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Convergent Series is a collection of science fiction and fantasy short stories by American writer Larry Niven, published in 1979. It is also the name of one of the short stories in the collection. The collection reprints the stories originally appearing in the 1969 collection "The Shape of Space" that were not part of the Known Space series (The Known Space stories were previously reprinted in 1975's "Tales of Known Space" and 1976's "The Long ARM of Gil Hamilton"). The collection includes newer stories, both fantasy and science fiction, some of which are in the Draco's Tavern series, none of which are in the Known Space series. The collection won the 1980 Locus Award for Best Single Author Collection.