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1st year Analysis and foundations books.

Blackscorpion2011
Post Icon Posted: Submitted by Blackscorpion2011 on 1 November 2009 - 3:40pm.

Joined: 2008-07-10
Posts: 23

Can anyone recommend any books for first year Analysis & Foundations which you found particularly brilliant.
Dont fancy spending a large sum of money on a book which isnt particularly helpful & hence never used.
Cheers

Callan
Post Icon Posted: 1 November 2009 - 8:29pm

Joined: 2008-09-30
Posts: 173

For analysis I wouldn't really think you need anything other than the workbooks and I don't have any really good suggestions for analysis 2 (unless you are up to the challenge for reading "Principles of Mathematical Analysis" by Rudin which does in fact cover everything in the first two years of analysis but from quite a "mature" point of view).

For foundations I think the recommended course book ("The Foundations of Mathematics" by Stewart and Tall) is good. Also worth checking out is "The Princeton Companion to Mathematics" which covers all of the course in the introduction and should be owned by anyone on the degree anyway!

Cosmin will probably somehow recommend Proofs From the Book.

P.S. Come to a discussion group sometime!

Blackscorpion2011
Post Icon Posted: 2 November 2009 - 10:46pm

Joined: 2008-07-10
Posts: 23

Cool, cheers.
Ill check them out.
And do you have to be a member of the Maths Society to go to these discussion groups?
As I havent actually joined yet.
Im just invading your website still, lolz.

cosmin
Post Icon Posted: 3 November 2009 - 12:54pm

Joined: 2006-11-02
Posts: 1291

Not really, you can turn up even if you're not a member.

P.S. I wasn't really going to recommend Proofs from the Book as a 1st year analysis/foundations book. :P

Sleeping Yeti
Post Icon Posted: 5 November 2009 - 12:02am

Joined: 2007-03-03
Posts: 196

The maths society has a copy of Burn's book on analysis. Since its not seeing much use at maths cafe, perhaps you could persuade Kevin to implement Tom's original idea of a lending system.

Blackscorpion2011
Post Icon Posted: 10 November 2009 - 9:13pm

Joined: 2008-07-10
Posts: 23

You guys really should give a longer notice on the discussion groups as opposed to putting it up the day before as I never actually notice until after its already happened. (Or maybe I just dont check this site frequently enough... lolz)

Sam
Post Icon Posted: 11 November 2009 - 9:48am

Joined: 2007-10-03
Posts: 562

Well you should know by now that it's every Monday and Thursday at 7:30pm :p
I'm doing the one next Thursday but I still haven't picked a topic to be honest so I can't really advertise it yet :p

Edit: Guess what, I chose a topic.