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Last updated:

December 27, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

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 Curriculum

  • Motivation, Intuition, and Examples Unlimited
  • General Theory Unlimited
  • Compact Sets in Rⁿ Unlimited
  • Compact Metric Spaces Unlimited
  • The Fixed Point Theorem Unlimited
  • Where We Go from Here Unlimited

About the instructor

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Courses

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Massachusetts Institute of Technology