Thesis--Columbia University. / Without thesis statement. Includes bibliographical references (p. 602-606) and index.

Thesis (Ph. D.)--University of Michigan, 1931. / Cover title. "Reprinted from the Mississippi valley historical review, vol. XX, no. 2, Sept., 1933."

Thesis (Ph. D.)--University of Michigan, 1931. / Cover title. "Reprinted from the Mississippi valley historical review, vol. XX, no. 2, Sept., 1933."

"One of the major professional responsibilities of a school librarian is that of book selection. From the great volume of publications issuing from every publishing company the librarian must choose, within the limitations of his budget, books that meet the needs of his clientele. To select wisely from this wealth of material is not an easy task for it requires a wide knowledge of authors who are acceptable to both adults and young people. To gain this knowledge the librarian must not only read widely but evaluate what he reads as well. He must learn to separate the good from the worthless, always striving to raise the reading levels of the students under his supervision. As a step in the direction of this acquaintance with authors the writer has chosen to study the life and works of one of today's most popular authors of books for girls. Phyllis Whitney is a prolific writer of juvenile books and her contribution to good writing is such as to merit recognition from adults as well as young people"--Introduction. / "August, 1958." / At head of title: Florida State University. / Typescript. / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Arts." / Advisor: Agnes Gregory, Professor Directing Paper. / Includes bibliographical references (leaves 39-43).

O primeiro objetivo deste trabalho é um estudo dos invariantes necessários para determinar condições de Whitney equisingularidade ou trivialidade topollógica para germes de aplicações f : (\'C POT.n+3\' ,0) \'SETA\' (\'C POT.3\',0). São obtidas relações entre os invariantes sem considerar a hipótese de que o germe tenha co-posto 1 e o desdobramento ser excelente, generalizando os resultados obtidos por Jorge Pèrez para germes f : (\'C POT.3\' ,0) \' SETA\' !(\'C POT.3\' ,0) de co-posto 1. Outro problema interessante em teoria de singularidades é encontrar fórmulas para calcular invariantes 0-estáveis que podem surgir no discriminante de uma deformaçãao estável de um germe finitamente determinado. Neste contexto são desenvolvidos métodos de contagem dos invariantes 0-estáveis a partir dos ideais de Fitting associados ao conjunto discriminante de f . Por último, implementamos um algoritmo no software Maple, para determinar a matriz de uma apresentação do \'O IND.m\' módulo finitamente gerado \'O IND.SIGMA( f ). Desta matriz, podemos obter os ideais de definição de todos os conjuntos de pontos múltiplos de f . Além disto apresentamos uma aplicação deste algoritmo no cálculo do número de pontos múltiplos em germes finitamente determinados de \'C POT.2\' em \'C POT.2\' / In the first of this work we study the necessary invariants to give conditions for the Whitney equissingularity or the topological triviality in families of map germs f : (\'C POT. n+3\', 0) \'ARROW\' (\'C POT.3\' ,0). We obtain relations between these invariants without the hypothesis of the germ to be of co-rank 1 and the unfolding to be excelent. We generalize the results given by Jorge Perez in the case co-rank one map germs f : (\'C POIT.3\', 0)!(\'C POT.3\' ,0). Other interesting problem in Singularity Theory is to find formulae which allow us to count the 0-stable singularities which appear in the discriminant of a stable deformation of a finitely determibed germ. In this context are developed methods of calculation of invariant 0-stable from the ideals of fitting associated with the discriminant set of f . Last, but not least we implement an algorithm using Maple to obtain the representation matrix of the finitely generated \'O IND.m\' module \'O IND. SIGMA\'( f ). From this matrix we obtain all Fitting ideals related with the multiple points. Moreover we show how to apply this algorithm to obtain the multiple points of finitely determined map germs f : (\'C POT.2\' ,0) \'ARROW\' (\'C POT.2\', 0)

O primeiro objetivo deste trabalho é um estudo dos invariantes necessários para determinar condições de Whitney equisingularidade ou trivialidade topollógica para germes de aplicações f : (\'C POT.n+3\' ,0) \'SETA\' (\'C POT.3\',0). São obtidas relações entre os invariantes sem considerar a hipótese de que o germe tenha co-posto 1 e o desdobramento ser excelente, generalizando os resultados obtidos por Jorge Pèrez para germes f : (\'C POT.3\' ,0) \' SETA\' !(\'C POT.3\' ,0) de co-posto 1. Outro problema interessante em teoria de singularidades é encontrar fórmulas para calcular invariantes 0-estáveis que podem surgir no discriminante de uma deformaçãao estável de um germe finitamente determinado. Neste contexto são desenvolvidos métodos de contagem dos invariantes 0-estáveis a partir dos ideais de Fitting associados ao conjunto discriminante de f . Por último, implementamos um algoritmo no software Maple, para determinar a matriz de uma apresentação do \'O IND.m\' módulo finitamente gerado \'O IND.SIGMA( f ). Desta matriz, podemos obter os ideais de definição de todos os conjuntos de pontos múltiplos de f . Além disto apresentamos uma aplicação deste algoritmo no cálculo do número de pontos múltiplos em germes finitamente determinados de \'C POT.2\' em \'C POT.2\' / In the first of this work we study the necessary invariants to give conditions for the Whitney equissingularity or the topological triviality in families of map germs f : (\'C POT. n+3\', 0) \'ARROW\' (\'C POT.3\' ,0). We obtain relations between these invariants without the hypothesis of the germ to be of co-rank 1 and the unfolding to be excelent. We generalize the results given by Jorge Perez in the case co-rank one map germs f : (\'C POIT.3\', 0)!(\'C POT.3\' ,0). Other interesting problem in Singularity Theory is to find formulae which allow us to count the 0-stable singularities which appear in the discriminant of a stable deformation of a finitely determibed germ. In this context are developed methods of calculation of invariant 0-stable from the ideals of fitting associated with the discriminant set of f . Last, but not least we implement an algorithm using Maple to obtain the representation matrix of the finitely generated \'O IND.m\' module \'O IND. SIGMA\'( f ). From this matrix we obtain all Fitting ideals related with the multiple points. Moreover we show how to apply this algorithm to obtain the multiple points of finitely determined map germs f : (\'C POT.2\' ,0) \'ARROW\' (\'C POT.2\', 0)

No description available.

Thesis--Auburn University, 2009. / Abstract. Vita. Includes bibliographical references (p. 23).

Thesis (M.A.)--B.Y.U. Graduate Dept. of Religious Instruction.

Thesis (M.A.)--B.Y.U. Graduate Dept. of Religious Instruction. / Electronic thesis. Also available in print ed.