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640:501 Real Analysis, Fall 2008 homepage

640:501 REAL ANALYSIS, Fall, 2008




  • Class schedule: MW4 (1:40-3:00), Hill Center, 425
  • Text: G. Folland, Real Analysis: Modern Techniques and Their Applications, second edition, Wiley Interscience, 1999. ISBN 0-471-31716-0.
  • Instructor: Daniel Ocone; ocone-at-math-dot-rutgers-dot-edu.
  • 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 Lebesgue-Stieltjes integration; measure spaces, measurable functions and measure; Lebesgue measure and integration; convergence theorems for integrals; Lusin and Egorov theorems; product measures and Fubini-Tonelli theorem; signed measures, Radon-Nikodym theorem, and Lebesgue's differentiation theorem.