Skip to main content

Développements tayloriens généralisés Formule sommatoire d'Euler-Maclaurin

  • Chapter
Functions de variable réelle
  • 1788 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 59.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. I. Newton, in St. P. Rigaud, Correspondence of scientfic men, Oxford, 1841, t. II, p. 309–310.

    Google Scholar 

  2. J. Bernoulli, Ars conjectandi, Bâle, 1713.

    Google Scholar 

  3. L. Euler, Opera omnia (1); t. XIV; Commentationes analyticae..., Leipzig-Berlin (Teubner), 1924: a) Methodus generalis summandi progressiones, p. 42–72 (= Comm. Acad. petrop., t. VI (1732–33)); b) De summis serierum reciprocarum, p. 73–86 (= Comm. Acad. petrop., t. VI1 (1734–35)); c) De progressionibus harmonicis observationes, p. 87–100 (ibid.); d) Inventio summae cujusque seriei..., p. 108–123 (= Comm. Acad. petrop., t. VIII (1736)); e) De summis serierum reciprocarum... dissertatio altera..., p. 138–155 (= Misc. Berol., t. VI1 (1743)); f) Consideratio progressionis..., p. 350–363 (= Comm. Acad. petrop., t. XI (1739)); g) De seriebus quibusdam considerationes, p. 407–462 (= Comm. Acad. petrop., t. XII (1740)).

    Google Scholar 

  4. C. Maclaurin, A complete treatise of fluxions, Edimburgh, 1742.

    Google Scholar 

  5. A.L. Cauchy: a) Cours d'Analyse de L'Ecole Royale Polytechnique 1re partie, 1821 (= Œuvres, (2), t. III, Paris (Gauthier-Villars), 1897); b) Œuvres, (l), t. VIII, p. 18–25, Paris (Gauthier-Villars), 1893.

    Google Scholar 

  6. N.H. Abel, Œuvres, t. II, p. 197–205, éd. Sylow et Lie, Christiania, 1881.

    Google Scholar 

  7. P. du Bois-Reymond: a) Sur la grandeur relative des infinis des fonctions, Ann. di Mat. (2), t. IV (1871), p. 338–353; b) Ueber asymptotische Werthe, infinitäre Approximationen und infinitäre Auflösung von Gleichungen, Math. Ann., t. VIII (1875), p. 362–414.

    Google Scholar 

  8. H. Poincaré, Sur les intégrales irrégulières des équations linéaires, Acta Math., t. VIII (1886), p. 295–344.

    Google Scholar 

  9. G.H. Hardy, Orders of infinity, Cambridge tracts, no 12, 2e éd., Cambridge University Press, 1924.

    Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

(2007). Développements tayloriens généralisés Formule sommatoire d'Euler-Maclaurin. In: Functions de variable réelle. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34038-6_6

Download citation

Publish with us

Policies and ethics