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In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects.

Mathematics. --- Global analysis (Mathematics). --- Functional analysis. --- Functions of complex variables. --- Differential equations, partial. --- Analysis. --- Functions of a Complex Variable. --- Functional Analysis. --- Partial Differential Equations. --- Quasiconformal mappings --- Sobolev spaces --- Engineering & Applied Sciences --- Applied Mathematics --- Mappings, Quasiconformal --- Partial differential equations --- Complex variables --- Functional calculus --- Analysis, Global (Mathematics) --- Math --- Spaces, Sobolev --- Mathematical analysis. --- Analysis (Mathematics). --- Partial differential equations. --- Differential equations, Partial --- Calculus of variations --- Functional equations --- Integral equations --- Elliptic functions --- Functions of real variables --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- 517.1 Mathematical analysis --- Mathematical analysis