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..

Other related courses

Digital Painting Courses

The Digital Painting Mega Course will show you how to create advanced art that will stand up as professional work. This course will enhance or give you skills in the world of digital painting - or your money back The course is your track to obtaining digital painting skills like you always knew you should have! Whether for your own projects or to create art as a professional. This course will take you from having little knowledge in digital painting to creating advanced art and having a deep und

Last Updated 16-03-2024

5 Lessons12:59:53 Hours

     
    2 Sales
₹35000.00
Mastering Dynamic Programming

Unlock the secrets of efficient problem-solving with Dynamic Programming. Learn core principles, strategies, and hands-on techniques for tackling complex computational challenges. Dive into classic problems, optimizations, and real-world applications. Elevate your coding skills and ace technical interviews. Master Dynamic Programming in just a few weeks.

Last Updated 16-03-2024

5 Lessons05:38:09 Hours

     
    2 Sales
₹44100.00 ₹49000.00
System Design

Elevate your software architecture expertise with our System Design course. Dive deep into scalable, fault-tolerant, and distributed systems. Learn key principles, design patterns, and real-world implementations. Gain the skills to architect robust and efficient systems. Propel your career with comprehensive System Design knowledge in just weeks.

Last Updated 16-03-2024

10 Lessons06:29:43 Hours

     
    2 Sales
₹19000.00

Student Feedback

Average Rating

  • 0%
  • 0%
  • 0%
  • 0%
  • 0%
₹9800.00 ₹10000.00
Includes :
  • 08:19:58 Hrs on demand videos
  • Lesson: 11
  • Full lifetime access
  • Access on mobile and TV