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This book is about the explicit elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and our understanding of model hierarchies. The author presents his new direct method, homogenization in time, based on energy principles and weak convergence techniques. How to use this method is shown in several general cases taken from classical and quantum mechanics. The results are applied to special problems from plasma physics, molecular dynamics and quantum chemistry. Background material from functional analysis is provided and explained to make this book accessible for a general audience of graduate students and researchers.

Differential geometry. Global analysis --- Differentiable dynamical systems --- Homogenization (Differential equations) --- Mathematical Theory --- Geometry --- Mathematics --- Physical Sciences & Mathematics --- Differentieerbare dynamicasystemen --- Homogeneisation (Equations differentielles) --- Homogenizatie (Differentiaalvergelijkingen) --- Systèmes dynamiques différentiables --- Mathematical analysis. --- Analysis (Mathematics). --- Integral equations. --- Dynamics. --- Ergodic theory. --- Statistical physics. --- Dynamical systems. --- Numerical analysis. --- Chemometrics. --- Analysis. --- Integral Equations. --- Dynamical Systems and Ergodic Theory. --- Complex Systems. --- Numerical Analysis. --- Math. Applications in Chemistry. --- Chemistry, Analytic --- Analytical chemistry --- Chemistry --- Mathematical analysis --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Mathematical statistics --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Equations, Integral --- Functional equations --- Functional analysis --- 517.1 Mathematical analysis --- Measurement --- Statistical methods

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Law

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Religious studies --- Sociology of religion

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Engineering sciences. Technology

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Grammar --- Classical Greek language