Complex function theory / Maurice Heins.
Series Pure and applied mathematics (Academic Press): 28.Editor: New York : Academic Press, 1968Descripción: xv, 416 p. ; 24 cmTema(s): Functions of complex variablesOtra clasificación: 30-01Part I: 1. The real field2. The complex field. Limits3. Topological and metric spaces4. Complex differential analysis5. Cauchy theory6. Laurent expansion. Meromorphic functions7. Further applications of the Cauchy theory8. The zeros and poles of meromorphic functions9. The gamma and zeta functions. Prime number theorem.
Part II: 10. Supplementary developments concerning the complex plane11. Complex differential coefficients12. Topics in the theory of power series13. Harmonic and subharmonic functions14. Complements to the Cauchy theory15. Möbius transformations16. The modular function. The Picard theorems17. Some questions concerning univalent analytic functions18. Riemann surfaces.
Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode |
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Libros | Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 30 H471 (Browse shelf) | Available | A-2943 |
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30 G976 Lectures on Riemann surfaces / | 30 H268 The general theory of Dirichlet's series / | 30 H422 Lectures on meromorphic functions / | 30 H471 Complex function theory / | 30 H484 Lectures on invariant subspaces. | 30 H518 Applied and computational complex analysis / | 30 H651-2 Analytic function theory / |
Bibliografía: p. 394-399.
Part I: 1. The real field -- 2. The complex field. Limits -- 3. Topological and metric spaces -- 4. Complex differential analysis -- 5. Cauchy theory -- 6. Laurent expansion. Meromorphic functions -- 7. Further applications of the Cauchy theory -- 8. The zeros and poles of meromorphic functions -- 9. The gamma and zeta functions. Prime number theorem.
Part II: 10. Supplementary developments concerning the complex plane -- 11. Complex differential coefficients -- 12. Topics in the theory of power series -- 13. Harmonic and subharmonic functions -- 14. Complements to the Cauchy theory -- 15. Möbius transformations -- 16. The modular function. The Picard theorems -- 17. Some questions concerning univalent analytic functions -- 18. Riemann surfaces.
MR, 39 #413
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