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This book presents an introduction into the entire science of Continuum Mechanics in three parts. Part I: Continuum Mechanics introduces into the Foundations using tensors in Cartesian coordinate systems, classical theory of elasticity, and fluid mechanics. Part II: Mechanics of Materials has chapters on viscoelasticity, plasticity, principles of constitutive modelling, and thermodynamics. Part III presents Tensor Analysis and fundamental equations of Continuum Mechanics in curvilinear coordinates.