Relevant bibliographies by topics / Évariste Galois

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters

Academic literature on the topic 'Évariste Galois'

Author: Grafiati
Published: 4 June 2021
Last updated: 28 January 2023

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Journal articles on the topic "Évariste Galois"

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Perrier, Frédéric. "René Taton et Évariste Galois." Archives Internationales d'Histoire des Sciences 57, no. 159 (December 2007): 641–49. http://dx.doi.org/10.1484/j.arihs.5.101454.

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Radloff, Ivo. "Évariste Galois: Principles and Applications." Historia Mathematica 29, no. 2 (May 2002): 114–37. http://dx.doi.org/10.1006/hmat.2001.2337.

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Lott, Johnny W., and Mazic Jenkins. "By Way of Introduction." Teaching Children Mathematics 1, no. 6 (February 1995): 320–21. http://dx.doi.org/10.5951/tcm.1.6.0320.

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Viganò, Luca. "Évariste Galois, a tragic romantic hero." Journal of Science Communication 02, no. 04 (December 21, 2003): C01. http://dx.doi.org/10.22323/2.02040301.

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Sawilowsky, Shlomo S., and John L. Cuzzocrea. "Joseph Liouville’s ‘Mathematical Works Of Évariste Galois’." Journal of Modern Applied Statistical Methods 5, no. 2 (November 1, 2005): 589–92. http://dx.doi.org/10.22237/jmasm/1162355460.

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Wells, Cacey. "A Life Cut Short." Journal of Humanistic Mathematics 11, no. 2 (July 2021): 507. http://dx.doi.org/10.5642/jhummath.202102.35.

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Connecting scholars and students with the human side of mathematics is critical. This poem about Évariste Galois provides a synopsis of his controversial life, while also providing details into his life that some may not be familiar with.
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Cooke, Roger. "Évariste Galois, 1811–1832. By Laura Toti Rigatelli." American Mathematical Monthly 105, no. 3 (March 1998): 284–88. http://dx.doi.org/10.1080/00029890.1998.12004882.

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Adlaj, Semjon. "On the second memoir of Évariste Galois' last letter." Computer Tools in Education, no. 4 (August 30, 2018): 11–26. http://dx.doi.org/10.32603/2071-2340-4-11-26.

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Curtis, Charles W. "The Mathematical Writings of Évariste Galois–A Book Review." Notices of the American Mathematical Society 59, no. 11 (December 1, 2012): 1. http://dx.doi.org/10.1090/noti925.

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Robertson, Edmund F. "The mathematical writings of Évariste Galois (Heritage of European Mathematics)." Bulletin of the London Mathematical Society 44, no. 6 (August 29, 2012): 1303–4. http://dx.doi.org/10.1112/blms/bds069.

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Dissertations / Theses on the topic "Évariste Galois"

1

Ehrhardt, Caroline. "Évariste Galois et la théorie des groupes : fortune et réélaborations (1811-1910)." Paris, EHESS, 2007. http://www.theses.fr/2007EHES0048.

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À travers l'étude de la trajectoire du mathématicien Évariste Galois et de la constitution de la théorie des groupes au XIXe siècle, cette thèse étudie dans un même mouvement le processus d'assimilation d'une œuvre à travers les réélaborations qui en sont faites et celui de la naissance posthume d'un personnage comme mathématicien maudit. Cette enquête s'inscrit d'abord dans le temps court de la biographie pour comprendre ce qui fait l'hétérodoxie du travail de Galois en situant celui-ci dans les pratiques et les normes instituées par l'Académie des sciences des années
The thrust of this dissertation is to study the short career of the mathematician Evariste Galois and the 19th century history of the theory that bears his name. My objective is to try to understand the process whereby a mathematical work is assimilated and woven into the fabric of mathematics -a process that involved both the construction of Galois' work by subsequent mathematicians and the rise of representations of Galois as a mathematician maudit. This investigation starts with an analysis of Galois' interaction with the Pari sian mathematical community in the 1830s, in light of the prevailing mathematical methodology at the time and the scientific norms adopted by the Académie des Sciences. The second part of this dissertation analyses the dialogue between European mathematicians between 1850 and 1870, showing how they read and interpreted Galois's work. Finally, this dissertation moves on to trace the integration of Galois's work as a unified theory into the body of mathematics
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Crespo, Vicente Teresa. "Sobre el problema de inmersión de la Teoría de Galois." Doctoral thesis, Universitat de Barcelona, 1988. http://hdl.handle.net/10803/21789.

