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Full-Text Articles in Mathematics
The Use Of Divergent Series In History, Alina Birca
The Use Of Divergent Series In History, Alina Birca
Theses Digitization Project
In this thesis the author presents a history of non-convergent series which, in the past, played an important role in mathematics. Euler's formula, Stirling's series and Poincare's theory are examined to show the development of asymptotic series, a subdivision of divergent series.
Series Maxime Idoneae Pro Circuli Quadratura Proxime Invenienda, Leonhard Euler
Series Maxime Idoneae Pro Circuli Quadratura Proxime Invenienda, Leonhard Euler
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No abstract provided.
Enodatio Insignis Cuiusdam Paradoxi Circa Multiplicationem Angulorum Observati, Leonhard Euler
Enodatio Insignis Cuiusdam Paradoxi Circa Multiplicationem Angulorum Observati, Leonhard Euler
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No abstract provided.
De Unciis Potestatum Binomii Earumque Interpolatione, Leonhard Euler
De Unciis Potestatum Binomii Earumque Interpolatione, Leonhard Euler
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No abstract provided.
Commentatio In Fractionem Continuam, Qua Illustris La Grange Potestates Binomiales Expressit, Leonhard Euler
Commentatio In Fractionem Continuam, Qua Illustris La Grange Potestates Binomiales Expressit, Leonhard Euler
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No abstract provided.
Methodus Succincta Summas Serierum Infinitarum Per Formulas Differentiales Investigandi, Leonhard Euler
Methodus Succincta Summas Serierum Infinitarum Per Formulas Differentiales Investigandi, Leonhard Euler
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No abstract provided.
De Fractionibus Continuis Wallisii, Leonhard Euler
De Fractionibus Continuis Wallisii, Leonhard Euler
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No abstract provided.
De Seriebus Memorabilibus, Quibus Sinus Et Cosinus Angulorum Multiplorum Exprimere Licet, Leonhard Euler
De Seriebus Memorabilibus, Quibus Sinus Et Cosinus Angulorum Multiplorum Exprimere Licet, Leonhard Euler
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No abstract provided.
Observationes Circa Fractiones Continuas In Hac Forma Contentas S = N/(1+(N+1)/(2+(N+2)/(3+(N+3)/(4+Etc.)))), Leonhard Euler
Observationes Circa Fractiones Continuas In Hac Forma Contentas S = N/(1+(N+1)/(2+(N+2)/(3+(N+3)/(4+Etc.)))), Leonhard Euler
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No abstract provided.
Dilucidationes In Capita Postrema Calculi Mei Differentalis De Functionibus Inexplicabilibus, Leonhard Euler
Dilucidationes In Capita Postrema Calculi Mei Differentalis De Functionibus Inexplicabilibus, Leonhard Euler
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No abstract provided.
De Serie Maxime Memorabili, Qua Potestas Binomialis Quaecunque Exprimi Potest, Leonhard Euler
De Serie Maxime Memorabili, Qua Potestas Binomialis Quaecunque Exprimi Potest, Leonhard Euler
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No abstract provided.
De Summatione Serierum In Hac Forma Contentarum A/1 + A2/4 + A3/9 + A4/16 + A5/25 + A6/36 + Etc., Leonhard Euler
De Summatione Serierum In Hac Forma Contentarum A/1 + A2/4 + A3/9 + A4/16 + A5/25 + A6/36 + Etc., Leonhard Euler
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No abstract provided.
Demonstratio Insignis Theorematis Numerici Circa Uncias Potestatum Binomialium, Leonhard Euler
Demonstratio Insignis Theorematis Numerici Circa Uncias Potestatum Binomialium, Leonhard Euler
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No abstract provided.
Disquitiones Analyticae Super Evolutione Potestatis Trinomialis (1+X+Xx)N, Leonhard Euler
Disquitiones Analyticae Super Evolutione Potestatis Trinomialis (1+X+Xx)N, Leonhard Euler
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No abstract provided.
De Evolutione Potestatis Polynomialis Cuiuscunque (1 + X + X2 + X3 + X4 + Etc.)N, Leonhard Euler
De Evolutione Potestatis Polynomialis Cuiuscunque (1 + X + X2 + X3 + X4 + Etc.)N, Leonhard Euler
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No abstract provided.
