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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.

  • Large Infinitary Languages

    • 1st Edition
    • Volume 83
    • Lev D. Beklemishev
    • English

  • SET THEORY

    • 1st Edition
    • Volume 86
    • Lev D. Beklemishev
    • English

  • Non-Linear Wave Propagation With Applications to Physics and Magnetohydrodynamics by A Jeffrey and T Taniuti

    • 1st Edition
    • Volume 9
    • 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.

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 18
    • Lev D. Beklemishev
    • English

  • Sets and Classes on The Work by Paul Bernays

    • 1st Edition
    • Volume 84
    • Lev D. Beklemishev
    • English

  • Recent Topics in Nonlinear PDE

    • 1st Edition
    • Volume 98
    • M. Mimura + 1 more
    • English
    This volume contains papers covering the theory of nonlinear PDEs and the related topics which have been recently developed in Japan.

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 33
    • Lev D. Beklemishev
    • English

  • Foundational Studies Selected Works

    • 1st Edition
    • Volume 93A
    • Lev D. Beklemishev
    • English

  • Adaptive Processes in Economic Systems by Roy E Murphy

    • 1st Edition
    • Volume 20
    • Roy E. Murphy
    • 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.

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 34
    • Lev D. Beklemishev
    • English
    The book consists of a selection of the forms of the axiom of choice which appeared in the literature together with additional forms which were obtained in the process of writing the book. Forms which were either used often in practice, unusual, relatively unknown, or particularly weak or strong were chosen for inclusion. The book assumes a knowledge of logic and elementary set theory (von Neumann-Bemays-Godel set theory), but does include a list of definitions of set theoretical symbols and terms in the section entitled "Preliminary Definitions and Theorems".

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