General Background.- Open scheme.- Basic Models: Geometry and Universal Laws.- Bodies and Their Placements in ?.- Discrete Model.- One-Dimensional Model.- Pipe Flow.- Three-Dimensional Model.- Complete Models by Adding Particular Laws.- Particular Laws.- Small Displacement Models.- Pipe Flow Models.- Models of Fluid Mechanics.- Kinematic Constraints, Beams and Rigid Bodies.

This textbook on models and modeling in mechanics introduces a new unifying approach to applied mechanics: through the concept of the open scheme, a step-by-step approach to modeling evolves. The unifying approach enables a very large scope on relatively few pages: the book treats theories of mass points and rigid bodies, continuum models of solids and fluids, as well as traditional engineering mechanics of beams, cables, pipe flow and wave propagation.