Real Analysis Qualifying Exams
نویسنده
چکیده
Here are some of my own solutions of recent qualifying exams of Real Analysis in TAMU. For three exams Jan 2013, August 2012 and January 2012, I type all full solutions. For previous exams before 2012, I type solutions of some selected problems. Sometimes, there are some comments and similar exercises after some problems. This is written for my Real Analysis Qualifying Exam Preparation Course in Summer 2013 at TAMU. 1. January 2013 Problem 1: Let f be a Lebesgue integrable, real valued function on (0, 1) and for x ∈ (0, 1) define g(x) = ∫ 1
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