If you are interested in the old (and new) quantum theory, with all reasoning and formulas derived in detail, I cannot recommend highly enough M. Longair's two

If you are interested in the old (and new) quantum theory, with all reasoning and formulas derived in detail, I cannot recommend highly enough M. Longair's two books: "Theorerical concepts in physics" and "Quantum concepts in physics". They are historically based derivations of the main physics theories from Galileo to the Solvay conference of 1927. If you don't know the history of electrodynamics and thermodynamics already I wouldn't skip the first book (which also contains the work of Plank on black body radiation)