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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.

  • Singular and Degenerate Cauchy Problems

    • 1st Edition
    • Volume 127
    • 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.
  • Bornologies and Functional Analysis

    Introductory course on the theory of duality topology-bornology and its use in functional analysis
    • 1st Edition
    • Volume 26
    • English
  • Functional Analysis: Surveys and Recent Results

    Proceedings of the Conference on Functional Analysis, Paderborn, Germany, November 17-21, 1976
    • 1st Edition
    • Volume 27
    • English
  • The Theory of Gambling and Statistical Logic

    • 1st Edition
    • Richard A. Epstein
    • English
  • A Course in Mathematical Logic

    • 1st Edition
    • J.L. Bell + 1 more
    • English
    A comprehensive one-year graduate (or advanced undergraduate) course in mathematical logic and foundations of mathematics. No previous knowledge of logic is required; the book is suitable for self-study. Many exercises (with hints) are included.
  • Ergodic Theory and Topological Dynamics

    • 1st Edition
    • Volume 70
    • English
  • Quantum Detection and Estimation Theory

    • 1st Edition
    • Volume 123
    • Helstrom
    • English