Analysis Which Math Textbook is Best for Preparing for Real Analysis?

AI Thread Summary
A math major is preparing for an upcoming real analysis course with a demanding professor and seeks to enhance their understanding over the summer. They are considering either Spivak's "Calculus" or Hardy's "A Course of Pure Mathematics" as preparatory texts, aiming to avoid excessive exposure that could make the class less engaging. Another participant suggests "Understanding Analysis" as an alternative. Overall, Spivak is recommended as a solid choice for preparation.
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Hi all. I am a math major. I will be taking real analysis next Fall with an excellent professor who I know to be also quite demanding. I would like to be as well prepared for this class as possible besides going through a real analysis text or lecture series over the Summer and causing the class to be boring due to too much exposure. So I have decided to either work through Spivak's Calculus or Hardy's A Course of Pure Mathematics over the Summer to prepare myself. Which do you all think would be the better choice or do you have any other suggestions? Thank you!
 
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Abbot: Understanding Analysis is also a choice to consider.

I never read Hardy, but Spivak is a good choice.
 
By looking around, it seems like Dr. Hassani's books are great for studying "mathematical methods for the physicist/engineer." One is for the beginner physicist [Mathematical Methods: For Students of Physics and Related Fields] and the other is [Mathematical Physics: A Modern Introduction to Its Foundations] for the advanced undergraduate / grad student. I'm a sophomore undergrad and I have taken up the standard calculus sequence (~3sems) and ODEs. I want to self study ahead in mathematics...

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