Infimum and Supremum | Questions on supremum and infimum | Real Analysis | For B.Sc. , Ba, M.Sc.
Welcome to Epselon++! In this video, we delve deep into the fundamental concepts of Real Analysis, focusing on the infimum and supremum of sets. This topic is crucial for students pursuing B.Sc., BA, and M.Sc. in Mathematics, as well as those preparing for competitive exams like CSIR NET, GATE, IIT JAM, TIFR, and CMI.
📘 What You'll Learn:
1. Introduction to Infimum and Supremum:
- Understand the basic definitions of infimum (greatest lower bound) and supremum (least upper bound).
- Learn the significance of these concepts in the context of real analysis and mathematical theory.
2. Finding Infimum and Supremum:
- Step-by-step procedures to determine the infimum and supremum of various sets.
- Practical examples to illustrate how to apply these procedures effectively.
3. Properties and Theorems:
- Explore important properties and theorems related to infimum and supremum, including their existence and uniqueness.
- Understand how these properties are used to solve complex mathematical problems.
4. Solved Examples:
- Detailed solutions to a variety of questions involving the determination of infimum and supremum.
- Examples range from simple to complex sets, ensuring a comprehensive understanding of the topic.
5. Application in Real Analysis:
- See how the concepts of infimum and supremum are applied in broader topics within real analysis.
- Learn about their relevance in the study of sequences, functions, and integration.
👍 Don't forget to like, subscribe, and hit the notification bell so you don’t miss future videos in this series. Let’s build a solid foundation in real analysis together!
Timestamps :
00:00 Intro
01:02 Questions
01:48 Question (a)
06:47 Question (b)
10:04 Question (c)
12:46 Question (d)
15:45 Question (e)
18:09 Question (f)
20:34 Question (g)
25:30 Question (h)
30:29 End
#realanalysis #realnumbers #infimum #supremum #mathematics
Follow Us:
Facebook: facebook.com/profile.php?...
Instagram: / demoninsidep1
Keys:
infimum and supremum,
supremum and infimum,
what is infimum,
what is supremum,
how to find infimum and supremum,
find infimum and supremum,
glb and lub,
least upper bound,
greatest lower bound,
questions on supremum and infimum,
questions on infimum and supremum,
infimum and supremum questions,
supremum and infimum problems,
sk mappa real analysis questions,
how to find supremum and infimum in given set,
set theory real analysis,
set theory real analysis bsc,
sk mapa real analysis solutions,
sk mapa real analysis,
real analysis sk mapa solutions,
real analysis sk mapa,
introduction to real analysis sk mapa,
Негізгі бет Infimum and Supremum | Questions on supremum and infimum | Real Analysis | For B.Sc. , Ba, M.Sc.
Пікірлер: 12