Mathematica Intro book for Mathematical Analysis

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The discussion centers on recommendations for self-studying mathematical analysis, comparing Pugh's "Real Mathematical Analysis" to Rudin's "Principles of Mathematical Analysis." Many participants suggest that Rudin may not be the best choice for self-study due to its complexity. Strichartz's "The Way of Analysis" is noted for its narrative style, which could aid learners, while Ross's "Elementary Analysis" is likened to Spivak's calculus but is more accessible. Other recommended texts include Rosenlicht's "Intro to Analysis," Bartle and Sherbert's "Introduction to Real Analysis," and Lang's "Undergraduate Analysis." Overall, Pugh is favored for those looking to learn analysis independently.
kmgh
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I am looking to learn analysis on my own - would like to know how does the book "real mathematical analysis" by Pugh compare to baby Rudin.
 
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i don't know anything about pugh, but I don't think rudin is the best book for self studying.

strichartz's the way of analysis isn't the best reference book but it describes things in a "story-like" manner which might help for someone self studying. ross's elementary analsyis is kinda comparable to a spivak calculus type deal, but more geared towarfds lower end analsyis.

ive also heard great things about rosenlicht's intro to analysis (its a cheap dover)
 
I really liked Introduction to Real Analysis by Bartle and Sherbert. It is a good intro book and it can be used for self study. Pretty good INTRO book. Not as thorough as other books however.
 
Serge Lang, Undergraduate analysis is a good book.
 
analysis self-learning is tough - rudin would be hard as it is if you were in a class. go with pugh.
 
what courses should you have b4 trying to self-study analysis?
 
Ditto Bartle if you are afraid of baby Rudin. Not that anyone should be afraid of baby Rudin--- it's a wonderful book!
 
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