964
    • Pease
    • English

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

    • 1st Edition
    • Volume 12
    • January 1, 1964
    • 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.

  • Functions of a Complex Variable and Some of Their Applications

    • 1st Edition
    • Volume 51
    • January 1, 1964
    • 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
    • January 1, 1964
    • I. M. Gel'fand + 1 more
    • English

  • Differential-Difference Equations

    • 1st Edition
    • Volume 6
    • January 1, 1963
    • Bellman
    • English

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