Abstract
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.
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© 2001 Springer-Verlag London
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Howie, J.M. (2001). Integration. In: Real Analysis. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-0341-7_5
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DOI: https://doi.org/10.1007/978-1-4471-0341-7_5
Publisher Name: Springer, London
Print ISBN: 978-1-85233-314-0
Online ISBN: 978-1-4471-0341-7
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