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Mathematical Analysis I by Elias Zakon.
This covers the following topics: metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability
This text is appropriate for any undergraduate course in real analysis or mathematical analysis, or for a preparatory class for beginning graduate students who will later advance to courses in measure theory and functional analysis
This covers the following topics: metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability
This text is appropriate for any undergraduate course in real analysis or mathematical analysis, or for a preparatory class for beginning graduate students who will later advance to courses in measure theory and functional analysis