Titre : | Complex analysis |
Type de document : | texte imprimé |
Auteurs : | Joseph BAK ; Donald J. NEWMAN |
Mention d'édition : | 3rd ed. |
Editeur : | New York : Springer |
Année de publication : | 2017 |
Importance : | 328 p. |
ISBN/ISSN/EAN : | 978-1-441-97287-3 |
Note générale : | Prefaces
Contents
Answers
References
Appendices
Index |
Catégories : | Analyse mathématique Fonctions analytiques Fonctions de plusieurs variables complexes Fonctions harmoniques
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Index. décimale : | 515 Analyse |
Résumé : | The Complex Numbers
Functions of the Complex Variable z
Analytic Functions
Line Integrals and Entire Functions
Properties of Entire Functions
Further Properties of Analytic Functions
Simply Connected Domains
Isolated Singularities of an Analytic Function
The Residue Theorem
Applications of the Residue Theorem to the Evaluation of Integrals and Sums
Further Contour Integral Techniques
Introduction to Conformal Mapping
The Riemann Mapping Theorem
Maximum-Modulus Theorems for Unbounded Domains
Hamonic Functions
Different Forms of Analytic Functions
Analytic Continuation; The Gamma and Zeta Functions
Applications to Other Areas of Mathematics
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