Real Analysis 13 | Open, Closed and Compact Sets [dark version]

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This is my video series about Real Analysis. We talk about sequences, series, continuous functions, differentiable functions, and integral. I hope that it will help everyone who wants to learn about it.

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00:00 Intro
00:14 Recalling (epsilon-)neighbourhoods
01:33 Example: neighbourhoods
02:43 Definition open sets
04:00 Definition closed set
04:43 Examples
06:11 Criterion for checking closeness with the help of sequences
06:44 Example for the criterion
07:40 Definition compact sets
08:58 Credits

#RealAnalysis
#Mathematics
#Calculus
#LearnMath
#Integrals
#Derivatives
#Studying

I hope that this helps students, pupils and others. Have fun!

(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

  1. The Bright Side of Mathematics
  2. #Maths
  3. Studying
  4. Explanations
  5. Learning
  6. Mathematics
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Комментарии
Автор

Hello! I think you should do a general topology course and an abstract algebra course. I would really appreciate it and I’m certain others would too.

vtron
Автор

Hello, I’ve been self studying real analysis with your videos for quite some time now, and is there a way to think of the closed sets differently?

turtleomnom
Автор

Hello sir !
I'm from India &
I want to PDF.
How to pay for this?

I have no any credit card and PayPal
Plz provide UPI ID

me-tubemath