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Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
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Order and Chaos in Nonlinear Physical Systems (Hardcover, 1988 ed.)
Loot Price: R5,712
Discovery Miles 57 120
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Order and Chaos in Nonlinear Physical Systems (Hardcover, 1988 ed.)
Series: Physics of Solids and Liquids
Expected to ship within 10 - 15 working days
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Total price: R5,732
Discovery Miles: 57 320
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This volume is concerned with the theoretical description of
patterns and instabilities and their relevance to physics,
chemistry, and biology. More specifically, the theme of the work is
the theory of nonlinear physical systems with emphasis on the
mechanisms leading to the appearance of regular patterns of ordered
behavior and chaotic patterns of stochastic behavior. The aim is to
present basic concepts and current problems from a variety of
points of view. In spite of the emphasis on concepts, some effort
has been made to bring together experimental observations and
theoretical mechanisms to provide a basic understanding of the
aspects of the behavior of nonlinear systems which have a measure
of generality. Chaos theory has become a real challenge to
physicists with very different interests and also in many other
disciplines, of which astronomy, chemistry, medicine, meteorology,
economics, and social theory are already embraced at the time of
writing. The study of chaos-related phenomena has a truly
interdisciplinary charac ter and makes use of important concepts
and methods from other disciplines. As one important example, for
the description of chaotic structures the branch of mathematics
called fractal geometry (associated particularly with the name of
Mandelbrot) has proved invaluable. For the discussion of the
richness of ordered structures which appear, one relies on the
theory of pattern recognition. It is relevant to mention that, to
date, computer studies have greatly aided the analysis of
theoretical models describing chaos."
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