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I want to learn real analysis nicely. I like Walter rudin real analysis but I have time constraints too. I have red analysis earlier also but I want to fix myself to almost two books for now.. Since in the time period of two to three months maximum it's not possible to read Walter rudin properly. So I thought let me take two books one Walter rudin for motivation and it's elegance and other which would be little easy so that I can cover a good amount of Syallabus as well. So please suggest me a book which I can use with Walter rudin which will give me more details and will be less time taking to go through. I want to know that whether I should go for a calculus book like by Micheal spivak or Adrian banner or any other or understanding analysis by Stephan Abbot ? I know pre calculus. I want to learn those calculus concepts now with more rigour so that It will help me understand rudin more better way.

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    $\begingroup$ Take this one. $\endgroup$ – Billy Rubina Feb 6 '18 at 4:39
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    $\begingroup$ There is no Royal Road. Rudin is an amazing text, but I find it exceedingly terse. I like pictures. I liked Marsden's "Real Analysis" as an early introduction. $\endgroup$ – copper.hat Feb 6 '18 at 4:40
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    $\begingroup$ Apostol's calculus and analysis are other possible choices. I love those texts. Also Terry Tao's analysis. $\endgroup$ – Gary Moore Feb 6 '18 at 4:47
  • $\begingroup$ Thanks for your response $\endgroup$ – prakash nainwal Feb 6 '18 at 6:39
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    $\begingroup$ It's true you can't replace Rudin , if you want to learn mathematical Analysis .But you can try "Introduction to Real analysis" by Bartle and Sherbert if you have time constraints . $\endgroup$ – user250285 Feb 6 '18 at 13:56

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