My university's professors have a pathological obsession with non inertial frames of reference which apparently has been going on for decades. As a result we work tons of these problems involving kinematics, dynamics and so on. However, none of the books listed in the bibliography of the course include a chapter on this, and the handouts are as messy as they get (this is the first year this course is taught in English, and the teachers prepared it in a couple of months notice). So, if I want to pass this course without losing my sanity I really need a book which covers relative kinematics and dynamics rigorously, a rigorous chapter at least. This would be my reference for the whole 8 month + course so it needs to be a decent text overall (if it covers the stuff taught after mechanics like electromagnetism, fluids, thermo... it would make it almost perfect). Everything here is also Calculus heavy.