Lectures
Monday and Thursday, 2:35pm--3:50pm, Wachenheim 113.
Syllabus
Click here to download the syllabus
Textbook
Johnsonbaugh and Pfaffenberger, Foundations of Mathematical Analysis.
Other references:
- Calculus, 4th ed. by Spivak is a masterpiece -- the exposition is extremely lucid, and the problems are instructive, enjoyable, and frustrating all at once. However, it does not discuss abstract metric spaces, which are an important part of our course.
- Introductory Real Analysis by Kolmogorov and Fomin is a wonderful text, co-authored by one of the titans of the 20th century. It delves deeper into both the analytic and topological aspects of the theory than we'll be able to this semester; well worth exploring.
- Principles of Mathematical Analysis by Rudin -- aka ‘Baby Rudin’ -- is a classic text, extremely terse and with notoriously slick proofs. Worth looking at for a different take on the subject, but works best after you've already seen the material.
- A list of currently open problems by Stefan Steinerberger. Most of these are analysis-related. I'm happy to discuss any of these with you!
Office hours
Tuesdays and Wednesdays, 10:30-12:00pm
(and other times by appointment),
Wachenheim 341.
Precept schedule
