TY  - BOOK
AU  - Caratheodory, Constantin, 1873-1950
TI  - Theory of functions of a complex variable
U1  - 517.8 
PY  - 1954///
CY  - New York, N.Y.
PB  - Chelsea
KW  - FUNCIONES DE VARIAS VARIABLES COMPLEJAS
KW  - NUMEROS COMPLEJOS
N1  - Incluye bibliografía; v.1.: Pte. 1. Complex numbers: I. The complex numbers from the algebraic point of view -- II. The geometry of the complex numbers -- III. Euclidean, spherical and non-euclidean geometry -- Pte. 2: Some results from point set theory and from topology: I. Convergent sequences of numbers and continuous complex functions -- II. Curves and regions -- III. Contour integration -- Pte. 3. Analytic functions: I. Foundations of the theory -- II. The maximun-modulus principle -- III. The poissin integral and harmonic functions -- IV. Meromorphic functions -- Pte. 4. Analytic functions defined by limiting processes: I. Continuous convergence -- II. Normal families of meromorphic functions -- III. Power series -- IV. Partial-fraction decomposition and the calculus of residues -- Pte. 5. Special functions: I. The exponential and trigonometric functions -- II. The logarithmic function and the general power function -- III. The bernoulli numbers and the gamma function -- v.2.: Pte. 6. Foudations of geometric function theory: I. Bounded functions -- II. Conformal mapping -- III. The mapping of the boundary -- Pte. 7. The triangle functions and picard's theorem: I. Functions of several complex variables -- II. Conformal maping of circular-arc triangles -- III. The schwarz triangle functions and the modular functions -- IV. The essential singularities and picard's theorems
ER  -