Could someone please recommend a book or some resource to study about generating functions-one that doesn't require calculus, but should be adequate for contest problems (AIME, USAMO, IMO, etc.) on combinatorics and counting. All help is appreciated.
2026-03-28 13:59:14.1774706354
Book for generating functions(non-calculus)
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Generatingfunctionology by Herbert Wilf is probably a good book for you, its a very readable introduction to using generating functions to solve enumerative problems/prove identities.
Calculus is mostly used formally, as in take formal derivatives, the chain/product rules etc.
It does go into more serious analytic aspects in some parts, but those aren't needed for the enumerative stuff, from what I recall.
Also, its a free download from his website, and has a decent amount of exercises.