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Elsevier

Elsevier Science

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 17
    • Lev D. Beklemishev
    • English

  • Introduction to Global Variational Geometry

    • 1st Edition
    • Volume 16
    • Demeter Krupka
    • English
    This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether’s theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles

  • Constructible Sets with Applications

    • 1st Edition
    • Volume 57
    • Lev D. Beklemishev
    • English

  • Proceedings of the Fourth International Congress for Logic, Methodology and Philosophy of Science, Bucharest, 1971

    • 1st Edition
    • Volume 74
    • Lev D. Beklemishev
    • English

  • Theory of Hierarchical, Multilevel, Systems

    • 1st Edition
    • Volume 68
    • 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.

  • 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.

  • Generalized Recursion Theory

    • 1st Edition
    • Volume 79
    • Lev D. Beklemishev
    • English

  • Studies in Logic and the Foundations of Mathematics

    • 1st Edition
    • Volume 42
    • Lev D. Beklemishev
    • English

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 15
    • Lev D. Beklemishev
    • English

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 11
    • Lev D. Beklemishev
    • English

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