The Rise and Development of the Theory of Series up to the Early 1820s
The theory of series in the 17th and 18th centuries poses several interesting problems to historians. Most of the results derived from this time were derived using methods which would be found unacceptable today, and as a result, when one looks back to the theory of series prior to Cauchy without re...
Tallennettuna:
| Päätekijä: | |
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| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Painos: | 1st ed. 2008. |
| Sarja: | Sources and Studies in the History of Mathematics and Physical Sciences
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| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
L'impression du document génère 388 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Rise and Development of the Theory of Series up to the Early 1820s, Texte imprimé, 9780387520087 • The rise and development of the theory of series up to the early 1820s, Giovanni Ferraro, 2008, New York, NY, Springer, 1 vol. (xv-389 p.), Sources and studies in the history of mathematics and physical sciences, 978-0-387-73467-5 • The rise and development of the theory of series up to the early 1820s, Giovanni Ferraro, 2008, New York, NY, Springer, 1 vol. (xv-389 p.), Sources and studies in the history of mathematics and physical sciences, 978-0-387-73467-5 |
| Yhteenveto: | The theory of series in the 17th and 18th centuries poses several interesting problems to historians. Most of the results derived from this time were derived using methods which would be found unacceptable today, and as a result, when one looks back to the theory of series prior to Cauchy without reconstructing internal motivations and the conceptual background, it appears as a corpus of manipulative techniques lacking in rigor whose results seem to be the puzzling fruit of the mind of a magician or diviner rather than the penetrating and complex work of great mathematicians. This monograph not only describes the entire complex of 17th and 18th century procedures and results concerning series, but it also reconstructs the implicit and explicit principles upon which they are based, draws attention to the underlying philosophy, highlights competing approaches, and investigates the mathematical context where the theory originated. The aim here is to improve the understanding of the framework of 17th and 18th century mathematics and avoid trivializing the complexity of historical development by bringing it into line with modern concepts and views and by tacitly assuming that certain results belong, in some sense, to a unified theory that has come down to us today. Giovanni Ferraro is Professor of Mathematics and History of Mathematics at University of Molise. |
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| Huomautukset: | L'impression du document génère 388 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Bibliogr. Index |
| ISBN: | 9780387734682 |
| ISSN: | 2196-8829 |
| Pääsy: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |