Integration is introduced via Riemann sums. Velleman carefully demonstrates how the limit of these sums connects back to differentiation through a thorough proof of the Fundamental Theorem of Calculus. 4. Sequences and Infinite Series
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For self-learners and students frustrated by the "cookbook" approach of modern university calculus courses, Velleman’s book offers a "deep dive." It explains why calculus works, rather than just how to calculate derivatives. Given Dover Publications' reputation for affordable, high-quality academic texts, the legitimate version is highly anticipated by the mathematics community. Integration is introduced via Riemann sums
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