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Stabilizer comments on Self-Study Questions Thread - Less Wrong Discussion
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Skimming through these two textbooks, it seems that:
1) Information Theory... would go down a lot easier if you are already comfortable with probability theory. Nothing fancy, but being able to solve basic "balls and urns" problems, which require some knowledge of combinatorics. Also, knowledge of linear algebra would help a lot.
2) ...Economic Analysis seems to require comfort with calculus. Comfort with reading, manipulating and understanding graphs---similar to the kind you encounter in Newtonian kinematics---would also go a long way.