Robert Geroch's _Mathematical Physics_ (despite the title it's really just a broad, shallow overview of graduate-level math and covers virtually none of the tra

Robert Geroch's _Mathematical Physics_ (despite the title it's really just a broad, shallow overview of graduate-level math and covers virtually none of the traditional "mathematical physics" curriculum). Best math book I have ever read (the emphasis on motivation by example and visual, intuitive presentation of concepts, theorems, and proofs is second to none). This is really just a bunch of lecture notes and reads like one - except Geroch is likely the best teacher you will ever have.