Univ., Diss.--Göttingen, 2005.

Thesis (Ph. D.)--Guo li Taiwan da xue, 1975. / Cover title. Reproduced from typescript ; on double leaves. Includes bibliographical references (p. 321-328).

Thesis (doctoral)--Sorbonne, 1840. / Includes bibliographical references.

Abstract of Thesis (Ph. D.)--University of Illinois, 1930. / Vita. Description based on print version record.

Inaug.-Diss.--Jena. / Vita.

Thesis (Ph. D.)--University of Wisconsin, 1967. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Thesis (Ph. D.)--Guo li Taiwan da xue, 1975. / Cover title. Reproduced from typescript ; on double leaves. Bibliography: p.321-328.

Made available in DSpace on 2014-06-11T19:31:42Z (GMT). No. of bitstreams: 0 Previous issue date: 2005-05-04Bitstream added on 2014-06-13T20:02:45Z : No. of bitstreams: 1 martins_jcg_dr_rcla.pdf: 1204232 bytes, checksum: 1076800f1b73a083b5f84979e3080de1 (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Tem sido unanimidade entre os filósofos da Matemática a compreensão de que as revoluções científicas, na forma como são apresentadas em A Estrutura das Revoluções Científicas, de Thomas S. Kuhn, não ocorrem na Matemática. Este trabalho pretende o contrário: fundado no Modelo Teórico dos Campos Semânticos e tendo a história da Matemática como cenário mais especificamente, a história da Álgebra esta tese foi elaborada para mostrar que a obra Kitab al mukhtasar fi hisab al-jabr wa l-muqabalah, de al- Khwarizmi, inaugura o primeiro período de pesquisa normal no desenvolvimento da Álgebra na Europa, um período altamente cumulativo e extraordinariamente bem sucedido em seus objetivos paradigmáticos e que se estendeu até as décadas iniciais do século XIX. Mostramos, ainda, que a demonstração do, hoje denominado, Teorema Fundamental da Álgebra, por Gauss, e a publicação do trabalho Sobre a resolução algébrica de equações, de Abel, trouxe à luz, na forma de um fato, uma anomalia irresolúvel do primeiro paradigma da Álgebra no Velho Continente. A partir daí, abriu-se um período de pesquisa extraordinária no âmbito dessa disciplina um período revolucionário de onde viria emergir um novo período de pesquisa normal, um novo paradigma para a Álgebra os sistemas algébricos abstratos fundado nas realizações matemáticas de Galois, Peacock e Hamilton. / Thus far, all the Mathematical Philosophers have unanimously agreed that the scientific revolutions, as it is presented in The Structures of the Scientific Revolutions, by Thomas S. Kuhn, do not take place in Mathematics. This paper intends to prove just the opposite: founded on The Theoretical Models of the Semantic Fields and considering the History of Mathematics as the scenery in question more precisely, the History of Algebra this thesis was prepared to show that the work Kitab al mukhtasar fi hisab al-jabr wa l muqabalah, by al-Khwarizmi, gives birth to the first period of normal research in the European development of Algebra, a highly cumulative and extraordinarily well succeeded period in its paradigmatic objectives, which extended until the first decades of the Nineteenth Century. We further show that the proof of the so called The Fundamental Theorem of Algebra, by Gauss, and the publication of Abel's work on The Algebraic Solutions of Equations, brought to light, as a fact, an unsolvable anomaly of the first paradigm of Algebra in the Old Continent which, from there on, caused the beginning of an extraordinary research period in this particular field in fact, a revolutionary period from which would surface a new time of normal research, a new algebraic paradigm the abstract algebraic systems based on the mathematical achievements of Galois, Peacock and Hamilton.

"The choice of a specific subject demanded more thought. The writer's interest in Spanish literature, acquired through previous courses, suggested the possibility of choosing a Spanish author who would be fairly well known to English-speaking readers and who had had some works translated into English. José Ortega y Gasset fulfilled these conditions, and a study of his life and works seemed to this writer a challenging topic. The reading of several of Ortega's works had aroused an interest in his ideas and a desire to know more about his personality and his literary works. The results of this investigation are given in the body of this paper, a bio-bibliographical study. The first section is a brief account of the life of Ortega y Gasset, with emphasis on the events which influenced his thinking and writing. The second section deals with the philosophical concepts of Ortega as expressed in his books. The third section is a bibliography of his works which have been translated into English, giving the theme of each, an indication of the reaction of critics, and a listing of the sources of criticisms. Following is an Appendix listing Ortega's works in Spanish, excluding articles in periodicals and magazines"--Introduction. / Carbon copy of typescript. / "August, 1955." / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Science." / Advisor: Robert Clapp, Professor Directing Paper. / Includes bibliographical references (leaves 51-55).

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