求PhD&MS选校定位

我记得有听说，实分析要比实变函数多出来一部分，但不记得是什么了。。。ORZ。。。
QiQi 发表于 2011-10-23 02:56

bounded variation
Lebesgue–Stieltjes integration

我们学校成绩单上实变函数的翻译就是实分析。确实难，很多人都没拿到80。。。。

回复 41# demonhunter


    这个偶都学过了哈。看来我们的advanced calculus可以算real analysis的

回复 38# demonhunter


    我的cac1,2,3都修了。我说的advanced calculus I,II用的是apostol 的 mathematical analysis 第二版

那real analysis大概包含哪些东西呢？修过Regression Analysis ，能否包括呢？
rongrong 发表于 2011-10-22 09:02

..

    Regression Analysis 讲什么的？

偶本科学校数专的 real analysis sequence (之前需要修过  Introductory Real Analysis sequence):
. 1point 3 acres
MATH 424 Fundamental Concepts of Analysis (3) NW
The real number system; field, order, and LUB axioms. Metric spaces: Euclidean space. Bolzano-Weierstrass property. Sequences and limits of Sequences. Cauchy sequences and completeness. The Heine-Borel Theorem. Uniform continuity. Connected sets and the intermediate value theorem. Prerequisite: either 2.0 in MATH 328 or 2.0 in MATH 335. Offered: A.

MATH 425 Fundamental Concepts of Analysis (3) NW
One-variable differential calculus: chain rule, inverse function theorem, Rolle' s theorem, intermediate value theorem, Taylor' s theorem, and intermediate value theorem for derivatives. Multivariable differential calculus: mean value theorem, inverse and implicit function theorems, and Lagrange multipliers. Prerequisite: either 2.0 in MATH 326 or 2.0 in MATH 335; 2.0 in MATH 424. Offered: W.

MATH 426 Fundamental Concepts of Analysis (3) NW
Lebesgue measure on the reals. Construction of the Lebesgue integral and its basic properties. Monotone Convergence Theorem, Fatou' s Lemma, and Dominated Convergence Theorem. Integration of series. Continuity and differentiability theorems for functions defined by integrals. Introduction to general measures and integration. Prerequisite: 2.0 in MATH 425. Offered: Sp.

回复 44# duanmupeiyi


    端木MM能不能贴下real analysis 的课程介绍？你们的Math424,425,426的内容我的Advanced Calculus都cover了，想看看real analysis有什么不一样的。

回复 45# wzsamd

我前面贴的就是啊， 424，425 用的 apostol 那本书，426我们用的 A primer of Lebesgue Intergration by Bear
topic都一样的话，应该不用太担心

回复 46# duanmupeiyi


    谢谢了，我刚开始没看清，以为那是introductory real analysis sequence

回复 32# geogria

可是你找美国老师写他们也很忙啊，要帮你一所所填表格写推荐信。。

回复 44# duanmupeiyi
端木MM介绍的很详细。谢谢啦！我修过的课，基本内容差不多，只是不叫这个名称。我可能想申伯克利的MS。希望今后能在校园里认识。再一次谢谢！