JULIO REY PASTOR Y LA TEORíA DE SUMACION DE SERIES DIVERGENTES
01 Jan 2001-Vol. 24, Iss: 49, pp 89-118
TL;DR: A few years after its arrival to Buenos Aires in the 1920's, Rey Pastor renewed the publishing of their investigations on mathematical analysis, and he did it in a different subject that in the previous decade he was working as mentioned in this paper.
Abstract: A few years after its arrival to Buenos Aires in the 1920's, Rey Pastor renewed the publishing of their investigations on mathematical analysis, and he did it in a different subject that in the previous decade he was working. The reasons why he forsook the conformal representation and he replaced it by the summability of divergent series, field in which he was active during the period 1928-36, are unknown. In this paper we enlighten about Rey Pastor's interest in divergent series by finding several precedents of his taste for this field. Moreover, we locate his papers about this subject on the general development of the theory in a stage of systematization and dialectic synthesis when it was adjusting oneself to a normal science. Finally, we review the four author's papers which seem its essential between those he wrote on summability of divergent series.
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01 Jan 2009
TL;DR: The rey rey Pastor nacio en Logrono (Espana) el 14 de agosto de 1888 and murio en Buenos Aires (Argentina) el 21 de febrero de 1962.
Abstract: Julio rey Pastor nacio en Logrono (Espana) el 14 de agosto de 1888 y murio en Buenos Aires (Argentina) el 21 de febrero de 1962. Fue el mayor de los tres hijos, todos varones, de un matrimonio celebrado en Logrono entre un militar malagueno (de Tolox) y una riojana (de Viguera). Hizo el bachillerato en el Instituto Provincial de Logrono con excelentes calificaciones.
01 Jan 2008
TL;DR: A textbook by Rey Pastor on infinitesimal calculus, from the first to the third edition, and several related papers by the same author about the history of the calculus are considered in this paper.
Abstract: A textbook by Rey Pastor on infinitesimal calculus, from the first to the third
edition, and several related papers by the same author about the history of the calculus
are considered. These works were published at Buenos Aires in the period 1921-
1940. The simultaneous interest of the Spanish-Argentine author on both the mathematical
and the historical work is emphasized, and the first mention of Rey Pastor to
P. Mengoli is analyzed.
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01 Jan 1932
TL;DR: In this paper, the integration of Lebesgue-Stieltjes ensembles and operations mesurables is discussed in the context of the Haar Auteurs Cites Index Terminologique.
Abstract: L'integrale de Lebesgue-Stieltjes Ensembles et operations mesurables $(B)$ dans les espaces metriques Groupes Espaces vectoriels generaux Espaces du type $(F)$ Espaces normes Espaces du type $(B)$ Operations totalement continues et associees Suites biorthogonales Fonctionnelles lineaires dans les espaces du type $(B)$ Suites faiblement convergentes d'elements Equations fonctionnelles lineaires Isometrie, equivalence, isomorphie Dimension lineaire Convergence faible dans les espaces du type $(B)$ Remarques Note. Sur la mesure de Haar Auteurs Cites Index Terminologique.
1,210 citations
TL;DR: Divergent series have appeared in mathematics for a long time as mentioned in this paper and have been used widely throughout the 17th and 18th centuries, sometimes with great profit and sometimes without.
Abstract: Divergent series have appeared in mathematics for a long time. They were used widely throughout the 17th and 18th centuries, sometimes with great profit and sometimes without. Many mathematicians who used them were frequently in doubt about their validity while others seemed totally unconcerned. Throughout the period, controversy surrounded the use of divergent series mainly because contradictions were often derived through their application. One of the earliest discussions regarding a divergent series occurred when the infinite series
24 citations
"JULIO REY PASTOR Y LA TEORíA DE SUM..." refers background in this paper
...[TUCCIARONE, 1973] y [FERRARO, 1999] son otras referencias sobre la historia de las series divergentes....
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TL;DR: A travers l'article, l'A. definit la somme des series divergentes en analysant son concept and demontre qu'il a conduit a l'emergence des mathematiques du XX e siecle as mentioned in this paper.
Abstract: A travers l'article, l'A. definit la somme des series divergentes en analysant son concept et demontre qu'il a conduit a l'emergence des mathematiques du XX e siecle
19 citations
"JULIO REY PASTOR Y LA TEORíA DE SUM..." refers background in this paper
...[TUCCIARONE, 1973] y [FERRARO, 1999] son otras referencias sobre la historia de las series divergentes....
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