I have been using index cards when studying math, at least now.

It's really useful to write down definitions and theorems on one side (one definition/theorem per card) and explanations of why it's useful on the other side (possibly sketching the proof).

It's been really useful while reading through Kirillov's *Lectures on tensor categories and modular functor* (eprint `[math.sunysb.edu]`).

Gel'fand's *Generalized Functions* reads like a dinner table conversation between mathematicians, without formal definitions in the grocery-list Bourbakist manner. Index cards help out a lot here, enabling you to write down where references are (which was, coincidentally, why they were invented in the first place!).

It's also wonderful when you begin to write a book, you can just collate the index cards of theorems and definitions. Then writing is just a matter of inserting literary "glue" between already existing material.

One can form a wiki `[http://takingnotenow.blogspot.com]` using index cards.

But instead I prefer to organize notes `[studygs.net]` slightly differently. It also enables me to "automatically" cite by keeping track of the source in the upper right corner, and label it as a definition or a theorem in the upper left corner.

Plus I am not married to any collation in this scheme. On the other hand, I have to look through all my notes to get to various definitions --- there is no organization to it!

Just more stuff to ponder...

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