A complex analysis problem book
This is a collection of exercises in the theory of analytic functions, with completed and detailed solutions. We wish to introduce the student to applications and aspects of the theory of analytic functions not always touched upon in a first course. Using appropriate exercises show the students some...
שמור ב:
| מחבר ראשי: | |
|---|---|
| פורמט: | Livre numérique |
| שפה: | Anglais |
| יצא לאור: |
Basel :
Springer Basel
2011.
Cham : Springer Nature |
| נושאים: | |
| גישה מקוונת: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| הערה: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A complex analysis problem book, Daniel Alpay, 2011, Basel, Birkhäuser, Springer, 1 vol. (X-526 p.), 978-3-03-480077-8 • A Complex Analysis Problem Book, Texte imprimé, 9783034800792 |
| LEADER | 03331nam a22003737a 4500 | ||
|---|---|---|---|
| 001 | 973604 | ||
| 008 | 111115s2011 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN156319039 | ||
| 020 | |a 9783034800785 | ||
| 020 | |a 9783034800785 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.9 | ||
| 084 | |a 30-01. 2010 | ||
| 100 | 1 | |a Alpay, Daniel, |d 1956- | |
| 245 | 1 | 0 | |a A complex analysis problem book |c by Daniel Alpay. |
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c 2011. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Prologue -- I Complex numbers -- 1 Complex numbers: algebra -- 2 Complex numbers: geometry -- 3 Complex numbers and analysis -- 4. Remarks and generalizations: quaternions, etc -- II Functions of a complex variable -- 5 C-differentiable functions -- 6 Cauchy's theorem -- 7 First applications -- 8 Laurent expansions and applications -- 9 Computations of definite integrals -- 10 Harmonic functions -- 11 Conformal mappings.-III Complements -- 12 Some useful theorems -- 13 Some topology -- References -- Index. | |
| 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. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This is a collection of exercises in the theory of analytic functions, with completed and detailed solutions. We wish to introduce the student to applications and aspects of the theory of analytic functions not always touched upon in a first course. Using appropriate exercises show the students some aspects of what lies beyond a first course in complex variables. We also discuss topics of interest for electrical engineering students (for instance, the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). Examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space) are given. The book also includes a part where relevant facts from topology, functional analysis and Lebesgue integration are reviewed. | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Nombres complexes | ||
| 760 | 0 | |t Mathematics and Statistics | |
| 776 | 0 | |0 157062570 |t A complex analysis problem book |f Daniel Alpay |d 2011 |c Basel |n Birkhäuser |n Springer |p 1 vol. (X-526 p.) |z 978-3-03-480077-8 | |
| 776 | 0 | |t A Complex Analysis Problem Book |b Texte imprimé |z 9783034800792 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-0348-0078-5 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-MVDWJDLD-7 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:75061062X |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-3-0348-0078-5 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753969939 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-3-0348-0078-5 |z Accès INSA CVL | |
| 997 | |0 973604 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||