I'm looking for a good set of lecture notes or just notes in general for undergrad real analysis. I'm self-studying out of Rudin and I'd like to supplement my learning. The ones I've seen on google are either 1) shit or 2) grad level. Any recs?
>>8196590
just grab tao's book (spells out details) and pugh's book (difficulty of problems unbounded)
>>8196646
This is the correct advice.
Does anyone have links to downloads of these then? Oh idk if this is the case with these but I really wanted something that develops basic topology early on like Rudin does
get stephen abbott's real analysis book
self-studying out of baby rudin isn't going to be very fruitful
>>8196726
Libgen.io
>>8196726
Pugh does that.
I also supplemented my analysis with Munkre's Topology book.
>>8196739
My self studies are going alright so far. This is just prep for a course in the fall anyways
>>8196779
It's probably a .dvju file. You should be able to find apps which can read that format without issue.
>>8196770
Yeah so far means first two chapters. Chapter one I feel quite comfortable with. Chapter two I'm mostly alright with. I'm not entirely comfortable with countability, need to work on that.
>>8196770
I will disagree with this a little bit. Rudin is certainly a very difficult book, but it is very high quality (at least for the first 8 chapters). His proofs are short and he often takes routes through the material which aren't straightforward, but that's the point of reading rudin. It's the sort of book where if you put everything into it, you'll come up with a very strong amount of knowledge, as well a serious development in mathematical ability.
>>8196783
chapter 1 is to lure you in with a soft intro
chapter 2 is where is starts. you can go head first into it and crash and burn, but really, save yourself the trouble and read Tao
>>8196793
I mean sure, if you shoot yourself in the foot and then undergo run training anyway you're going to be a great runner
why not just go the run training without shooting yourself? a learning undergrad doesn't need slick proofs, especially someone who's just studying by himself
>>8196782
You're right, it was. I ended up finding a pdf version of it. Book looks good, I'll definitely give it a read. Just need to reinforce all these ideas as often as I can
>>8196800
you're not the first one who tells me this, then crashes into section 2.2, quits self learning, and is never heard from again
fuck, I tried this myself when I started getting into math. set me back quite a bit.
I know you love the challenge. we love challenges. but people who love challenges hate artificial difficulty, if you know what that is. if something's already hard, there's no point in making it harder for yourself in ways that don't make any sense
I'm not saying it can be done. you can learn analysis more effectively in other ways.
>>8196804
I've already finished reading chapter two. I've done the first 12 exercises. I'll do as many as I can tomorrow. Look don't get me wrong, all the topology stuff was hard to get my head around, and I'm no expert, but given enough time it comes to you.
Is baby rudin is so bad for beginners, how come princeton prescribes it in first year undergrad?
>>8196808
Yeah. The first year course I'm preparing for uses royden, which by all accounts is more hardcore than baby Rudin.
>>8196808
it's a very different thing to read a book by yourself, and for a professor to use it for lecturing
>>8196814
Its a one semester course for the first 8 chapters, the lecturers sketch the proofs and expositate a bit. How is that very different from reading it yourself, reading other sources and asking questions on stackexchange?
>>8196838
OP here. While I agree self studying is feasible, I will argue for devil's advocate that it's a lot easier to learn when you're working with others, bouncing ideas off each other's heads. Just a completely different environment.
>>8196590
http://www-math.mit.edu/~helgason/rudin_supp_notes.pdf
https://math.berkeley.edu/~gbergman/ug.hndts/m104_Rudin_exs.pdf
https://www.math.ucdavis.edu/~emsilvia/math127/math127.html
https://www.amazon.com/Companion-Analysis-Graduate-Studies-Mathematics/dp/0821834479
>>8196838
are you asking that just for the sake of arguing or are you serious?
a classroom setting is very, very good for understanding new material, especially because of the kind of examples and pedagogical approach to fostering intuition that professors usually have
>>8197364
>that professors usually have
LOL
>>8197391
sorry you went to a shit uni m8
What do you guys think the hardest chapter of Rudin is then? My goal is to finish 6. Am I over the hurdle with 2?
>>8196590
This guy looks exactly like my grandfather, what the fuck.
>>8197519
He might be your grandfather. Is your grandfather called Walter Rudin?
>>8197520
He isn't, but something is definitely afoot.
>>8197542
Post a pic of gramps
>>8197513
>My goal is to finish 6
You should do Chapters 7 and 8 too.
>>8197581
I'll do as much as I can. My goal in this self-study is to prepare for this advanced course and, perhaps more importantly, to place into it. I'm fairly certain that 7/8 won't help me place in per se, but you're right, they would help me for the course.
