Complex analysis : in the spirit of Lipman Bers
This book is intended for a graduate course in complex analysis, where the main focus is the theory of complex-valued functions of a single complex variable. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex...
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| Hlavní autoři: | , , |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Vydání: | 2nd ed. 2013. |
| Edice: | Graduate Texts in Mathematics
245 |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Complex analysis, in the spirit of Lipman Bers, Rubí E. Rodríguez, Irwin Kra, Jane P. Gilman, 2nd edition, 2013, New York, Springer, 1 vol. (XVIII-306 p.), Graduate texts in mathematics, 978-1-4419-7322-1 • Complex analysis, in the spirit of Lipman Bers, Rubí E. Rodríguez, Irwin Kra, Jane P. Gilman, 2nd edition, 2013, New York, Springer, 1 vol. (XVIII-306 p.), Graduate texts in mathematics, 978-1-4419-7322-1 • Complex Analysis, Texte imprimé, 9781441973245 • Complex Analysis, Texte imprimé, 9781489999085 |
Obsah:
- Preface to Second Edition Preface to First Edition Standard Notation and Commonly Used Symbols 1 The Fundamental Theorem in Complex Function Theory 2 Foundations 3 Power Series 4 The Cauchy Theory - A Fundamental Theorem 5 The Cauchy Theory - Key Consequences 6 Cauchy Theory: Local Behavior and Singularities of Holomorphic Functions 7 Sequences and Series of Holomorphic Functions 8 Conformal Equivalence and Hyperbolic Geometry 9 Harmonic Functions 10 Zeros of Holomorphic Functions Bibliographical Notes Bibliography Index