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Published Dec. 2, 2015 5:32 PM

Exam Dec. 2014 with solutions

Solutions to Exam fall 2014

 

Exam Dec. 2013 with solutions:

Solutions to Exam Fall 2013

Published Nov. 26, 2015 12:39 AM
Published Nov. 16, 2015 9:27 PM

This is to remind you that 

janjk <janjk[at]student.matnat.uio.no>

is the student representative for the course.

Published Oct. 7, 2015 11:37 PM
Published Oct. 5, 2015 9:52 AM

We will find a student representative for the course this week. (October 5 - 9.)

Published Sep. 7, 2015 2:35 PM

The book "Rudin, Real and Complex Analysis" contains an alternative proof that some may find easier (p.99, Theorem 5.9). See the link:

Rudin, Real and Complex Analysis

Published Aug. 21, 2015 4:16 PM

Here is a link to the proof we lectured (from [F] 3.8):

The Lebesgue-Radon-Nikodym Theorem

Published Aug. 10, 2015 3:15 PM

The course contents will  mainly be taken from

[MW] J. McDonald, N. Weiss, A course in real analysis, 2nd edition. In particular, we will cover parts of

Ch. 6 , 8, 9 (9.1-9.4), 12 (12.1), 13 (13.4-13.6) and 14 (14.1-14.2).

Occasionally we will also consult the sources

[F] Gerald B. Folland, Real Analysis,  [RF] H. L. Royden, P. M. Fitzpatrick, Real Analysis (4th edition), and Gert K. Pedersen,  Analysis Now.

Some alternatives:

 [D] B. Driver "Analysis tools with examples"

 [RF] H. L. Royden, P. M. Fitzpatrick, Real Analysis (4th edition)

 [B] Richard F. Bass Real analysis for graduate students: measure and integration theory