Stirling's Approximation

It's inconvenient to calculate the factorial of numbers much larger than 100, so we frequently use an approximation (Stirling's Approximation) to estimate large factorials.

[@mortezakhoshbin]

You make students needless to study other required things.thank you for having such a eloquent expression in mathematics too!

[@PhysicalChemistry]

You should definitely study your other subjects, too! But I do want to make sure it's easy to understand the math topics that will be needed in PChem

[@khongthefork]

Amazing! I'm a music major, have a very little math background. Your explanation was clear and I was able to understand everything!

[@PhysicalChemistry]

That's great. Don't sell yourself short. You must have some interest in math to be watching videos on the Stirling Approximation...

[@mitsu7june]

Amazing proof plus really good explaination. Really love it. You should have math channel too.

[@nurul5971]

Thank you so much for this ! i was stuck to solve the exp of large number.. this helps a lot!

[@PhysicalChemistry]

You're very welcome

[@pedrofigueiredo7850]

Superb explanation, amazing writing in mirror image. The factorial of one million has 5565708 or 9 digits , the best approximation known to me correctly yields its first 49 digits versus 8 from Stirling s approx.

[@PhysicalChemistry]

The 50th digit is an 8. :-) But you shouldn't be amazed at my writing backwards, because I don't: kzbin.info/www/bejne/j57Ze4mhrq-VgsU

[@mismis3153]

Wolfram alpha can give you correct digits up to any amount. A computer could probably brute force it too (in a reasonable amount of time)...

[@theduet7268]

Such a nice explanation sir

[@PhysicalChemistry]

Thanks!

[@touamsoumia25]

Thanks a lot

[@PhysicalChemistry]

My pleasure

[@reynep]

Thank you for this really nice video

[@prodigysonhiddenforareason1239]

Thanks

[@PhysicalChemistry]

You're welcome

[@Bridgelessalex]

Go Tiger!

[@PhysicalChemistry]

Ha, I guess you spotted the paw!

[@svbsbsndndbe]

Any one explain me how this kind of screen work?! I mean if he wrote then why we don't see mirror images

[@PhysicalChemistry]

Yeah, confusing isn't it?! The image gets reversed digitally. I'm writing with my right hand, not my left.

[@svbsbsndndbe]

@@PhysicalChemistry ok thanks