Home page for Math 508, Advanced Analysis

Fall 2017

Instructor: Charles L. Epstein

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The Course

In this course we study the foundations of analysis. The goal of this course is to develop your skills and instincts as mathematical analysts. This entails understanding the basic concepts and techniques of analysis, as well as developing intuition and proficiency in the construction of rigorous proofs. I was planning to use as a text for the course  The Way of Analysis, by Robert Strichartz, but I noticed that the price is now $263, so I don't think we'll use it. We are likely to use Terry Tao's Analysis I (first few chapters) as the text. It can be purchased from the AMS. Other good references are Principles of Mathematical Analysis by Walter Rudin, A Consise Introduction to Analysis by Daniel Stroockand  Mathematical Thinking by John P. D'Angelo and Douglas B. West.

A problem set will be assigned every week, on Tuesdays. We may have one or more midterms and a final.

Syllabus for the course

Lecture Notes et al.


Problem Sets

  1. Problem set 1 due September 12, 2017.
  2. Problem set 2 due September 19, 2017.
  3. Problem set 3 due September 26, 2017.
  4. Problem set 4 due October 3, 2017.
  5. Problem set 5 due October 10, 2017.
  6. Problem set 6 due October 17, 2017.
  7. Problem set 7 due October 31, 2017.
  8. Problem set 8 due November 7, 2017.
  9. Problem set 9 due November 14, 2017.
  10. Problem set 10 due November 21, 2017.
  11. Problem set 11 due December 5, 2017.