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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.

    • Quadratic Form Theory and Differential Equations

      • 1st Edition
      • Volume 152
      • January 28, 1981
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 6 6 0 2
      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.
    • Studies on Graphs and Discrete Programming

      • 1st Edition
      • Volume 11
      • January 1, 1981
      • P. Hansen
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 3 5 3
      • Hardback
        9 7 8 0 4 4 4 8 6 2 1 6 7
      • eBook
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    • Spectral Theory of Differential Operators

      • 1st Edition
      • Volume 55
      • January 1, 1981
      • I.W. Knowles + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 3 8 4
      • Hardback
        9 7 8 0 4 4 4 8 6 2 7 7 8
      • eBook
        9 7 8 0 0 8 0 8 7 1 6 6 0
    • I: Functional Analysis

      • 1st Edition
      • Volume 1
      • December 28, 1980
      • Michael Reed + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 3 9 5 4 5 7 2
      • Hardback
        9 7 8 0 1 2 5 8 5 0 5 0 6
      • eBook
        9 7 8 0 0 8 0 5 7 0 4 8 8
      This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations.
    • Fuzzy Sets and Systems

      • 1st Edition
      • October 28, 1980
      • Didier J. Dubois
      • English
      • Hardback
        9 7 8 0 1 2 2 2 2 7 5 0 9
      • Paperback
        9 7 8 0 1 2 3 9 9 4 6 5 3
      • eBook
        9 7 8 0 0 8 0 9 1 7 7 2 6