وَالسَّارِقُ وَالسَّارِقَةُ فَاقْطَعُوا أَيْدِيَهُمَا جَزَاءً بِمَا كَسَبَا نَكَالًا مِّنَ اللَّـهِ وَاللَّـهُ عَزِيزٌ حَكِيمٌ
[As for] the thief, the male and the female, amputate their hands in recompense for what they committed as a deterrent [punishment] from Allah. And Allah is exalted in Might and Wise. http://tanzil.net/#5:38
From where the hand should be amputated? Only fingers? From wrist? From elbow? Or other?
What is the reasoning for your answer?
Please specify your answer in according to related school of Fiqh (Hnafi, Shafei, Hanbali, Maliki, Jafari)