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Se estudian en esta memoria dos aspectos del problema de inmersión de la Teoría de Galois: la existencia de soluciones con condiciones prefijadas sobre la ramificación (capítulos I y II-1) y la construcción efectiva de soluciones (capítulos II-2, II-3 y III). En el capítulo I se revisa primeramente la Teoría de Galois sobre esquemas. Obtenemos que todo recubrimiento principal de un esquema conexo “X” es suma directa de recubrimientos galoisianos de X, isomorfos, generalizando así el resultado de Hasse relativo a la estructura de las galoisianas sobre un cuerpo. El estudio del concepto de recubrimiento de un esquema conexo nos permite plantear el problema de inmersión sobre esquemas. Traduciendo a este lenguaje el problema de inmersión sobre un cuerpo de números, con conjunto de ramificación prefijado, se observa que la obstrucción a la resolubilidad de este problema viene dada por un elemento de un grupo de cohomología étale. Esto nos permite obtener condiciones para que, de la resolubilidad de un problema de inmersión sobre un cuerpo de números “K”, dado por una extensión de grupos central, con núcleo abeliano, pueda deducirse la existencia de soluciones, con conjunto de ramificación prefijado. Dichas condiciones se expresan en términos de número de clases de ideales del anillo de enteros del cuerpo K. En el capítulo II nos planteamos si, para un problema de inmersión del tipo considerado en el capítulo anterior, puede obtenerse un cuerpo solución sin aumentar el conjunto de ramificación. Para ello, se estudia previamente la variedad de las soluciones con conjunto de ramificación prefijado a un problema de inmersión sobre un cuerpo de números. El objetivo del capítulo III es construir explícitamente las soluciones a problemas de inmersión dados por extensiones espinoriales.
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Books on the topic "Évariste Galois"

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M, Neumann Peter, ed. The mathematical writings of Évariste Galois. Zürich: European Mathematical Society, 2011.

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Évariste Galois: La fabrication d'une icône mathématique. Paris: Éditions de l'École des hautes études en sciences sociales, 2011.

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Dupoux, Julien. Évariste Galois - mathématiques et révolution. LIB THEATRALE, 2013.

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Book chapters on the topic "Évariste Galois"

1

Escofier, Jean-Pierre. "The Life of Évariste Galois." In Graduate Texts in Mathematics, 219–25. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0191-2_13.

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"Évariste Galois." In Les mathématiques en images, 122. EDP Sciences, 2020. http://dx.doi.org/10.1051/978-2-7598-1899-0.c046.

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"VI.41 Évariste Galois." In The Princeton Companion to Mathematics, 767–68. Princeton University Press, 2010. http://dx.doi.org/10.1515/9781400830398.767b.

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Alexander, Amir. "From Voyagers to Martyrs." In Circles Disturbed. Princeton University Press, 2012. http://dx.doi.org/10.23943/princeton/9780691149042.003.0001.

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This chapter traces the history of mathematics, from the late sixteenth century to the present, through the lens of mathematical stories. The period is divided into three main epochs and a possible fourth, each characterized by a different dominant mathematical story, which in turn is related to a different dominant mathematical style. Each period reveals one or several dominant narratives that enjoyed wide currency not only among the broader population but also among practicing mathematicians. The chapter examines the transition of mathematics from the older narratives, spanning the Enlightenment and the exploration mathematics periods, to the time of tragic mathematical heroes such as Évariste Galois and Georg Cantor.
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Katz, Victor J., and Karen Hunger Parshall. "Understanding the Properties of “Numbers”." In Taming the Unknown. Princeton University Press, 2014. http://dx.doi.org/10.23943/princeton/9780691149059.003.0013.

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This chapter looks at how mathematicians sought to understand the properties of “numbers” and in doing so pave the way for modern algebra. As mathematicians in the eighteenth and nineteenth centuries struggled to understand what Fermat's alleged proof of his so-called “last theorem” might have been, they, as well as others motivated by issues other than Fermat's work, eventually came to extend the notion of “number.” And, they did this in much the same spirit that Évariste Galois had extended that of “domain of rationality” or field, that is, through the creation and analysis of whole new types of algebraic systems. This freedom to create and explore new systems—and new algebraic constructs like the determinants and matrices that were encountered in the previous chapter—became one of the hallmarks of the modern algebra that developed into the twentieth century.
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Faidit, Jean-Michel. "Évariste Galois et son premier article dans les Annales de Mathématiques de Gergonne." In Les langues savantes, 57–67. Éditions du Comité des travaux historiques et scientifiques, 2017. http://dx.doi.org/10.4000/books.cths.537.

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