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.

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.