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...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Basel :
Springer Basel
2011.
Cham : Springer Nature |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
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 |
Table des matières:
- 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.