Request for Recommendation of a Handbook of pure Mathematics

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I am looking for some books at undergrad level that give a good pedagogical coverage of of topics like topology,group theory,analysis,measure theory and probability with a nice exposition.Even books that separately cover only one or some of these topics will do.Please recommend some books of that sort.

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I always like to recommend 'Introduction to Analysis' by Maxwell Rosenlicht. It's a short read, but It covered everything I needed for my Advanced Calculus (Real Analysis) course. It also came highly recommended by my professor. It also was nice that it was one of the few reasonably priced math books I've seen.