Files in this item
The theory of rational integral functions of several sets of variables and associated linear transformations
Item metadata
dc.contributor.advisor | Turnbull, Herbert Westren | |
dc.contributor.author | Wallace, Andrew Hugh | |
dc.coverage.spatial | 133 leaves | en_US |
dc.date.accessioned | 2017-07-14T14:16:06Z | |
dc.date.available | 2017-07-14T14:16:06Z | |
dc.date.issued | 1949-04 | |
dc.identifier | uk.bl.ethos.720251 | |
dc.identifier.uri | https://hdl.handle.net/10023/11212 | |
dc.description.abstract | The 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.iso | en | en_US |
dc.publisher | University of St Andrews | en |
dc.subject.lcc | QA201.W2 | |
dc.subject.lcsh | Functions | en |
dc.title | The theory of rational integral functions of several sets of variables and associated linear transformations | en_US |
dc.type | Thesis | en_US |
dc.type.qualificationlevel | Doctoral | en_US |
dc.type.qualificationname | PhD Doctor of Philosophy | en_US |
dc.publisher.institution | The University of St Andrews | en_US |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.