Dear Amireh,
Installing Firedrake natively on Windows is a seriously unsupported option which is unlikely to work. If you’re running windows then there are two ways of running Firedrake:
1. Install Firedrake in an Ubuntu virtual machine. Many users find this very straightforward.
2. If you are on Windows 10, you could try using Windows subsystem for Linux to install Ubuntu under Windows and install Firedrake there.
Using a different Linux distribution in either a VM or under Windows 10 may well also work, but is a less well supported option.
As an aside, you posted this question to the Firedrake emailing list without subscribing to the list. I have explicitly copied you in to the reply to this mail to make sure you see it, but to ensure you see further replies and so that your  future
 questions come through directly to the list, please subscribe. You can do so at: 
https://mailman.ic.ac.uk/mailman/listinfo/firedrake
Regards,
David
To whom it may concern 
I want to install Firedrake on windows system. Can you please give me some advice and guidance in this direction. I should say that I have Cygwin on my system.
Thank you in advance.
All the best,
Amireh Mousavi
 
 
 
_______________________________________________
firedrake mailing list
firedrake@imperial.ac.uk
https://mailman.ic.ac.uk/mailman/listinfo/firedrake