Real Analysis 7 | Cauchy Sequences and Completeness [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 Convergent sequences
00:54 Different property of a sequence
02:09 Definition Cauchy sequence
02:16 Connection to convergent sequences
03:14 Dedekind completeness
03:47 Sketch of proof
07:35 Application for monotonic sequences
08:44 Credits

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

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)

[RuizhanGu]

I think this Cauchy Sequences is one of the most imporatant and difficult one in the whole lessons, if you have been read the excercise of it.

[aarian]

The dark version is superb. Which program is used to screen record?