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Theory of functions of a complex variable A. I. Markushevich ; rev. English ed., translated and edited by Richard A. Silverman.
Idioma: Detalles de publicación: New York Chelsea Pub. Co. c1977.Edición: 2nd edDescripción: 3 v. in oneISBN:- 0828402965
- 515/.9
- QA331 .M3713 1977
| Imagen de cubierta | Tipo de ítem | Biblioteca actual | Biblioteca de origen | Colección | Ubicación en estantería | Signatura topográfica | Materiales especificados | Info Vol | URL | Copia número | Estado | Notas | Fecha de vencimiento | Código de barras | Reserva de ítems | Prioridad de la cola de reserva de ejemplar | Reservas para cursos | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Libro | Biblioteca Encarnación Valdés Colección General bev | 515.9 M346t2 I (Navegar estantería(Abre debajo)) | Disponible | 80000001219727 |
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Descripciones mejoradas de Syndetics:
This text examines the theory of functions of a complex variable.
A revised translation of Teorii︠a︡ analiticheskikh funkt︠s︡iĭ.
Includes index.
Bibliography: p. 351-353.
Tabla de contenidos provista por Syndetics
- Part 1 Basic Concepts
- I.1 Introduction
- I.2 Complex numbers
- I.3 Sets and functions
- Limits and continuity
- I.4 Connectedness
- Curves and domains
- I.5 Infinity and stereographic projection
- I.6 Homeomorphisms
- Part 2 Differentiation
- Elementary Functions
- I.7 Differentiation and the Cauchy-Riemann equations
- I.8 Geometric interpretation of the derivative
- Conformal mapping
- I.9 Elementary entire functions
- I.10 Elementary meromorphic functions
- I.11 Elementary multiple-valued functions
- Part 3 Integration
- Power Series
- I.12 Rectifiable curves
- Complex integrals
- I.13 Cauchy's integral theorem
- I.14 Cauchy's integral and related topics
- I.15 Uniform convergence
- Infinite products
- I.16 Power series: rudiments
- I.17 Power series: ramifications
- I.18 Methods for expanding functions in Taylor series Volume II
- Part 1 Laurent Series
- Calculus of Residues
- II.1 Laurent's series
- Isolated singular points
- II.2 The calculus of residues and its applications
- II.3 Inverse and implicit functions
- II.4 Univalent functions
- Part 2 Harmonic and Subharmonic Functions
- II.5 Basic properties of harmonic functions
- II.6 Applications to fluid dynamics
- II.7 Subharmonic functions
- II.8 The Poisson-Jensen formula and related topics
- Part 3 Entire and Meromorphic Functions
- II.9 Basic properties of entire functions
- II.10 Infinite product and partial fraction expansions Volume III
- Part 1 Conformal Mapping
- Approximation Theory
- III.1 Conformal mapping: rudiments
- III.2 Conformal mapping: ramifications
- III.3 Approximation by rational functions and polynomials
- Part 2 Periodic and Elliptic Functions
- III.4 Periodic meromorphic functions
- III.5 Elliptic functions: Weierstrass' theory
- III.6 Elliptic functions: Jacobi's theory
- Part 3 Riemann Surfaces
- Analytic Continuation
- III.7 Riemann surfaces
- III.8 Analytic continuation
- III.9 The symmetry principle and its applications
- Bibliography
- Index