Theory of Elasticity is a rigorous academic text that provides an in-depth exploration of the mathematical theory governing the elastic behavior of solid bodies under external loads. M. Filonenko-Borodich presents the fundamental equations of the theory of elasticity, including the analysis of stress and strain, the generalized Hooke's law, and the formulation of boundary value problems. The bo…
This classic treatise provides a rigorous mathematical foundation for the theory of elasticity, focusing on the deformation of solid bodies under various physical conditions. The authors utilize tensor analysis as a primary tool to develop both finite and classical infinitesimal theories of elasticity. Key topics include the derivation of fundamental equations of equilibrium, complex variable m…
he Mathematical Theory of Plasticity is a seminal work that remains a cornerstone of modern plasticity theory, providing the first systematic account of the mathematical foundations of the subject. Written by Rodney Hill, the text offers an exhaustive treatment of the mechanical behavior of metals and other materials as they deform permanently under applied loads. Key topics include the theory …
This comprehensive textbook is designed to provide students in the physical sciences with a solid foundation in the mathematical techniques required for advanced undergraduate and graduate coursework. It covers a wide range of essential topics, including infinite series, complex variables, linear algebra, Fourier series, ordinary and partial differential equations, and special functions. The bo…