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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
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Instabilities, Chaos And Turbulence (2nd Edition) (Hardcover, 2nd Revised edition)
Loot Price: R3,127
Discovery Miles 31 270
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Instabilities, Chaos And Turbulence (2nd Edition) (Hardcover, 2nd Revised edition)
Series: Icp Fluid Mechanics, 1
Expected to ship within 12 - 17 working days
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This book (2nd edition) is a self-contained introduction to a wide
body of knowledge on nonlinear dynamics and chaos. Manneville
emphasises the understanding of basic concepts and the nontrivial
character of nonlinear response, contrasting it with the
intuitively simple linear response. He explains the theoretical
framework using pedagogical examples from fluid dynamics, though
prior knowledge of this field is not required. Heuristic arguments
and worked examples replace most esoteric technicalities. Only
basic understanding of mathematics and physics is required, at the
level of what is currently known after one or two years of
undergraduate training: elementary calculus, basic notions of
linear algebra and ordinary differential calculus, and a few
fundamental physical equations (specific complements are provided
when necessary). Methods presented are of fully general use, which
opens up ample windows on topics of contemporary interest. These
include complex dynamical processes such as patterning, chaos
control, mixing, and even the Earth's climate. Numerical
simulations are proposed as a means to obtain deeper understanding
of the intricacies induced by nonlinearities in our everyday
environment, with hints on adapted modelling strategies and their
implementation.
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