000			02031nam a2200229 a 4500
003			arcduce
005			20231022200338.0
007			t|
008			090423s1954 nyu||||| |||| 00| 0 eng d
040			_aarcduce _carcduce
082	0		_a517.8
100			_aCaratheodory, Constantin, 1873-1950
245	1	0	_aTheory of functions of a complex variable / _cby C. Caratheodory.
260			_aNew York, N.Y. : _bChelsea, _c1954
300			_a2 v. : _bil.
504			_aIncluye bibliografía
505	0		_av.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
650		4	_aFUNCIONES DE VARIAS VARIABLES COMPLEJAS _93119
650		4	_aNUMEROS COMPLEJOS _91245
942			_cLIBR _j517.8 C 14637 _2ddc
945			_aJLD
999			_c21407 _d21407