>>8948299Classic text, Vakil's notes are also good, what specific field are you working towards? Arithmetic geometry, number theory, complex geometry?
>>8948320I'd recommend simon's new book series on analysis, its pretty amazing.
>>8948968You mean like mathematical biology, theoretical physics, financial math, data analysis, machine learning, and more?
>>8949022You a langlands guy too anon?
>>8949293Try bott/tu's book, it's a nice blend of algebraic and differential topology, same with tom dieck's book.
>>8949311Download your books online anon, try libgen or something, if you really like em, then bye the book. I mean seriously some math books are over $100, that's ridiculous, hell I wouldn't do it if books were dover cheap.
As for me, i'm reading Reed/Simon (all four volumes) and Simons new five volume analysis text. Already familiar with a good chunk of the material in both but I've heard very good things about Simon's style of writing and want stronger/more diverse analysis background, I've actually almost finished reading the first volume of each series and have thoroughly enjoyed both. Also plan on perusing a few physics/geometry texts, namely Naber's two volume set, Jost, Nakahara, Frankel, Choquet, and fomenko, not really a proper read, just seeing which ones I like. The things I'm most exciting about reading though are Milnor's text, I've finally got all of them and want to read them all> For the most part I set my expectations way to high to complete all of it, but at the very least I want to finish Simon's book by summers end and the rest before the year ends. (just copyed my response on the other summer thread.)
