Direct Bolzano Weierstraß
Bolzano-Weierstrass Theorem (Direct Proof)
In this video, I present a more direct proof of the Bolzano-Weierstrass Theorem, that does not use any facts about monotone subsequences, and instead uses the definition of a supremum. This proof is taken from Real Mathematical Analysis by Pugh, and its advantage is that it just uses first principles. Enjoy!
Other Bolzano Weierstrass proof: https://youtu.be/PapmUYM0GRk
Bolzano Weierstrass in R^n: https://youtu.be/sV3HjpKpj6s
Check out my Sequences Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCuFxFsdVzEd5y6GNvOSa1E
Check out my Teespring Merch: https://teespring.com/stores/dr-peyam
Видео Direct Bolzano Weierstraß канала Dr Peyam
In this video, I present a more direct proof of the Bolzano-Weierstrass Theorem, that does not use any facts about monotone subsequences, and instead uses the definition of a supremum. This proof is taken from Real Mathematical Analysis by Pugh, and its advantage is that it just uses first principles. Enjoy!
Other Bolzano Weierstrass proof: https://youtu.be/PapmUYM0GRk
Bolzano Weierstrass in R^n: https://youtu.be/sV3HjpKpj6s
Check out my Sequences Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCuFxFsdVzEd5y6GNvOSa1E
Check out my Teespring Merch: https://teespring.com/stores/dr-peyam
Видео Direct Bolzano Weierstraß канала Dr Peyam
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