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18.S097 | January IAP 2022 | Undergraduate
Introduction to Metric Spaces
Course Description
This course provides a basic introduction to metric spaces. It covers metrics, open and closed sets, continuous functions (in the topological sense), function spaces, completeness, and compactness.
Course Info
Instructor

- Paige Bright

Departments

- Mathematics

Topics

- Mathematics
  Mathematical Analysis

Learning Resource Types
menu_book Online Textbook
notes Lecture Notes
assignment Problem Sets
co_present Instructor Insights
When walking somewhere in the city, you can measure distance by number of blocks; after all, you can’t walk through buildings! We study real analysis on this ‘metric’ and more. (Image courtesy of Daniel Foster on Flickr. License CC BY-NC-SA.)