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Dynamical Systems and Evolution Equations - Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 1980)
Loot Price: R2,856
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Dynamical Systems and Evolution Equations - Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 1980)
Series: Mathematical Concepts and Methods in Science and Engineering, 20
Expected to ship within 10 - 15 working days
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This book grew out of a nine-month course first given during
1976-77 in the Division of Engineering Mechanics, University of
Texas (Austin), and repeated during 1977-78 in the Department of
Engineering Sciences and Applied Mathematics, Northwestern
University. Most of the students were in their second year of
graduate study, and all were familiar with Fourier series, Lebesgue
integration, Hilbert space, and ordinary differential equa tions in
finite-dimensional space. This book is primarily an exposition of
certain methods of topological dynamics that have been found to be
very useful in the analysis of physical systems but appear to be
well known only to specialists. The purpose of the book is twofold:
to present the material in such a way that the
applications-oriented reader will be encouraged to apply these
methods in the study of those physical systems of personal
interest, and to make the coverage sufficient to render the current
research literature intelligible, preparing the more mathematically
inclined reader for research in this particular area of applied
mathematics. We present only that portion of the theory which seems
most useful in applications to physical systems. Adopting the view
that the world is deterministic, we consider our basic problem to
be predicting the future for a given physical system. This
prediction is to be based on a known equation of evolution,
describing the forward-time behavior of the system, but it is to be
made without explicitly solving the equation."
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