Real Analysis by Jay Cummings

A concise, rigorous introduction to undergraduate real analysis that develops the real number system and the topology of the line, then treats limits, sequences and series, continuity, differentiation and Riemann integration, and basic metric-space concepts such as completeness and compactness; the text emphasizes clear proofs, illustrative examples, and progressively challenging exercises to build students’ ability to construct rigorous arguments and apply fundamental analysis techniques.

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