This comprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. Expressed in a common, efficient notation, the clear and formally precise steps for solving each problem foster quick comprehension.
Vectors, Tensors and the Basic Equations of Fluid Mechanics by Rutherford Aris Introductory text for engineers, physicists, and applied mathematicians applies the mathematics of Cartesian and general tensors to physical field theories. Advanced undergraduate-graduate level. Exercises. Appendixes.
The Continuum: A Critical Examination of the Foundation of Analysis by Hermann Weyl Concise classic by great mathematician and physicist deals with logic and mathematics of set and function, concept of number and the continuum. Bibliography. Originally published 1918.
Continuum Mechanics by A. J. M. Spencer Undergraduate text offers an analysis of deformation and stress, covers laws of conservation of mass, momentum, and energy, and surveys the formulation of mechanical constitutive equations. 1992 edition.
Theoretical Mechanics of Particles and Continua by Alexander L. Fetter, John Dirk Walecka Lucid, self-contained account provides natural framework for the introduction of advanced mathematical concepts in physics. Topics include Lagrangian dynamics, Hamiltonian dynamics, fluids and sound and surface waves, more. 1980 edition.
