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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Which books have you been reading? – littleO Nov 09 '19 at 07:52
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I found very useful the book by Robert Burn, "Numbers and functions". It's problem oriented, perfect for self learning. – dfnu Nov 09 '19 at 07:56
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Currently, I'm using "Understanding Analysis" by Abbott. I find it quite good as it discusses things from beginner point of view, its better than baby Rudin for understanding analysis as a beginner . – GiornoGiovanna Nov 09 '19 at 08:07
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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.
David G. Stork
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Can you suggest anything regarding Elementary analysis (function, continuity, Reiman integration, etc ) right now I'm studying elementary analysis, is there any book regarding that topic that uses graphs, examples – GiornoGiovanna Nov 09 '19 at 07:41
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Hmmm... not sure. (It isn't my branch of math.) But take a look at these extraordinary videos: https://www.3blue1brown.com/ – David G. Stork Nov 09 '19 at 08:10
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@GiornoGiovanna: Can you suggest anything regarding Elementary analysis --- I think Victor Bryant's book Yet Another Introduction to Analysis would probably be best for you at this point. See also the various answers to Good book for self study of a First Course in Real Analysis. Also, try browsing a university's library shelves, where you'll find a lot of books that never seem to get mentioned on the internet, such as some of those I discuss here. – Dave L. Renfro Nov 09 '19 at 09:04