Wilhelm Schlag turned his notes from a first-year graduate course into a book of sorts. It covers a lot of the topics you listed and it has a bunch of good problems. A manuscript appears on his website here: http://www.math.uchicago.edu/~schlag/bookweb.pdf; the published version of the book can be found here: http://www.ams.org/bookstore-getitem/item=gsm-154
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Updated with link to the published version of the notes linked
John Miller
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