Mathematics 420/507, Section 101

Real Analysis I/Measure Theory and Integration

Department of Mathematics University of British Columbia

Prerequisites: A score of 68% or higher in MATH 321.


Instructor

Joel Feldman

 E-mail    feldman@math.ubc.ca 
 Office  Math 221
 Phone  604-822-5660
 Home page  http://www.math.ubc.ca/~feldman/
 Office hours  Mon 10:00-11:00, Tue 11:00-12:00, Thurs 2:00-3:00

Text

I will post all handouts, problem sets, etc. on the web here.


Other References


Topics

  1. Measures (§1):
        Sigma-algebras, measures
        Borel and Lebesgue measures
  2. Integration (§2):
        Measurable functions, integration
        Convergence, product measures
  3. Differentiation (§3):
        Signed measures, Lebesgue-Radon-Nikodym Theorem
  4. Lp Spaces (§6):
        Lp Spaces, Holder and Minkowski inequalities
        Dual spaces

Grading


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