Infinite Series

A humorous look at the mathematics behind infinite series.

For more information visit www.WhyU.org

[prathamjain]

Most underrated educational channel ever !

[MusIsWorld]

@MyWhyU I can't thank you enough guys for the amazing work you're doing. I'm quite glad that you guys r still active cuz I was saddened to notice that the videos I watched so far all TWO years old. keep posting videos explaining math. Your topology vid was brilliant.

[FPrimeHD]

I always love watching videos like this. Always a nice break from regular class theory (real analysis) lol.

[sukumarchandran]

tremendously awesome videos never saw one like this please add more more more videos on maths like this may be discrete maths next

[AexisRai]

@MisterrLi - Wikipedia "Zeno's Paradoxes".

@MyWhyU This channel is a very nicely animated and quite intuitive representation of some of the more difficult topics in mathematics. From an above-average math student, thank you for making these.

[muskankoul]

explained better than any school and college

[dipakdash]

Hey your videos are great! Please provide more videos on maths like that. It inspires students like me to study maths in a different way. Please do it.

[saidaoussi]

I wish they make many series like this, it is very helpful. thank you

[hedgehog-hosx]

That was brilliant, please make more videos in this series.

[AexisRai]

(cont.) The way we ordered the integers may be strange, but because every element of one infinite set can be put into a correspondence (or "bijection") with every element of another such set, they have the same number of elements (or same "cardinality").

A convenient circumstance of these orderings is that the elements of both sets can be "counted" from left to right. Given infinite time, in a sense, "all of them" would be counted. These infinite sets are "countable." But not all are. (cont.)

[kenjipreston]

An amazingly accessible presentation of some complex concepts

[MisterrLi]

Why is there a difference when you add the half of
what remains infinitely many times, when you add
up lengths, compared to when you add up areas?

The problem is, do you or do you not reach the
end point? In the examples: it is not reached in
length but in area, though the area example can
be modified to become the length example by
disregarding height and only use length in the
square (you use rectangles with height equal to
the square and lengths that are the halfs of
previous rectangles).

[Plantsandtoyhorses]

These actually kind of remind me of the old Disney mathematics cartoons from the 1960s(?) that they made us watch in HS math on days when the teacher was absent :D Of course math concepts and rules haven't changed, but these are better because each part only deals with one math topic, and explores all aspects of that one topic.

[quizwithfun]

i have a question

is there is a meaning behind the infinite sign

[pie]

This reminds me of my old calculus class....I hated that class the teacher always spoke too fast. But this video condensed a few lessons into a few minutes (albeit perhaps missing some info).

[namnguyen-zjvk]

could anyone tell me why is summation of 1/2 or1 to infinity is infinity???, ., ., I believe, instead it would be summation of n or n/2 to infinity is infinitive??

[MisterrLi]

True, the value, in standard real number, is equal to 1. The series doesn't include the endpoint, because there is an infinitesimal part missing, which is not counted in the standard real numbers. However if you allow for infinitesimals in the real numbers you see that the series is 1 - an infinitesimal in value. I see nothing paradoxical in an infinity of terms in the series or in the infinitesimally big value at the endpoint. Infinitesimals were proven to exist (A Robinson); not to be ignored.

[aravindhkumar]

wonderful video. keep posting more videos.

[stryperone]

Thanks, I know this at such a young age.

[tanzimaakter]

That's awesome ! it's really very helpful for me as I am adding with you from Bangladesh. Thanks a lot.