Complex function theory
Maurice Heins.
New York : Academic Press, 1968.
xv, 416 págs. ; 24 cm.
Serie: Pure and applied mathematics, a series of monographs and textbooks ; 28
Bibliografía: p. 394-399.
Reseña: MathSciNet, 39 #413
Contenido
- 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.