This textbook presents the basic concepts and methods of fluid mechanics, including Lagrangian and Eulerian descriptions, tensors of stresses and strains, continuity, momentum, energy, thermodynamics laws, and similarity theory.  The models and their solutions are presented within a context of the mechanics of multiphase media.  The treatment fully utilizes the computer algebra and software system Mathematica® to both develop concepts and help the reader to master modern methods of solving problems in fluid mechanics.Topics and features:Glossary of over thirty Mathematica® computer programsExtensive, self-contained appendix of Mathematica® functions and their useChapter coverage of mechanics of multiphase heterogeneous mediaDetailed coverage of theory of shock waves in gas dynamicsThorough discussion of aerohydrodynamics of ideal and viscous fluidsand gasesComplete worked examples with detailed solutionsProblem-solving approachFoundations of Fluid Mechanics with Applications is a complete and accessible text or reference for graduates and professionals in mechanics, applied mathematics, physical sciences, materials science, and engineering.  It is an essential resource for the study and use of modern solution methods for problems in fluid mechanics and the underlying mathematical models.  The present, softcover reprint is designed to make this classic textbook available to a wider audience.