Abstract
Much of calculus deals with the interplay between differentiation and integration. The antiquated term “antidifferentiation” emphasizes the fact that differentiation and integration are inverses of one another. We will take it for granted that readers are acquainted with the mechanics of integration. The current chapter develops just enough integration theory to make our development of differentiation in Chap. 4 and the calculus of variations in Chap. 17 respectable. It is only fair to warn readers that in other chapters a few applications to probability and statistics will assume familiarity with properties of the expectation operator not covered here.
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Lange, K. (2013). The Gauge Integral. In: Optimization. Springer Texts in Statistics, vol 95. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5838-8_3
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DOI: https://doi.org/10.1007/978-1-4614-5838-8_3
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