Runtime Analysis of merge sort and quicksort and lower bounds of comparison sorting

Runtime Analysis of merge sort and quick sort and lower bounds of comparison sorting

All I want to say about sorting put here
0:00 start and Runtime Analysis of merge sort
8:00 Runtime Analysis of quicksort
19:00 lower bounds of comparison sorting

Derive Stirling formula step by step:
https://youtu.be/PXz6US4jqUs

Harmonic Number Asymptotic to logn:
https://youtu.be/P-w2C5tYg9U

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Algorithm:
https://www.youtube.com/playlist?list=PLg9w7tItBlZuXLnZO0UrW-jU3euCn17EP

Advanced mathematics list:

Group representation for finite group
https://www.youtube.com/playlist?list=PLg9w7tItBlZvxk4eus_gi2Wp3yYAEXF9-

exact sequences
https://www.youtube.com/playlist?list=PLg9w7tItBlZuI7n7notRRA2jol69e9mc9

Ring theory lecture
https://www.youtube.com/playlist?list=PLg9w7tItBlZtfPKHWGlU55kqafEgUu45u

group theory lecture
https://www.youtube.com/playlist?list=PLg9w7tItBlZtSHrTTVjEzAsUcO69YXY7v

Category theory
https://www.youtube.com/playlist?app=desktop&list=PLg9w7tItBlZtI1njDjtXt_0Hkqbn9RVvi

Field theory in abstract algebra
https://www.youtube.com/playlist?list=PLg9w7tItBlZtA6XhMIgIPkgj_SDKChbN-

Mathematical analysis
https://www.youtube.com/playlist?list=PLg9w7tItBlZu-yFYxQrWrFKcdOHRz2Fkh