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I am looking now to self-study (real) Analysis as it is one of the main pillars of modern mathematics, and a very useful requisite to many other complex theories and topics (e.g. topology, algebraic geometry, etc.) - and of course being interested in it! I have already studied Abstract Algebra (studied from Serge Lang Undergraduate Algebra), Calculus 1-3 (so therefore including multivariable and vector calculus), and Linear Algebra (with formal proofs). I find myself now quite comfortable with formal proofs, although apart from calculus I have no previous experience with Analysis. As I am self-studying, a good solution set is imperative also. I was thinking maybe of Rudin, Kolmogorov, Serge Lang Undergraduate Analysis, etc.? Anyway, all recommendations of books for Analysis very much appreciated. Thank you

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closed as primarily opinion-based by Thomas, Shailesh, JonMark Perry, Xander Henderson, Robert Soupe Sep 4 '17 at 5:30

Many good questions generate some degree of opinion based on expert experience, but answers to this question will tend to be almost entirely based on opinions, rather than facts, references, or specific expertise. If this question can be reworded to fit the rules in the help center, please edit the question.

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Big fan of Strichartz' Way of Analysis and Abbott's Understanding Analysis for self-study.

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  • $\begingroup$ I second Abbott $\endgroup$ – Oiler Sep 3 '17 at 20:10

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