20200130, 09:31  #1 
Jul 2014
1BC_{16} Posts 
infinite products
I've got a maths degree but I was never taught about infinite products. I'd like to ask something : when do people usually learn about infinite products?
I suppose it must be at masters level but then there are different masters degrees, so perhaps it's in a particular branch of maths (maybe analytic number theory) ? 
20200130, 09:55  #2 
"Robert Gerbicz"
Oct 2005
Hungary
11×127 Posts 

20200130, 10:37  #3 
Dec 2012
The Netherlands
2×719 Posts 

20200130, 10:38  #4 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
7×673 Posts 

20200130, 14:24  #5 
Aug 2006
5925_{10} Posts 

20200130, 14:54  #6 
"Composite as Heck"
Oct 2017
2·3^{2}·5·7 Posts 
In the UK it's at A levels but different exam boards might not have it on the curriculum, there's at least 3 popular exam boards. The majority of my first year at uni was recapping A levels in a bit more depth to get everyone up to same level, it's a very wasteful system that could do with an overhaul.

20200130, 16:35  #7 
Feb 2017
Nowhere
3·13·89 Posts 
You need to know about convergence, and most likely natural logarithms also. (Convergence of an infinite product is often equated to convergence of the series of natural logs of (all but finitely many of) the factors, assuming a branch of the log for which ln(1) is 0.
So probably first semester calculus at earliest  late HS or early college. You might not run into infinite products until you take complex analysis. That would be a bit later. An amusing example is which converges for z < 1. Premultiply by 1  z and watch what happens 
20200203, 16:04  #8 
Jul 2014
2^{2}×3×37 Posts 
Merci.
Merci beaucoup docteur. Quelque choses a faire maintenant.

20200211, 13:00  #9 
"ricardos"
Feb 2020
USA
5_{8} Posts 
Thank you. It's very useful and smart definition.

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