L'intégration rapprochée des équations différentielles ordinaires (1671-1914) PDF Download
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Author: Dominique Tournes
Publisher:
ISBN:
Category :
Languages : fr
Pages :
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Author: Dominique Tournes
Publisher:
ISBN:
Category :
Languages : fr
Pages :
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Author: Dominique Tournès
Publisher:
ISBN: 9782284002093
Category :
Languages : fr
Pages : 467
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Author: DOMINIQUE.. TOURNES
Publisher:
ISBN:
Category :
Languages : fr
Pages : 467
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Book Description
DEPUIS TROIS SIECLES, LA THEORIE DES EQUATIONS DIFFERENTIELLES OCCUPE UNE PLACE CENTRALE AU SEIN DES MATHEMATIQUES. POURTANT, LES HISTORIENS ONT RELATIVEMENT PEU ETUDIE CETTE THEORIE ET, JUSQU'ICI, ILS SE SONT SURTOUT CONSACRES A SES ASPECTS ALGEBRIQUE ET GEOMETRIQUE. DE NOTRE COTE, NOUS AVONS CHOISI DE NOUS CENTRER SUR LE CADRE NUMERIQUE, EN NOUS INTERESSANT A L'HISTOIRE DE L'ANALYSE NUMERIQUE DES EQUATIONS DIFFERENTIELLES ORDINAIRES DE 1671 A 1914. POURQUOI CETTE PERIODE DE REFERENCE ? D'UN COTE, 1671, C'EST L'ANNEE OU NEWTON COMPOSE SON TRAITE SUR LES FLUXIONS ET LES SUITES INFINIES, TEXTE DANS LEQUEL ON TROUVE LA PREMIERE TENTATIVE SYSTEMATIQUE POUR EXPRIMER LA SOLUTION D'UNE EQUATION DIFFERENTIELLE QUELCONQUE SOUS FORME DE SERIE INFINIE. DE L'AUTRE COTE, 1914, C'EST LE TERME TRADITIONNEL QUE LES HISTORIENS FIXENT AU 19EME SIECLE MAIS C'EST AUSSI LE MOMENT PRECIS OU LES RECHERCHES BALISTIQUES ENGENDREES PAR LE PREMIER - PUIS LE SECOND - CONFLIT MONDIAL FONT BASCULER L'ANALYSE NUMERIQUE DANS L'EPOQUE MODERNE, EN PROVOQUANT L'AUTOMATISATION DES CALCULS ET L'APPARITION DES CALCULATEURS ELECTRONIQUES. DE FACON GENERALE, NOUS MONTRONS QUE LES PRINCIPALES METHODES D'APPROXIMATION QUE L'ON PEUT DISTINGUER (METHODE DES SERIES, METHODE DES DIFFERENCES FINIES A PAS SEPARES, METHODE DES APPROXIMATIONS SUCCESSIVES, METHODE DES DIFFERENCES FINIES A PAS LIES, METHODE GRAPHIQUE) NAISSENT ET SE DEVELOPPENT AU SEIN DES MATHEMATIQUES APPLIQUEES, AVEC UN ROLE PREPONDERANT JOUE PAR LA MECANIQUE CELESTE.
Author: Anders Hald
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 832
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Book Description
The long-awaited second volume of Anders Hald's history of the development of mathematical statistics. Anders Hald's A History of Probability and Statistics and Their Applications before 1750 is already considered a classic by many mathematicians and historians. This new volume picks up where its predecessor left off, describing the contemporaneous development and interaction of four topics: direct probability theory and sampling distributions; inverse probability by Bayes and Laplace; the method of least squares and the central limit theorem; and selected topics in estimation theory after 1830. In this rich and detailed work, Hald carefully traces the history of parametric statistical inference, the development of the corresponding mathematical methods, and some typical applications. Not surprisingly, the ideas, concepts, methods, and results of Laplace, Gauss, and Fisher dominate his account. In particular, Hald analyzes the work and interactions of Laplace and Gauss and describes their contributions to modern theory. Hald also offers a great deal of new material on the history of the period and enhances our understanding of both the controversies and continuities that developed between the different schools. To enable readers to compare the contributions of various historical figures, Professor Hald has rewritten the original papers in a uniform modern terminology and notation, while leaving the ideas unchanged. Statisticians, probabilists, actuaries, mathematicians, historians of science, and advanced students will find absorbing reading in the author's insightful description of important problems and how they gradually moved toward solution.
Author: Marcel Detienne
Publisher: Stanford University Press
ISBN: 0804757496
Category : Social Science
Languages : en
Pages : 131
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Book Description
A deliberately post-deconstructionist manifesto against the dangers of incommensurability, Marcel Detienne's book argues for and engages in the constructive comparison of societies of a great temporal and spatial diversity.
Author: Emily Apter
Publisher: Princeton University Press
ISBN: 1400841216
Category : Literary Criticism
Languages : en
Pages : 311
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Book Description
Translation, before 9/11, was deemed primarily an instrument of international relations, business, education, and culture. Today it seems, more than ever, a matter of war and peace. In The Translation Zone, Emily Apter argues that the field of translation studies, habitually confined to a framework of linguistic fidelity to an original, is ripe for expansion as the basis for a new comparative literature. Organized around a series of propositions that range from the idea that nothing is translatable to the idea that everything is translatable, The Translation Zone examines the vital role of translation studies in the "invention" of comparative literature as a discipline. Apter emphasizes "language wars" (including the role of mistranslation in the art of war), linguistic incommensurability in translation studies, the tension between textual and cultural translation, the role of translation in shaping a global literary canon, the resistance to Anglophone dominance, and the impact of translation technologies on the very notion of how translation is defined. The book speaks to a range of disciplines and spans the globe. Ultimately, The Translation Zone maintains that a new comparative literature must take stock of the political impact of translation technologies on the definition of foreign or symbolic languages in the humanities, while recognizing the complexity of language politics in a world at once more monolingual and more multilingual.
Author: Egon Sharpe Pearson
Publisher:
ISBN: 9780852641934
Category : Mathematical statistics
Languages : en
Pages :
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Author: Jacob Bernoulli
Publisher: JHU Press
ISBN: 9780801882357
Category : Mathematics
Languages : en
Pages : 468
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Book Description
"Part I reprints and reworks Huygens's On Reckoning in Games of Chance. Part II offers a thorough treatment of the mathematics of combinations and permutations, including the numbers since known as "Bernoulli numbers." In Part III, Bernoulli solves more complicated problems of games of chance using that mathematics. In the final part, Bernoulli's crowning achievement in mathematical probability becomes manifest he applies the mathematics of games of chance to the problems of epistemic probability in civil, moral, and economic matters, proving what we now know as the weak law of large numbers."
Author: Antti Amatus Aarne
Publisher:
ISBN:
Category :
Languages : en
Pages : 279
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Author: Maria Tatar
Publisher: W. W. Norton
ISBN: 9780393972771
Category : Literary Criticism
Languages : en
Pages : 394
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Book Description
Focusing on six types of tales in variants from around the world, essays explore the genre, cultural implications, and critical history.
