Real Analysis 101: Tips for Writing Good Proofs

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Rakiztah
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hello everyone!
I just started a course in real analysis and i must say that it is quite different from all the "engineering math" that i have taken before.I was wondering if anyone could give me tips or advice on how to get better at writing good proofs. Right now,we are using a book called Introduction to real analysis by Bartle,but its too formal for my taste. Also,if anyone could suggest a book that is made for a total beginner,that would be much appreciated.
Thanks in advance.
 
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