>>11749473No.
>>11750305>>11750316Poes
Anyways, the real problems with Rudin:
1) Outdated notation at times which would really help both clarify and cut down on the verbosity of descriptions
2) Sometimes is strangely not self-contained (see the way he suddenly shifts from the notion of Q being dense in R (an element of Q being between any two elements of R) to suddenly using it in a more general way in the exercises without explaining how he is using it (he suddenly uses density in the context of a general metric space, wherein a set is said to be dense in a space if every open set in the space contains elements of that set, but he never explains this).
Things that will affect absolute beginners at analysis:
1) Proofs are quite terse and take a little mathematical maturity to fill in the gaps at times
2) The exercises can get very difficult compared to other introductory texts.
Things the text does well:
1) If the exercises are worked through and understood, you will become much more prepared for many later texts in mathematics, both inside of and outside of analysis
2) Order of presentation is great
Things that are good about having the text but are not because of the text as is:
1) A ton of supporting material for the text online because of how popular it is: notes, many solutions, supplementary exercises, etc.
