The first international conference on "Theory and Applications of Moment Methods in Many-Fermion Systems" was held September 10 - 13, 1979 at Iowa State University. Manuscripts of the invited talks presented at this conference are the contents of this volume. These manuscripts were prepared and delivered to the editors by the authors; the responsibility for any errors in scientific con tent is theirs. While we, the editors, have made every effort to keep this volume as free from typographical errors as possible, we accept responsibility for such errors as do occur, even those which may be...