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...
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| Главный автор: | |
|---|---|
| Другие авторы: | |
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Редактирование: | 1st ed. 2005. |
| Серии: | Universitext
|
| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
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 |
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| 084 | |a 26-01. 2000 | ||
| 084 | |a 30-01. 2000 | ||
| 100 | 1 | |a Godement, Roger, |d 1921-2016. | |
| 245 | 1 | 0 | |a Analysis II : |b differential and integral calculus, Fourier series, holomorphic functions |c R. Godement ; [translator Philip Spain]. |
| 250 | |a 1st ed. 2005. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas over calculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words. The French edition in four volumes, published from 1998, has met with resounding success: the first two volumes are now available in English | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Séries de Fourier | ||
| 650 | |a Fonctions holomorphes | ||
| 700 | 1 | |a Spain, Philip G., |d 19..- |4 trl | |
| 776 | 0 | |0 094345333 |t Analysis II |o differential and integral calculus, Fourier series, holomorphic functions |f R. Godement |c Berlin |n Springer |d 2005 |p 1 vol. (VII-443 p.) |s Universitext |z 978-3-540-20921-8 | |
| 776 | 0 | |t Analysis II |b Texte imprimé |z 9783540800828 | |
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