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I agree with RiderOfGiraffes. You must do. Reading alone won't do the trick but I'm sure you know this. I have found that there are two types of mathematicia
by yequalsx 17y ago
I agree with RiderOfGiraffes. You must do. Reading alone won't do the trick but I'm sure you know this. I have found that there are two types of mathematicians.
1. Can not read a theorem without knowing every little detail.
2. Can read a theorem, accept that it is true without knowing every little detail and being able to justify every little detail.
You sound like type 1. For type 1 person I recommend taking courses and asking the teacher lots of questions. I am type 1 and it took me a long time to really understand how to read a mathematics book. I learned this in graduate school because my teachers mostly sucked at teaching.
Good luck.
- yequalsx 17y agoLet me add that one way to become a type 2 person is to play a game with a theorem. Say you encounter something you don't really understand. The book says it is true but you don't know why it is true. Forget about why it is true and see if you can do problems assuming it is true. Say to yourself, "Provided this is true what must logically follow from it?" See if you can use the result even though you don't know why it is true or where it came from.
- justlearning 17y agothanks, good to know (both about types) and to get over to type 2.