I am interested in some reference text, for example, textbook that would describe going from old times (say, Greece) till modern times: 1) definitions of units and measurements 2) describing experiments to motivate models like Newton's first law, Faraday's law 3) describing predictions made by models and what things it predicts right and which experiments show that, and what things it predicts wrong and which experiments show that.
Of course, it might be possible that such text does not exist, but I would be happy to see some kind of subset of the things I described.
I found many great historical books but most of them skip on the mathematical part by which I mean - let us take this specific idea (let's say equation), and find a prediction, and see that it works/fails in these experiments. Instead, usually, either the equation is just stated, or some results are just being told without specifically saying how that corresponds/agrees/disagrees with specific models of that time.
Of course, it might be possible that such text does not exist, but I would be happy to see some kind of subset of the things I described.