How to make sense of mathematical analysis?

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I've been studying elementary analysis. Now regarding other areas of math, say algebra and calculus, I can understand things fine as I seem to understand things by example. Now in analysis, everything seems like Shakespearian play with no example. My question is how do I make sense out of analysis or more specifically? How can I mould the subject to become a more exemplified version and understand faster, I don't think I'm good at abstract maths any suggestions how I may improve.

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Make your own examples, and find books that provide examples. If you're a visual thinker, then find a book that uses lots of graphs, figures, and so forth.

A start.