[Edited to Add: I was going to make this a top level post, should I, or would that be wrong? Anyway I am going to sort the books now] Set Theory/Logic [ordered by approachability] Halmos's Naive Set Theory Moschovakis's Notes on Set Theory [Excellent first book] Devlin's The Joy of Sets Poizat's Model Theory [Excellent introduction to the field] Marker's Model Theory Jech's Set Theory [The field's current bible. Not recommended as a first textbook.] Kanamori's The Higher Infinite Algebra/Algebraic Geometry/Category Theory Hungerford's Algebra Lang's Algebra Mac Lane's Categories for the Working Mathematician Harris's Algebraic Geometry [Usually seen as a lead in to Hartshorne] Hartshorne's Algebraic Geometry Analysis/Complex Analysis Lang's Complex Analysis Conway's Functions of Complex Variables I and II Lang's Real and Functional Analysis A word on Serge Lang As many of you may know, Lang has a reputation of 'you either like it or you don't. Download Short Timers Calendar Free. Hoyle Board Games For Windows Pc. ' For the uninitiated, this is due to a sometimes sparse explanation.
However, his texts serve as standard curriculum in many major graduate schools. However, he has a ton of books available via Springer, including his fantastic undergraduate books. Personally, I would fill this list with Serge Lang, so I'll just put this note here. You're missing some good ones!