20200130, 09:31  #1 
Jul 2014
3·149 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
5×17^{2} Posts 

20200130, 10:37  #3 
Dec 2012
The Netherlands
11001011100_{2} Posts 

20200130, 10:38  #4 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
31·157 Posts 

20200130, 14:24  #5 
Aug 2006
2×29×103 Posts 

20200130, 14:54  #6 
"Composite as Heck"
Oct 2017
769_{10} 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
10F8_{16} 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
3×149 Posts 
Merci.
Merci beaucoup docteur. Quelque choses a faire maintenant.

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

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Infinite series  Raman  Math  6  20110424 01:21 
approximating products  only_human  Puzzles  0  20100323 18:49 
Byproducts and other curiosities  mart_r  Miscellaneous Math  26  20090908 17:29 
Infinite Sum Problem  jinydu  Puzzles  9  20051024 18:23 
Infinite CoinToss?  eaS  Puzzles  20  20030921 02:48 