Search results for "01A60"

showing 5 items of 5 documents

Robert de Montessus de Ballore's 1902 theorem on algebraic continued fractions : genesis and circulation

2013

Robert de Montessus de Ballore proved in 1902 his famous theorem on the convergence of Pad\'e approximants of meromorphic functions. In this paper, we will first describe the genesis of the theorem, then investigate its circulation. A number of letters addressed to Robert de Montessus by different mathematicians will be quoted to help determining the scientific context and the steps that led to the result. In particular, excerpts of the correspondence with Henri Pad\'e in the years 1901-1902 played a leading role. The large number of authors who mentioned the theorem soon after its derivation, for instance N\"orlund and Perron among others, indicates a fast circulation due to factors that w…

01A55 01A60[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO]Mathematics - History and Overview[MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO][ MATH.MATH-HO ] Mathematics [math]/History and Overview [math.HO]
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The strange case of Paul Appell's last memoir on Monge's problem: "sur les déblais et remblais"

2016

International audience; We analyze a case of plagiarism that appears in a work published in 1928 by Paul Appell (1855–1930) in the collection Mémorial des sciences mathématiques. Appell's memoir entitled Le problème géométrique des déblais et remblais contains a verbatim copy of several pages from a memoir published in 1886 by Albert de Saint-Germain (1839–1914). By tracing back Appell's last years, we have found historical evidences that might cast a shadow of doubt on Appell's full responsibility by the plagiarism that appeared under his name.

HistoryGeneral Mathematics010102 general mathematicsFrench mathematicsArt historyGeometryPaul Appell16. Peace & justice[ MATH.MATH-HO ] Mathematics [math]/History and Overview [math.HO]MSC: 01A55 01A6001 natural sciencesPlagiarism010305 fluids & plasmasMemoir[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO]0103 physical sciences0101 mathematicsMathematicsShadow (psychology)
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Emigration of mathematicians from outside German-speaking academia 1933-1963, supported by the Society for the Protection of Science and Learning

2012

Author's version of an article published in the journal: Historia Mathematica. Also available from the publisher at: http://dx.doi.org/10.1016/j.hm.2011.08.002 Racial and political persecution of German-speaking scholars from 1933 onward has already been extensively studied. The archives of the Society for the Protection of Science and Learning (SPSL), which are deposited in the Western Manuscripts Collection at the Bodleian Library in Oxford, is a rich source of information about the emigration of European scientists, also those who did not come from German-speaking institutions. This is an account of the support given by the SPSL to the persecuted mathematicians among them. The challenges…

HistoryMathematics(all)General Mathematicsmedia_common.quotation_subject01A60 01A70 01A99 anti-Semitism emigration German-speaking academia persecution SPSLSPSLAnti-Semitismlanguage.human_languageVDP::Mathematics and natural science: 400::Mathematics: 410EmigrationEmigrationGermanPoliticsPolitical scienceXenophobialanguageEconomic historyPersecutionGerman-speaking academiaPersecutionmedia_common
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Toward a scientific and personal biography of Tullio Levi-Civita (1873–1941)

2005

International audience; Tullio Levi-Civita was one of the most important Italian mathematicians in the early part of the 20th century, contributing significantly to a number of research fields in mathematics and physics. In addition, he was involved in the social and political life of his time and suffered severe political and racial persecution during the period of Fascism. He tried repeatedly and in several cases successfully to help colleagues and students who were victims of anti-Semitism in Italy and Germany. His scientific and private life is well documented in the letters and documents contained in his Archive. The authors' aim is to illustrate the events of his life by means of his …

HistoryMathematics(all)General Mathematicsmedia_common.quotation_subjectGeometry01 natural sciences010305 fluids & plasmasPoliticsPrivate lifeTensor calculus0103 physical sciencesThree-body problemLevi-Civita0101 mathematicsmedia_commonMathematics010102 general mathematicsBiography16. Peace & justiceMSC: 01A60 01A70General relativity[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO]HydrodynamicsPeriod (music)ClassicsPersecutionHistoria Mathematica
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The forgotten mathematical legacy of Peano

2019

International audience; The formulations that Peano gave to many mathematical notions at the end of the 19th century were so perfect and modern that they have become standard today. A formal language of logic that he created, enabled him to perceive mathematics with great precision and depth. He described mathematics axiomatically basing the reasoning exclusively on logical and set-theoretical primitive terms and properties, which was revolutionary at that time. Yet, numerous Peano’s contributions remain either unremembered or underestimated.

PeanoPeano's axioms of arithmeticPeano's counterexamplesWeierstrass maximum theoremabstract measuresGeneral MathematicsClosure (topology)tangencyinterioranti-distributive familiesfoundationdefinitions by abstractionlinear differential equationsaxiom of choiceLogical conjunctionPeano axiomsproofFormal languageAxiom of choiceMSC: Primary 01A55 01A6003-03 26-03 28-03 34-03 54-03; Secondary15A75 26A03 26A2426B25 26B05 28A1228A15 28A75.affine exterior algebra[MATH]Mathematics [math]reduction formulaeMathematicsnonlinear differential equationsoptimality conditionsdifferentiation of measuressweeping-tangent theoremPeano's axioms of geometryPeano's filling curvereduction of mathematics to setssurface areaclosuremean value theoremDirichlet functionNonlinear differential equationssubtangentsEpistemologymeasure theoryplanar measurelower and upper limits of setsdistributive familiescompactnessmathematical definitions1886 existence theoremdifferentiabilityDissertationes Mathematicae
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