When I read it, a number of things made sense that hadn't previously. One book that I would recommend is Anthony Knapp's Elliptic Curves book which, despite its title also covers the basics of the theory of modular forms (Fuchsian groups too) and explains how to deduce that a Hecke newform of weight 2 with integral coefficients corresponds to an elliptic curve (the "easy" converse of the modularity theorem). However, I have seen some good sources for small clusters of the topics that you list. The number of people who have both deep knowledge of all listed topics and the expository skills to make them accessible may be very small. Number theory as a whole may be too big for such a thing to be possible. 1 also include two proofs of the functional equation for the zeta function, to acquaint the reader with different techniques (in some sense equivalent, but in another sense, suggestive of very different moods).I don't know of any document that gives an accessible overview of all of the topics that you list.
Stylistically, 1 have intermingled the ideal and idelic approaches without prejudice for either. There is much to be said for a direct global approach to number fields. For a more complete treatment of these, cf. The point of view taken here is principally global, and we deal with local fields only incidentally. Old, and seemingly isolated special cases have continuously acquired renewed significance, often after half a century or more. It seems that over the years, everything that has been done has proved useful, theo retically or as examples, for the further development of the theory.
For different points of view, the reader is encouraged to read the collec tion of papers from the Brighton Symposium (edited by Cassels-Frohlich), the Artin-Tate notes on class field theory, Weil's book on Basic Number Theory, Borevich-Shafarevich's Number Theory, and also older books like those of W eber, Hasse, Hecke, and Hilbert's Zahlbericht.
the class field theory on which 1 make further comments at the appropriate place later. The present book gives an exposition of the classical basic algebraic and analytic number theory and supersedes my Algebraic Numbers, including much more material, e.
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