Basic Real Analysis (eBook, PDF)

Basic Real Analysis (eBook, PDF)

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"Basic Real Analysis" demonstrates the richness of real analysis, giving students an introduction both to mathematical rigor and to the deep theorems and counterexamples that arise from such rigor: for example, the construction of real numbers, the Cantor set, the Weierstrass nowhere differentiable function, and the Weierstrass approximation theorem. In this modern, systematic text, all the touchstone results and fundamentals are carefully presented, but in a style that requires little prior familiarity with proofs or mathematical language. Basic topics---metric spaces, integration, series, an...

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