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Numerous scientists have taken part in the war effort during World War I, but few gave it the passionate energy of the prominent Italian mathematician Volterra. As a convinced supporter of the cause of Britain and France, he struggled vigorously to carry Italy into the war in May 1915 and then developed a frenetic activity to support the war effort, going himself to the front, even though he was 55. This activity found an adequate echo with his French colleagues Borel, Hadamard and Picard. The huge correspondence they exchanged during the war, gives an extraordinary view of these activities, and raises numerous fundamental questions about the role of a scientist, and particularly a mathematician during WW I. It also offers a vivid documentation about the intellectual life of the time ; Volterra’s and Borel’s circles in particular were extremely wide and the range of their interests was not limited to their field of specialization. The book proposes the complete transcription of the aforementioned correspondence, annotated with numerous footnotes to give details on the contents. It also offers a general historical introduction to the context of the letters and several complements on themes related to the academic exchanges between France and Italy during the war.
Letters. --- Mathematicians --France --20th century --Correspondence. --- Mathematicians --Italy --20th century --Correspondence. --- Volterra, Vito, --1860-1940 --Correspondence. --- Mathematicians --- Mathematics - General --- Mathematics --- Physical Sciences & Mathematics --- History. --- Math --- Mathematics. --- History of Mathematical Sciences. --- History of Science. --- History, general. --- Science --- Scientists --- Annals --- Auxiliary sciences of history --- Volterra, Vito, --- Volterra, V.
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Martingales (Mathematics) --- Martingales (Matemàtica) --- Processos estocàstics --- Stochastic processes
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This book is a consequence of the international meeting organized in Marseilles in November 2018 devoted to the aftermath of the Great War for mathematical communities. It features selected original research presented at the meeting offering a new perspective on a period, the 1920s, not extensively considered by historiography. After 1918, new countries were created, and borders of several others were modified. Territories were annexed while some countries lost entire regions. These territorial changes bear witness to the massive and varied upheavals with which European societies were confronted in the aftermath of the Great War. The reconfiguration of political Europe was accompanied by new alliances and a redistribution of trade -- commercial, intellectual, artistic, military, and so on -- which largely shaped international life during the interwar period. These changes also had an enormous impact on scientific life, not only in practice, but also in its organization and communication strategies. The mathematical sciences, which from the late 19th century to the 1920s experienced a deep disciplinary evolution, were thus facing a double movement, internal and external, which led to a sustainable restructuring of research and teaching. Concomitantly, various areas such as topology, functional analysis, abstract algebra, logic or probability, among others, experienced exceptional development. This was accompanied by an explosion of new international or national associations of mathematicians with for instance the founding, in 1918, of the International Mathematical Union and the controversial creation of the International Research Council. Therefore, the central idea for the articulation of the various chapters of the book is to present case studies illustrating how in the aftermath of the war, many mathematicians had to organize their personal trajectories taking into account the evolution of the political, social and scientific environment which had taken place at the end of the conflict.
Pure sciences. Natural sciences (general) --- wetenschapsgeschiedenis --- Mathematics --- Mathematicians --- Reconstruction (1914-1939) --- Mathématiques --- Mathématiciens --- Reconstruction, 1914-1939 --- History --- Professional relationships --- Histoire --- Relations professionnelles --- 1900-1999 --- Reconstrucció, 1914-1939 --- Història de la matemàtica --- History. --- Europa --- Història de la ciència --- Matemàtica --- Reconstrucció després de la Primera Guerra Mundial --- Problemes socials --- Relacions internacionals --- Math --- Science --- Estats i territoris --- Euràsia --- Alps --- Camí de Sant Jaume --- Corredor Mediterrani --- Danubi (Europa : Curs d'aigua) --- Europa central --- Europa de l'Est --- Europa del Nord --- Europa del Sud --- Europa occidental --- Països de la Unió Europea --- Rin (Europa : Curs d'aigua) --- Roine (Europa : Curs d'aigua) --- Tràcia (Regió històrica)
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This book is a consequence of the international meeting organized in Marseilles in November 2018 devoted to the aftermath of the Great War for mathematical communities. It features selected original research presented at the meeting offering a new perspective on a period, the 1920s, not extensively considered by historiography. After 1918, new countries were created, and borders of several others were modified. Territories were annexed while some countries lost entire regions. These territorial changes bear witness to the massive and varied upheavals with which European societies were confronted in the aftermath of the Great War. The reconfiguration of political Europe was accompanied by new alliances and a redistribution of trade -- commercial, intellectual, artistic, military, and so on -- which largely shaped international life during the interwar period. These changes also had an enormous impact on scientific life, not only in practice, but also in its organization and communication strategies. The mathematical sciences, which from the late 19th century to the 1920s experienced a deep disciplinary evolution, were thus facing a double movement, internal and external, which led to a sustainable restructuring of research and teaching. Concomitantly, various areas such as topology, functional analysis, abstract algebra, logic or probability, among others, experienced exceptional development. This was accompanied by an explosion of new international or national associations of mathematicians with for instance the founding, in 1918, of the International Mathematical Union and the controversial creation of the International Research Council. Therefore, the central idea for the articulation of the various chapters of the book is to present case studies illustrating how in the aftermath of the war, many mathematicians had to organize their personal trajectories taking into account the evolution of the political, social and scientific environment which had taken place at the end of the conflict.
