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Das Buch gibt Anwendern wertvolle Hinweise, um die Daten eines Versuchsplanes zu interpretieren und weiter zu verwenden mit dem Ziel, die Aussage der Untersuchungen besser zu untermauern. Der Autor stellt Lösungsverfahren zur statistischen Modellierung von Prozessen vor, die er in seiner langjährigen Berufspraxis selbst erprobt hat. Es werden mathematische Zusammenhänge dargestellt, die oft nicht beachtet werden und deshalb zu Fehlinterpretationen bei der praktischen Anwendung führen können. Um dem vorzubeugen, werden die Auswirkungen einer nicht exakten Einhaltung der mathematisch vorgegeben Vorgehensweise sowie einer fehlerhaften Modellwahl auf die praktische Interpretation ausführlich dargestellt.

Econometric models. --- Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Econometrics --- Mathematical models

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Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics

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This is the second volume of Nonlinear Equations with Small Parameter containing new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. They allow one to match asymptotics of various properties with each other in transition regions and to get unified formulas for connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena. These are beginnings of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering constructions and quantum systems. Apart from independent interest the approximate solutions serve as a foolproof basis for testing numerical algorithms. The second volume will be related to partial differential equations.

Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics

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partir d exemples simples et communs puis?'s dans diff rentes disciplines (m canique, hydrodynamique, chimie, dynamique de populations, etc), cet ouvrage introduit le langage et les notions propres aux sciences non lin aires permettant d analyser, de comprendre et de d crire tous ces ph nom nes en adoptant progressivement une approche formelle vis e universelle.

Nonlinear theories. --- Morphogenesis. --- Morphogeny --- Organogenesis --- Embryology --- Morphology --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics

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This book addresses a special topic in the field of nonlinear dynamical systems, develops a new research direction of surface chaos and surface bifurcation. It provides a clear watershed for original nonlinear chaos and bifurcation research. The novel content of this book makes nonlinear system research more systematical and personalized. This book introduces the chaos and bifurcation behavior of surface dynamics in the sense of Li Yorke, the basic properties, Lyapunov exponent and Feigenbaum constant of nonlinear behavior of surface, and obtained the wave behavior of chaotic process in surface motion, the control of surface chaos and bifurcation, and the wide application of surface chaos in engineering technology.

Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics