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?
Is there any way you can post a syllabus?
Originally Posted by Danneedshelp
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.