Analysis II : differential and integral calculus, Fourier series, holomorphic functions
Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonl...
Enregistré dans:
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| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2005. |
| Serier: | Universitext
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| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Analysis II, differential and integral calculus, Fourier series, holomorphic functions, R. Godement, Berlin, Springer, 2005, 1 vol. (VII-443 p.), Universitext, 978-3-540-20921-8 • Analysis II, Texte imprimé, 9783540800828 |
Indholdsfortegnelse:
- Differential and Integral Calculus The Riemann Integral Integrability Conditions The Fundamental Theorem (FT) Integration by parts Taylor s Formula The change of variable formula Generalised Riemann integrals Approximation Theorems Radon measures in ? or ? Schwartz distributions Asymptotic Analysis Truncated expansions Summation formulae Harmonic Analysis and Holomorphic Functions Analysis on the unit circle Elementary theorems on Fourier series Dirichlet s method Analytic and holomorphic functions Harmonic functions and Fourier series From Fourier series to integrals