Introduction -- Micromechanical Models for Auxetic Materials -- Elasticity of Auxetic Solids -- Stress Concentration, Fracture and Damage in Auxetic Materials -- Contact and Indentation Mechanics of Auxetic Materials -- Auxetic Beams -- Auxetic Solids in Polar and Spherical Coordinates -- Thin Auxetic Plates and Shells -- Thermal Stresses in Auxetic Solids -- Elastic Stability of Auxetic Solids -- Vibration of Auxetic Solids -- Wave Propagation in Auxetic Solids -- Wave Transmission and Reflection involving Auxetic Solids -- Longitudinal Waves in Auxetic Solids -- Shear Deformation in Auxetic Solids -- Simple Semi-auxetic Solids -- Semi-auxetic Laminates and Auxetic Composites.