描述
一般测度与积分，R 上的勒贝格测度与积分，富比尼定理，勒贝格－拉东－尼科迪姆定理，绝对连续性与微分，Lp 空间。选题例如 Daniell-Stone 理论。
条件与方式
- 同时作为本科课程开设，要求不同，列为 MATH 4007，本课程不予计入额外学分。
原文参考文本
General measure and integral, Lebesgue measure and integration on R, Fubini's theorem, Lebesgue-Radon-Nikodym theorem, absolute continuity and differentiation, LP-spaces. Selected topics such as Daniell-Stone theory.
- Also offered at the undergraduate level, with different requirements, as MATH 4007 , for which additional credit is precluded.
来源与参考
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来源参考 : https://calendar.carleton.ca/grad/courses/MATH/