Intro Physics Physics textbook covering relative kinematics/dynamics

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The discussion centers on the challenges faced by a student in a university course focused on non-inertial frames of reference, which has been a longstanding emphasis among professors. The course lacks adequate resources, as the recommended bibliography does not cover this topic, and the provided handouts are poorly organized due to the course's recent transition to English. The student seeks a comprehensive and rigorous textbook that addresses relative kinematics and dynamics, ideally covering additional subjects like electromagnetism, fluids, and thermodynamics, while being calculus-heavy. Recommendations include resources from MIT, such as lecture notes and videos on frames of reference, and a suggestion for a more advanced text, "Special Relativity in General Frames" by E. Gourgoulhon, although it may be too complex for an introductory course.
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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.
 
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Even if we could simply point you to a book that covers non-inertial reference frames, it is difficult to recommend you a text that covers an entire 8 month course without having access to the course curriculum.
 
Do you mean relativistic physics when you say "relative dynamics"? If so then SRT text rarely give a satisfactory treatment of non-inertial frames of reference. An impressive work is

E. Gourgoulhon, Special Relativity in General Frames, Springer 2013

It's of course an overkill for an introductory course ;-).
 
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I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...

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