Show simple item record

Files in this item

Thumbnail

Item metadata

dc.contributor.advisorTurnbull, Herbert Westren
dc.contributor.authorWallace, Andrew Hugh
dc.coverage.spatial133 leavesen_US
dc.date.accessioned2017-07-14T14:16:06Z
dc.date.available2017-07-14T14:16:06Z
dc.date.issued1949-04
dc.identifieruk.bl.ethos.720251
dc.identifier.urihttps://hdl.handle.net/10023/11212
dc.description.abstractThe theme of this paper is the unification of two theories which arose and were developed independently of one another in the latter part of the 19th century and the beginning of the 20th, namely the theory of series expansion of rational integral functions of several sets of variables, homogeneous in the variables of each set, that is the series expansion of algebraic forms in several sets of variables, and the theory of induces linear transformations, or invariant matrices. I have divided the work into five chapters of which the first and third are purely historical; Chapter I is an account of various methods, devised before the introduction of the ideas of standard order and standard tableaux, of forming series expansions of algebraic forms, while Chapter III is mainly occupied by an account of Schnur’s work on invariant matrices. Chapters II, IV and V establish the link between the two theories and, at the expense of one or two points of repetition of definitions, are self-contained and may be read consecutively, more or less without reference to the other two chapters.en_US
dc.language.isoenen_US
dc.publisherUniversity of St Andrewsen
dc.subject.lccQA201.W2
dc.subject.lcshFunctionsen
dc.titleThe theory of rational integral functions of several sets of variables and associated linear transformationsen_US
dc.typeThesisen_US
dc.type.qualificationlevelDoctoralen_US
dc.type.qualificationnamePhD Doctor of Philosophyen_US
dc.publisher.institutionThe University of St Andrewsen_US


This item appears in the following Collection(s)

Show simple item record