mathematical analysis books with many examples I am looking for analysis books that can explain thing clearly and contain many good examples to help me understand the math. 
I don't possess a very in-depth knowledge of mathematics. Also, it's alright if the book is quite lengthy or pricey.

This should be a comment, but I can't comment because I don't have enough rep... sorry.
I liked Stephen Lay's Analysis: With an Introduction to Proof (4th Edition) for an easy, slow, example-ridden intro to analysis. It'll work for you if you've taken first year calculus. 
