課程說明
一般測度與積分、實數上的勒貝格測度與積分、富比尼定理、勒貝格—拉頓—尼可迪姆定理、絕對連續性與微分、Lp 空間。選題如達尼爾—斯通理論。
條件與方式
- 亦於本科層級提供(要求不同),列為 MATH 4007,對該課程不得重複獲得額外學分。
原文參考文本
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.
來源與參考
保留日期與來源以協助你核實資料。為便於閱讀提供譯文;官方來源為條件與要求的參照。
來源參考 : https://calendar.carleton.ca/grad/courses/MATH/