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Combining Spivak and Apostol Calculus' textbook is enough (or too much) to prepare someone to take an undergraduate Real Analysis course? Would you have a better (and less time consuming) suggestion?

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  • $\begingroup$ Rudin's PMA is the best (of course, IMO) real analysis book in existence. If that seems very thorough, then Bartle-Sherbert is a very good (again, IMO) replacement. $\endgroup$ – Aloizio Macedo Sep 24 '15 at 0:15
  • $\begingroup$ Thank you! Actually, I'm looking for some good Calculus (and other subjects if need be) to prepare to take a summer Real Analysis course. The Calculus I had (15 years ago!) was very rudimentary. Of course, an introductory Real Analysis is not discarded, but I'm afraid I'm not mature (mathematically speaking) even for Baby Rudin. $\endgroup$ – Daniel Fugisawa Sep 24 '15 at 0:23
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    $\begingroup$ It depends on your notion of time-consuming, but I found Francis Su's lecture videos very helpful in my undergrad course. $\endgroup$ – user170231 Sep 24 '15 at 0:26
  • $\begingroup$ Thanks, already bookmarked! $\endgroup$ – Daniel Fugisawa Sep 24 '15 at 0:30
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    $\begingroup$ @DanielFugisawa I think Apostol is really good preparation for a first course in real analysis (don't skip the introduction!), if you can get through it. Also, if you are interested, I've been blogging all of the solutions to Apostol, Volume 1 (the link is in my profile). Maybe you'll find some of the solutions helpful. $\endgroup$ – Bamboo Oct 2 '15 at 1:00
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Have a look at the suggestions in this closely related MSE question - "Good book for self study of a First Course in Real Analysis".

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