Titlebook: A Concise Introduction to Measure Theory; Satish Shirali Textbook 2018 Springer Nature Switzerland AG 2018 Measure and integration.Lebesgu

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附录

https://doi.org/10.1007/978-3-030-03241-8Measure and integration; Lebesgue measure; Fubini and Tonelli theorems; Fundamental theorem of calculus

DIS

978-3-030-03240-1Springer Nature Switzerland AG 2018

forebear

Wenyin Liu,Yuanchun Shi,Qing Liclass of subsets of the real line. Interchanging the order of summation in repeated sums. Improper integrals over [0, ∞) and their convergence for an increasing (which means nondecreasing throughout this book) sequence of decreasing nonnegative functions.

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In Situ Geotechnical Investigationsorder of summation in repeated sums over uncountable sets. Unconditional sum of real numbers (which can, but has not been, extended to complex numbers or vectors having “magnitude” or “length”) indexed by any infinite set, and its interpretation as an integral with reference to the counting measure.