Advanced Mechanics of Materials and Applied Elasticity provides a mathematically elegant formulation of both differential equation and integral formulations of boundary value problems on the basis of isotropic linear theory of elasticity and theories of mechanics of materials. The book develops a methodology for the analysis of stress, deformation, and stability of various structural elements using both the linear theory of elasticity and the theory of mechanics of materials and comparing the results obtained from each. The author's well-balanced and choice of topics, clear and direct presentation, and emphasis on the integration of sophisticated mathematics with practical examples provide an unparalleled guide and reference to navigating structural mechanics and mechanics of materials courses as well as graduate elasticity courses.