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Bill is a pro grammer
(sh.itjust.works)
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Nah, it's not, code is modular (IME should be kinda tree-structured), a book is linear.
So the API should be in your analogy the synopsis. And I haven't said, that there shouldn't be any comments. E.g. doc-comments above functions, explaining the use-cases and showing examples are good practice.
Books can be modular as well (ever heard of "Rayuela" by Cortazar?) But that's beside the point. The analogy is fine and it works.