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The book presents a comprehensive study on the 2D and 3D boundary element analysis of thermomagnetoelectroelastic anisotropic solids. Several novelties are introduced, which allow derivation of the efficient boundary element approach. The main of them is the usage of new boundary integral equations of 2D and 3D anisotropic thermomagnetoelectroelasticity. These integral equations do not contain temperature volume integral terms, which is advantageous comparing to existing boundary element formulations for anisotropic thermoelastic solids. Thermal effects are accounted for through the boundary integrals containing temperature and heat flux functions (or discontinuity functions).