Pure sciences. Natural sciences (general) --- wetenschapsgeschiedenis --- Mathematics --- Mathematicians --- Reconstruction (1914-1939) --- Mathématiques --- Mathématiciens --- Reconstruction, 1914-1939 --- History --- Professional relationships --- Histoire --- Relations professionnelles --- 1900-1999 --- History. --- Europa --- Reconstrucció, 1914-1939 --- Història de la matemàtica
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The fascinating correspondence between Paul Lévy and Maurice Fréchet spans an extremely active period in French mathematics during the twentieth century. The letters of these two Frenchmen show their vicissitudes of research and passionate enthusiasm for the emerging field of modern probability theory. The letters cover various topics of mathematical importance including academic careers and professional travels, issues concerning students and committees, and the difficulties both mathematicians met to be elected to the Paris Academy of Sciences. The technical questions that occupied Lévy and Fréchet on almost a daily basis are the primary focus of these letters, which are charged with elation, frustration and humour. Their mathematical victories and setbacks unfolded against the dramatic backdrop of the two World Wars and the occupation of France, during which Lévy was obliged to go into hiding. The clear and persistent desire of these mathematicians to continue their work whatever the circumstance testifies to the enlightened spirit of their discipline which was persistent against all odds. The book contains a detailed and comprehensive introduction to the central topics of the correspondence. The original text of the letters are also annotated by numerous footnotes for helpful guidance. Paul Lévy and Maurice Fréchet will be useful to anybody interested in the history of mathematics in the twentieth century and, in particular, the birth of modern pr obability theory.
History & Archaeology --- History - General --- History. --- Functional analysis. --- Probabilities. --- Mathematics. --- Social sciences. --- Mathematical physics. --- History of Science. --- Probability Theory and Stochastic Processes. --- Functional Analysis. --- Mathematical Physics. --- Mathematics in the Humanities and Social Sciences. --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Annals --- Auxiliary sciences of history --- Mathematics --- History --- Behavioral sciences --- Human sciences --- Sciences, Social --- Social science --- Social studies --- Civilization --- Math --- Science --- Physical mathematics --- Physics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk
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Mathématicien russe, prêtre orthodoxe, déporté et mort au goulag au début du vingtième siècle, Paul Florenski conçoit les mathématiques comme une science de l’être humain. Sa synthèse philosophico-mathématique s’inspire notamment des idées de théorie des ensembles pour non seulement comprendre le monde, mais plus radicalement façonner les phénomènes et fonder la culture spirituelle pour les générations futures. Cette démarche l’amène à relire les intuitions mathématiques comme une forme de spiritualité qui rend capable de comprendre la finitude du monde. Russian mathematician, Orthodox priest, deported to the Gulag and dead at the beginning of the XXth century, Paul Florenski conceives mathematics as a human science. His philosophical and mathematical synthesis is grounded on the set theory not only in order to understand the world, but more deeply to even shape phenomena and pin the future spiritual culture for next generation. This approach involves understanding mathematical intuitions as a spiritual form, which enable to perceive directly world in its finitude. Matématico ruso, sacerdote ortodoxo, deportado y murto en los campos del gulag al principio del siglo XX, Paul Florenski concibe las mathematicas como una ciencia humana. Sua filosófico-mathematica síntesis se funde primordialmente sobre la teoría de los conjuntos no solo para comprender el mundo, pero también para más radicalemente moldear los fenómenos y fundar une cultura espiritual para las generaciones futuras. Esta atención a las intuiciones mathematicas lleva a considerar geometría y algebra como una forma de espiritualidad, que hace capaz de entender la finitud del mundo.
History & Philosophy Of Science --- mathématiques --- Russie --- spiritualité --- cosmologie --- symbole --- mathematics --- Russia --- spirituality --- cosmology --- symbol --- matemáticas --- Rusia --- espiritualidad --- cosmología --- símbolo
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The contributions in this proceedings volume offer a new perspective on the mathematical ties between France and Italy, and reveal how mathematical developments in these two countries affected one another. The focus is above all on the Peninsula’s influence on French mathematicians, counterbalancing the historically predominant perception that French mathematics was a model for Italian mathematicians. In the process, the book details a subtle network of relations between the two countries, where mathematical exchanges fit into the changing and evolving framework of Italian political and academic structures. It reconsiders the issue of nationalities in all of its complexity, an aspect often neglected in research on the history of mathematics. The works in this volume are selected contributions from a conference held in Lille and Lens (France) in November 2013 on Images of Italian Mathematics in France from Risorgimento to Fascism. The authors include respected historians of mathematics, philosophers of science, historians, and specialists for Italy and intellectual relations, ensuring the book will be of great interest to their peers.
Mathematics. --- History. --- History of Mathematical Sciences.
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Mathematics --- Mathematicians --- Mathématiques --- Mathématiciens --- History --- Correspondence. --- Histoire --- Correspondance --- Fréchet, Maurice, --- Lévy, Paul,
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Comment les mathématiciens ont-ils mis leurs compétences, leurs connaissances et leur renommée au service de l’action militaire lors de différents conflits des XIXe et XXe siècles ? Leur intervention a pu être déclinée de bien des façons et se faire de manière plus ou moins volontaire, et avec des convictions variables, allant de l’engagement total jusqu’au refus de toute compromission. Le présent livre, issu d’un colloque tenu à Paris en février 2012 à l’Institut des sciences de la communication du CNRS (ISCC), se concentre sur différents modes d’implication des mathématiciens dans les guerres des deux derniers siècles.
War and mathematics --- Mathematicians --- Mathematics --- Attitudes --- Political activity --- History --- Math --- Science --- Scientists --- Mathematics and war --- mathématiques --- communication --- guerre --- histoire militaire
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