
#1
Sep1207, 12:28 AM

P: 1,705

a gentle intro to real analysis? any suggestions anyone? something very readable?




#2
Sep1207, 01:59 AM

P: 390

Calculus by Michael Spivak is a very readable introduction to real analysis that is, analysis on R.
If you want something which starts with R and moves onto the more general metric space, Hilbert and Banach space setting though, a very readable (Dover) book is Foundations of Mathematical Analysis by Richard Johnsonbaugh and W.E. Pfaffenberger. You might also appreciate a book on topology if you're looking for something of the latter category I'm currently reading through Introduction to Topology by Theodore W. Gamelin and Robert Everist Greene. Both books were recommended to me in this thread, so you might want to take a look there as well. 



#3
Sep1207, 04:49 AM

P: 192

Pughs Real Mathematical Analysis is IMO the best introductory analysis book for learning the subject.




#4
Sep2507, 08:26 PM

P: 1,705

intro to analysis?
for anyone else i was recommended understanding analysis by stephen abbott



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