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- W4300666405 abstract "By the end of the nineteenth century, it was clear that Riemann integration (about which one learns in a first course in calculus) had to be replaced by a more versatile method of integration. For instance, the characteristic function of the irrational numbers is not Riemann integrable, and yet intuition suggests that over any finite interval it should integrate to the length of that interval. It was Henri Lebesgue (1875–1941) who came up with the appropriate theory in his doctoral thesis written in 1902. Lebesgue, H. There was an urgency in developing such a theory because there were other disciplines in mathematics that were struggling to find an appropriate framework, most notably, probability theory." @default.
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- W4300666405 date "2015-01-01" @default.
- W4300666405 modified "2023-09-25" @default.
- W4300666405 title "Measure Theory" @default.
- W4300666405 doi "https://doi.org/10.1007/978-981-16-7246-0_2" @default.
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