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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 by W F Ames

      • 1st Edition
      • Volume 18B
      • January 28, 1972
      • W. F. Ames
      • English
      • eBook
        9 7 8 0 0 8 0 9 6 0 0 4 3
      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.
    • Causality and Dispersion Relations

      • 1st Edition
      • Volume 95
      • December 15, 1972
      • Nussenzveig
      • English
      • Paperback
        9 7 8 0 1 2 4 1 1 0 7 9 3
      • eBook
        9 7 8 0 0 8 0 9 5 6 0 4 6
    • Ring Theory

      • 1st Edition
      • Volume 44
      • April 18, 1972
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 3 5 7 2
    • Riccati Differential Equations

      • 1st Edition
      • Volume 86
      • August 22, 1972
      • Reid
      • English
      • Paperback
        9 7 8 0 1 2 4 1 1 0 8 6 1
      • eBook
        9 7 8 0 0 8 0 9 5 5 9 5 7
    • A Mathematical Introduction to Logic

      • 1st Edition
      • June 16, 1972
      • Herbert B. Enderton
      • English
      • Hardback
        9 7 8 0 1 2 2 3 8 4 5 0 9
      • eBook
        9 7 8 0 0 8 0 5 7 0 3 8 9
      This book gives a mathematical treatment of the basic ideas and results of logic. It is intended to serve as a textbook for an introductory mathematics course in logic at the junior-senior level. The objectives are to present the important concepts and theorems of logic and to explain their significance and their relationship to the reader's other mathematical work.
    • Integral Matrices

      • 1st Edition
      • Volume 45
      • July 21, 1972
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 3 5 8 9
    • Methods of Intermediate Problems for Eigenvalues: Theory and Ramifications

      • 1st Edition
      • Volume 89
      • January 28, 1972
      • A. Weinstein + 1 more
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 5 9 8 8
      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.