2001 | OriginalPaper | Chapter
Integration
Author : John M. Howie, CBE, MA, D.Phil, DSc, Hon D.Univ, FRSE
Published in: Real Analysis
Publisher: Springer London
Included in: Professional Book Archive
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It is possible from a traditional calculus course to gain the impression that integration is simply “anti-differentiation”. This, as we shall see, is part of the message, but it is not the main issue. Integration arose as a limiting case of a sum, where the individual summands tend to zero and the number of summands tends to infinity, and it is this aspect that is fundamental.