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This concise and comprehensive overview of nonlinear processes addresses all those interested in natural sciences and mathematics. It also contains a beautifully illustrated color insert easily accessible to the interested layperson. Thus it is suitable for leisure reading and also for an introductory (under)graduate course in nonlinear physics. Both well-established and more recent new results are discussed, outlining the relation between classical aspects of nonlinear physics and important current problems like the birth of chaos in simple deterministic systems and the emergence of order out of disorder and turbulence. Keywords: Chaos, fractals, strange attractors, turbulence.

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