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An Introduction to Proofs and the Mathematical Vernacular

An Introduction to Proofs and the Mathematical Vernacular

This is a free, online textbook.  According to the author, "The typical university calculus sequence, which serves majors in the physical sciences and engineering as well as mathematics, emphasizes calculational technique. In upper level mathematics courses, however, students are expected to operate at a more conceptual level, in particular to produce "proofs" of mathematical statements. To help students make the transition to more advanced...

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