introduction-to-metric-spaces-1

Introduction To Metric Spaces

Introduction to the theory of metric spaces—the tool used to generalize the theory of real analysis from the real numbers to more abstract settings. Includes many classic examples of metric spaces and key terminology.

Lesson: 11
08:19:58 Hrs
Last Updated 16-03-2024

Curriculum for this course Lesson: 11 08:19:58 Hrs

Section 1: Introduction to Metric Spaces Lesson

Lesson 1: Motivation, Intuition, and Examples00:59:42

Section 2: General Theory Lesson

Lesson 2: General Theory in Metric Spaces01:18:34

Section 3: Compact Sets in Rⁿ Lesson

Lesson 3: Compact Sets in Rⁿ01:16:42

Section 4: Compact Metric Spaces Lesson

Lesson 4: Compact Metric Spaces01:07:05

Section 5: Complete Metric Spaces Lesson

Lesson 5: Complete Metric Spaces01:10:48

Section 6: Where We Go from Here Lesson

Lesson 6: Where We Go from Here00:53:09

Section 7: DISCRETE METRIC SPACE Lesson

Lesson 7: DISCRETE METRIC SPACE00:15:15

Section 8: Basic Concepts Lesson

Lesson 8: Basic Concepts00:19:08

Section 9: Sequences Lesson

Lesson 9: Sequences00:18:28

Section 10: CAUCHY SEQUENCE IN A METRIC SPACE Lesson

Lesson 10: CAUCHY SEQUENCE IN A METRIC SPACE00:21:24

Section 11: Complete metric space Lesson

Lesson 11: Complete metric space00:19:43

Description

Introduction to the theory of metric spaces—the tool used to generalize the theory of real analysis from the real numbers to more abstract settings. Includes many classic examples of metric spaces and key terminology..

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