Description: Introduction to Measure Theory: Abstract measure spaces, integration on a measure space, absolute continuity of measures, ergodic theorems, Hausdorff measures and fractals.
Prerequisites: Real Analysis I and II; Linear Algebra; Measure Theory I
Recommended Textbook: Real Analysis: Measure Theory, Integration, & Hilbert Spaces, by Elias M. Stein and Rami Shakarchi, Princeton University Press, ISBN-13: 9780691113869, Price US $70.00
Homework: There will be homework assignments for each chapter.
Exams: Midterm and Final
Grade: The final grade will be computed from the midterm and final.
