Thread: Intro to real analysis

Hey there, I'm going to be taking "introduction to real analysis" next fall and was wondering if anyone had any suggested summer readings for me. I want to go into the class having at least some background knowledge on the topic. I would like to do well on my first test so its not an uphill battle for the rest of the semester.

I definitely struggled in my foundations course, so I'm looking for a book that examines proofs in depth and doesn't make too many assumptions about prior knowledge of the subject. I will definitely be looking over my foundations book over the summer just to keep refreshed. At any rate, does anyone have any suggestions?

Thanks alot

Originally Posted by Danneedshelp

Hey there, I'm going to be taking "introduction to real analysis" next fall and was wondering if anyone had any suggested summer readings for me. I want to go into the class having at least some background knowledge on the topic. I would like to do well on my first test so its not an uphill battle for the rest of the semester.

I definitely struggled in my foundations course, so I'm looking for a book that examines proofs in depth and doesn't make too many assumptions about prior knowledge of the subject. I will definitely be looking over my foundations book over the summer just to keep refreshed. At any rate, does anyone have any suggestions?

Thanks alot

Is there any way you can post a syllabus?

I know this is kind of vague, but this is what my professor told me the course would cover...(I don't have an official syllabus yet.)

Real Numbers and Sequences, Topology of R and Limits, Continuity and Differentiation, and Integration.

All in one variable.

Here are two suggestions of compact, well written textbooks.
Elementary Analysis: The Theory of Caculus by Kenneth A. Ross.
An Introduction to Mathematical Analysis by John B. Reade.