Javascript Menu by DeluxeMenu.com
640:501 Real Analysis, Fall 2008 homepage
640:501 REAL ANALYSIS, Fall, 2008

Class schedule:
MW4 (1:403:00), Hill Center, 425

Text: G. Folland, Real Analysis: Modern Techniques and
Their Applications, second edition, Wiley Interscience,
1999. ISBN 0471317160.

Instructor:
Daniel Ocone; oconeatmathdotrutgersdotedu.

Office Hours: Hill 518: W5, or by appointment.

SYLLABUS, NOTES, and PROBLEM SETS
Prerequisites:
This course assumes familiarity with real analysis at the level,
roughly, of W. Rudin, Principles of Mathematical Analysis.
 Basic real variable function theory, measure and integration theory
prerequisite to pure and applied analysis.
Topics: Riemann and LebesgueStieltjes integration; measure spaces,
measurable functions and measure; Lebesgue measure and integration;
convergence theorems for integrals; Lusin and Egorov theorems;
product measures and FubiniTonelli theorem; signed measures,
RadonNikodym theorem, and Lebesgue's differentiation theorem.