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Integration is one of the two cornerstones of analysis. Since the fundamental work of Lebesgue, integration has been interpreted in terms of measure theory. This introductory text …
Let $\mathcal S$ be a second order smoothness in the $\mathbb{R}^n$ setting. We can assume without loss of generality that the dimension $n$ has been adjusted as necessary so as to …
This solutions manual is geared toward instructors for use as a companion volume to the book, A Modern Theory of Integration, (AMS Graduate Studies in Mathematics series, Volume …
We learn by doing. We learn mathematics by doing problems. And we learn more mathematics by doing more problems. This is the sequel to "Problems in Mathematical Analysis I" (Volume …