Understanding Supremum vs. Maximum: Key Differences in Mathematics

In this video, we explore the crucial distinction between supremum (least upper bound) and maximum within the realm of mathematics. Discover when these concepts overlap, why a supremum can exist even without a maximum, and how they play a role in real analysis and set theory. Whether you're a student or a math enthusiast, this video will help you grasp these foundational ideas.
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#math #mathematics #calculus

0:00 Introduction
0:16 What is Maximum?
0:39 What is Supremum?
1:03 When supremum is equal too maximum?
1:24 When they are not equal