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This lecture covers the basics of the theory of elasticity, focusing on deformation, stress, and the deformation tensor. It explains how solid states resist external forces, leading to deformation and the concept of elasticity. The lecture also delves into Hooke's law, Young's modulus, and stress-strain relationships, providing insights into the behavior of elastic materials. Additionally, it discusses the stress tensor, symmetric deformation tensor, and the relationship between stress and deformation in isotropic solids.