The material presented is intended to serve as a basis for a critical study of the fundamentals of elasticity and several branches of solid mechanics, including advanced mechanics of materials, theories of plates and shells, composite materials, plasticity theory, finite element, and other numerical methods as well as nanomechanics and biomechanics. In the 21st century, the transcendent and translational technologies include nanotechnology, microelectronics, information technology, and biotechnology as well as the enabling and supporting mechanical and civil infrastructure systems and smart materials. These technologies are the primary drivers of the century and the new economy in a modern society