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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.

    • Optimal Adaptive Control Systems by David Sworder

      • 1st Edition
      • Volume 25
      • January 1, 1966
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 5 3 1 5
      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.
    • Control Systems Functions and Programming Approaches by Dimitris N Chorafas

      • 1st Edition
      • Volume 27A
      • January 1, 1966
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 5 3 3 9
      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.
    • Control Systems Functions and Programming Approaches: Applications by Dimitris N Chorafas

      • 1st Edition
      • Volume 27B
      • January 1, 1966
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 5 3 4 6
      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.
    • Random Processes in Nonlinear Control Systems by A A Pervozvanskii

      • 1st Edition
      • Volume 15
      • January 1, 1965
      • A. A. Pervozvanskii
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 5 2 1 6
      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.
    • Theory of Categories

      • 1st Edition
      • Volume 17
      • January 1, 1965
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 3 2 9 9
    • The Fundamentals of Mathematical Analysis

      • 1st Edition
      • Volume 73
      • January 1, 1965
      • G. M. Fikhtengol'ts
      • I. N. Sneddon + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 1 3 1 5 6
      • eBook
        9 7 8 1 4 8 3 2 2 6 5 8 3
      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.
    • Point Set Topology

      • 1st Edition
      • Volume 16
      • January 1, 1964
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 3 2 8 2
    • Local analytic geometry

      • 1st Edition
      • Volume 14
      • January 1, 1964
      • English
      • Hardback
        9 7 8 0 1 2 3 7 4 5 6 4 4
      • eBook
        9 7 8 0 0 8 0 8 7 3 2 6 8
    • Methods of Matrix Algebra

      • 1st Edition
      • Volume 16
      • January 1, 1964
      • Pease
      • English
      • Paperback
        9 7 8 0 1 2 4 1 1 0 8 3 0
      • eBook
        9 7 8 0 0 8 0 9 5 5 2 2 3