Specimen Transformationis Singularis Serierum, Leonhard Euler
Specimen Transformationis Singularis Serierum, Leonhard Euler
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No abstract provided.
Methodus Facilis Inveniendi Series Per Sinus Sosinusve Angulorum Multiplorum Procedentes, Quarum Usus In Universa Theoria Astronomiae Est Amplissimus, Leonhard Euler
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No abstract provided.
De Novo Genere Serierum Rationalium Et Valde Convergentium, Quibus Ratio Peripheriae Ad Diametrum Exprimi Potest, Leonhard Euler
De Novo Genere Serierum Rationalium Et Valde Convergentium, Quibus Ratio Peripheriae Ad Diametrum Exprimi Potest, Leonhard Euler
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No abstract provided.
Disquisitio Ulterior Super Seriebus Secundum Multipla Cuiusdam Anguli Progredientibus, Leonhard Euler
Disquisitio Ulterior Super Seriebus Secundum Multipla Cuiusdam Anguli Progredientibus, Leonhard Euler
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No abstract provided.
Investigatio Quarundam Serierum, Quae Ad Rationem Peripheriae Circuli Ad Diametrum Vero Proxime Definiendam Maxime Sunt Accommodatae, Leonhard Euler
Investigatio Quarundam Serierum, Quae Ad Rationem Peripheriae Circuli Ad Diametrum Vero Proxime Definiendam Maxime Sunt Accommodatae, Leonhard Euler
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No abstract provided.
De Radicibus Aequationis Infinitae 0 = 1 – Xx/(N(N+1)) + X4/(N(N+1)(N+2)(N+3)) – X6/(N.....(N+5)) + Etc., Leonhard Euler
De Radicibus Aequationis Infinitae 0 = 1 – Xx/(N(N+1)) + X4/(N(N+1)(N+2)(N+3)) – X6/(N.....(N+5)) + Etc., Leonhard Euler
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No abstract provided.
Dilucidationes Super Formulis, Quibus Sinus Et Cosinus Angulorum Multiplorum Exprimi Solent, Ubi Simul Ingentes Difficultates Diluuntur, Leonhard Euler
Dilucidationes Super Formulis, Quibus Sinus Et Cosinus Angulorum Multiplorum Exprimi Solent, Ubi Simul Ingentes Difficultates Diluuntur, Leonhard Euler
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No abstract provided.
Exercitatio Analytica, Ubi Imprimis Seriei Maxime Generalis Summatio Traditur, Leonhard Euler
Exercitatio Analytica, Ubi Imprimis Seriei Maxime Generalis Summatio Traditur, Leonhard Euler
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No abstract provided.
Plenior Expositio Serierum Illarum Memorabilium, Quae Ex Unciis Potestatum Binomii Formantur, Leonhard Euler
Plenior Expositio Serierum Illarum Memorabilium, Quae Ex Unciis Potestatum Binomii Formantur, Leonhard Euler
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No abstract provided.
Variae Considerationes Circa Series Hypergeometricas, Leonhard Euler
Variae Considerationes Circa Series Hypergeometricas, Leonhard Euler
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No abstract provided.
Exercitatio Analytica, Leonhard Euler
Exercitatio Analytica, Leonhard Euler
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No abstract provided.
De Termino Generali Serierum Hypergeometricarum, Leonhard Euler
De Termino Generali Serierum Hypergeometricarum, Leonhard Euler
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No abstract provided.
Observationes Generales Circa Series, Quarum Termini Secundum Sinus Vel Cosinus Angulorum Multiplorum Progrediuntur, Leonhard Euler
Observationes Generales Circa Series, Quarum Termini Secundum Sinus Vel Cosinus Angulorum Multiplorum Progrediuntur, Leonhard Euler
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No abstract provided.
De Singulari Ratione Differentiandi Et Intagrandi, Quae In Summis Serierum Occurrit, Leonhard Euler
De Singulari Ratione Differentiandi Et Intagrandi, Quae In Summis Serierum Occurrit, Leonhard Euler
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No abstract provided.
De Multiplicatione Angulorum Per Factores Expedienda, Leonhard Euler
De Multiplicatione Angulorum Per Factores Expedienda, Leonhard Euler
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No abstract provided.