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I am going to start a first course in Analysis soon in university this semester (in around a week).

Can anyone please recommend me good books/online notes or video lectures that can help me in studying analysis? I'll be studying the following topics:

  • Real Numbers:Field axioms, order axioms, bounded sets, completeness axioms
    • Sequences
    • Series
    • Limits of functions
    • Differentiation
    • Topology of R

So any books/notes/videos that target these areas? Also, please keep in mind that I'm not particularly amazing at math. I'm a slow learner and hence materials that are dumbed down will be preferred so I can better understand analysis.

Thanks.

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  • $\begingroup$ Best book is the book from your course. If you have free time try The Way of Analysis by Strichartz $\endgroup$ Jan 2, 2020 at 7:21

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This link give you free acsses to MIT courses and this gives you access to videos tools along with the following with multiple references on calculus and real analysis for beginners Calculus book recommendations (for complete beginner) and Good First Course in real analysis book for self study also see this Online Course for Real Analysis and Video Lectures that closely follow Rudin's Real Analysis/Royden's Real Analysis

also book recommendation for real analysis

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For the beginner to Real analysis, I think “Introduction to Real analysis” by Bartle and Sherbert is excellent book.

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  • $\begingroup$ Thank you! Does it have practice questions and solutions? $\endgroup$
    – Alea
    Jan 16, 2018 at 11:28
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I personally recommend studying analysis through 'Understanding Analysis' by Stephen Abbott. I found it to be a fantastic book, with the treatment rigourous and suitable very much for beginners.

Also see this earlier MSE question.

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  • $\begingroup$ Thank you! Will definitely have a look at it! $\endgroup$
    – Alea
    Jan 16, 2018 at 11:36

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