I assume that tomes of secrets start to drop in inferno mode; but do the other two types of tomes continue to drop?
No - Tomes of Secrets are the only Tome drops in Inferno. You'll need to use the Auction House or go back to Hell to get Tomes of Blacksmithing and Jewelcrafting.
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So there is no crossover at all? (like the rares/magic items you get in Nightmare might still be crafted into Normal ingredients). – deutschZuid May 24 '12 at 1:42
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None for tome drops - where crafting materials are concerned, occasionally Act IV items salvage into materials for the next higher difficulty, while Act I items sometimes salvage into materials from the previous difficulty. It seems to be tied more to required level than where the item came from. – Ashel May 24 '12 at 2:16