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Electrodynamics of Continua II: Fluids and Complex Media: Volume II (Electrodynamics of Continua: Fluids and Complex Media) - Hardcover

 
9780387970059: Electrodynamics of Continua II: Fluids and Complex Media: Volume II (Electrodynamics of Continua: Fluids and Complex Media)

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This is the second volume of a two-volume set presenting a unified approach to the electrodynamics of continua, based on the principles of contemporary continuum of physics. The first volume was devoted mainly to the development of the theory and applications to deformable solid media. This volume extends the developments of the first volume to richer and newer grounds. It contains discussions on fluid media, magnetohydrodynamics, eletrohydrodynamics and media with more complicated structures. With the discussion, in the last two chapters, of memory-dependent materials and non-local E-M theory, the authors account for the nonlocal effects arising from motions and fields of material points at past times and at spatially distant points. This discussion is included here to stimulate further research in these important fields, which are presently in development stages. The second volume is self-contained and can be studied without the help of volume I. A section summarizing the constitutive equations and the underlying physical ideas, which were presented in more detail in the first volume, is included. This volume may be used as a basis for several graduate courses in engineering schools, applied mathematics and physics departments. It also contains fresh ideas and will stimulate further research in the directions the authors outline.

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Neural networks have had considerable success in a variety of disciplines including engineering, control, and financial modelling. However a major weakness is the lack of established procedures for testing mis-specified models and the statistical significance of the various parameters which have been estimated. This is particularly important in the majority of financial applications where the data generating processes are dominantly stochastic and only partially deterministic. Based on the latest, most significant developments in estimation theory, model selection and the theory of mis-specified models, this volume develops neural networks into an advanced financial econometrics tool for non-parametric modelling. It provides the theoretical framework required, and displays the efficient use of neural networks for modelling complex financial phenomena. Unlike most other books in this area, this one treats neural networks as statistical devices for non-linear, non-parametric regression analysis.

Synopsis

Building upon the technical foundation provided by Volume I, the authors treat elastic ferromagnets, magneto- and electrohydrodynamics, ferrofluids, memory-dependent electromagnetic continua, the nonlocal electrodynamics of elastic solids, the relativistic electrodynamics of continua. Much of the material reported derives from their own research. A

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  • PublisherSpringer-Verlag New York Inc.
  • Publication date1989
  • ISBN 10 0387970053
  • ISBN 13 9780387970059
  • BindingHardcover
  • LanguageEnglish
  • Number of pages376

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Eringen, A.Cemal; Maugin, Gerard A.
Published by Springer-Verlag, New York, 1990
ISBN 10: 0387970053 ISBN 13: 9780387970059
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