Proof and Problem Solving - Family of Sets and Indexed Family of Sets

[@joannis-f9h]

Thank you so much - nobody explains these...

[@valeriereid2337]

Thanks very much for this excellent example. It certainly helps.

[@AdamPanagos]

Thanks for the kind words, I’m glad you enjoyed the video! Make sure to check out my website adampanagos.org for additional content (600+ videos) you might find helpful. Thanks much, Adam

[@MariannaLeros]

Thanks for taking the time to make these videos! They are very informative and beneficial.

[@AdamPanagos]

Great, glad you found them useful. Thanks.

[@tomastomas4739]

Thanks the only video on RUclips that explains how to work with sets 👍

[@AdamPanagos]

Glad I could help, thanks for watching.

[@Biblebite-f1c]

What is the results will be if index set is an empty set?

[@hajerjm]

Can you please tell what's the Textbook used for this course? Thank you very much for these videos!

[@AdamPanagos]

The textbook used for the course is, "How To Prove It: A Structured Approach", 2nd edition by Daniel J. Velleman.
Another excellent resource for this type of material is, "The Book of Proof" by Richard Hammack. The later can be downloaded for free from the author:
www.people.vcu.edu/~rhammack/BookOfProof/Main.pdf
Thanks for watching,
Adam

[@miriamsantaniellp6177]

Crystal clear explanations!

[@AdamPanagos]

Thanks for the kind words, I’m glad you enjoyed the video! Make sure to check out my website adampanagos.org for additional content (600+ videos) you might find helpful. Thanks much, Adam

[@chemdah]

What is an indexed family of sets used for?

[@csmathster]

Every math class after calculus.

[@chandrapandey822]

Robert Nooney
It is extremely important in Topology and in complex analysis

[@satyendrayaduwanshi1252]

Amazing explanation.. Thanks for this video..

[@AdamPanagos]

Glad you found the video useful, thanks for watching.
Adam

[@dilara2864]

Thanks 🙏🏽

[@AdamPanagos]

Thanks for the kind words, I’m glad you enjoyed the video! Make sure to check out my website adampanagos.org for additional content (600+ videos) you might find helpful. Thanks much, Adam

[@eufrosynie]

Thanks 💝

[@AdamPanagos]

You're very welcome, thanks for watching. Make sure to check out my website adampanagos.org for additional content (600+ videos) you might find helpful. Thanks, Adam.

[@cavelinguam6444]

Awesome

[@limitsatinfinity4393]

But What are A_i , themselves?

[@AdamPanagos]

Each A_i is a set. As i changes, the set changes. Just an indexed collection of sets.

[@jokerhhhify]

GREAT THANKS

[@AdamPanagos]

You're welcome, glad you like it.