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What follows is a lightly edited version of the author's unpublished master'sessay, submitted in partial fulfillment of the requirements of the degree ofMaster of Arts at the Pennsylvania State University, dated June 1994, writtenunder the supervision of Professor George E. Andrews. It was retyped by theauthor on November 23, 2022. Obvious typographical errors in the original werecorrected without comment; hopefully not too many new errors were introducedduring the retyping. Explanatory text added by the author in 2022 is notated by\emph{Remark added in 2022}. After the initial posting on the arXiv on November29, 2022, the author received email from Wadim Zudilin and George Andrews,pointing out some typos and making some interesting comments. These commentshave been incorporated in this revised submission to the arXiv. Thebibliography in this version is more extensive than that of the original.

Derivation of Identities of the Rogers--Ramanujan Type by the Method of Constant Terms