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The book contains the only available complete presentation of the modecoupling theory (MCT) of complex dynamics of glassforming liquids, dense polymer melts, and colloidal suspensions. It describes in a selfcontained manner the derivation of the MCT equations of motion and explains that the latter define a model for a statistical description of nonlinear dynamics.It is shown that the equations of motion exhibit bifurcation singularities, which imply the evolution of dynamical scenarios different from those studied in other nonlinear dynamics theories. The essence of the scenarios is explained by the asymptotic solution theory of the equations of motion. The leadingorder results deal with scaling laws and the range of validity of these general laws is obtained by the derivation of the leadingcorrection results.Comparisons of numerical solutions of the MCT equations of motion with the analytic results of the asymptotic analysis demonstrate various facets of the MCT dynamics. Some comparisons of MCT results with data are used to show the relevance of MCT for the discussion of amorphous matter dynamics.
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