Quote:
Is it necessary to have the single quote mark and the accent?
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That depends on which language is used in that book, ancient greek or one of the modern variants dimotiko (common greek) or katharevousa (very rarely used nowadays). In the modern forms of greek all intonation marks were reduced to the one on the second alpha in 1982. So nowadays the word would be spelled with just the second intonation: ανάγκη.
If you want to use the original spelling that du Maurier used you would need the first intonation as well.