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Complex variables and applications James Ward Brown, Ruel V. Churchill.
Series Churchill-Brown series | International series in pure and applied mathematicsDetalles de publicación: New York McGraw-Hill c1996.Edición: 6th edDescripción: xvi, 386 p. ill. 25 cm. 1 computer disk (3 1/2 in.)ISBN:- 0079121470 (IBM set : acid-free paper)
- 0070084963 (cover : acid-free paper)
- 515.93 B8771c6 20
- QA331.7 .C524 1996
| 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 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Disco | Biblioteca Mons. Iñaki Mallona (Arecibo) Colección General ab | 519.93 B8771c6 (Navegar estantería(Abre debajo)) | Disk | Disponible | 60000001990875 |
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Descripciones mejoradas de Syndetics:
This text, and accompanying disk, provides coverage of complex variables. It uses examples and exercise sets, with clear explanations of problem-solving techniqes and material on the further theory of functions.
ESTE LIBRO INCLUYE UN DISCO.
Churchill's name appears first on the previous ed.
Includes bibliographical references (p. 367-369) and index.
System requirements for accompanying computer disk: IBM and compatible computers.
Tabla de contenidos provista por Syndetics
- Preface
- Chapter 1 Complex Numbers
- 1 Sums and Products
- 2 Algebraic Properties
- 3 Moduli and Conjugates
- 4 Triangle Inequality
- 5 Polar Coordinates and Euler's Formula
- 6 Products and Quotients in Exponential Form
- 7 Roots of Complex Numbers
- 8 Regions in the Complex Plane
- Chapter 2 Analytic Functions
- 9 Functions of a Complex Variable
- 10 Mappings
- 11 Limits
- 12 Theorems on Limits
- 13 Limits Involving the Point at Infinity
- 14 Continuity
- 15 Derivatives
- 16 Differential Formulas
- 17 Cauchy-Riemann Equations
- 18 Sufficient Conditions for Differentiability
- 19 Polar Coordinates
- 20 Analytic Functions
- 21 Reflection Principle
- 22 Harmonic Functions
- Chapter 3 Elementary Functions
- 23 The Exponential Function
- 24 Trigonometric Functions
- 25 Hyperbolic Functions
- 26 The Logarithmic Function and Its Branches
- 27 Some Identities Involving Logarithms
- 28 Complex Exponents
- 29 Inverse Trigonometric and Hyperbolic Functions
- Chapter 4 Integrals
- 30 Complex-Valued Functions w(t)
- 31 Contours
- 32 Contour Integrals
- 33 Examples
- 34 Antiderivatives
- 35 Examples
- 36 Cauchy-Goursat Theorem
- 37 Proof of the Theorem
- 38 Simply and Multiply Connected Domains
- 39 Cauchy Integral Formula
- 40 Derivatives of Analytic Functions
- 41 Liouville's Theorem and the Fundamental Theorem of Algebra
- 42 Maximum Moduli of Functions
- Chapter 5 Series
- 43 Convergence of Sequences and Series
- 44 Taylor Series
- 45 Examples
- 46 Laurent Series
- 47 Examples
- 48 Absolute and Uniform Convergence of Power Series
- 49 Integration and Differentiation of Power Series
- 50 Uniqueness of Series Representations
- 51 Multiplication and Division of Power Series
- 52 Analytic Continuation
- Chapter 6 Residues and Poles
- 53 Residues
- 54 Residue Theorems
- 55 The Three Types of Isolated Singular Points
- 56 Residues at Poles
- 57 Zeros and Poles of Order m
- 58 Conditions under Which f (z) = 0
- 59 Behavior of f Near Removable and Essential Singular Points
- Chapter 7 Applications of Residues
- 60 Evaluation of Improper Integrals
- 61 Improper Integrals Involving Sines and Cosines
- 62 Definite Integrals Involving Sines and Cosines
- 63 Indented Paths
- 64 Integration along a Branch Cut
- 65 Argument Principle and Rouche's Theorem
- 66 Inverse Laplace Transforms
- 67 Examples
- Chapter 8 Mapping by Elementary Functions
- 68 Linear Transformations
- 69 The Transformation w = 1/z
- 70 Linear Fractional Transformations
- 71 An Implicit Form
- 72 Mapping of the Upper Half Plane
- 73 Exponential and Logarithmic Transformations
- 74 The Transformation w = sin z
- 75 Mappings by Branches of z 1/2
- 76 Square Roots of Polynomials
- 77 Riemann Surfaces
- 78 Surfaces for Related Functions
- Chapter 9 Conformal Mapping
- 79 Preservation of Angles
- 80 Further Properties
- 81 Harmonic Conjugates
- 82 Transformations of Harmonic Functions
- 83 Transformations of Boundary Conditions
- Chapter 10 Applications of Conformal Mapping
- 84 Steady Temperatures
- 85 Steady Temperatures in a Half Plane
- 86 A Related Problem
- 87 Temperatures in a Quadrant
- 88 Electrostatic Potential
- 89 Potential in a Cylindrical Space
- 90 Two-Dimensional Fluid Flow
- 91 The Stream Function
- 92 Flows around a Corner and around a Cylinder
- Chapter 11 The Schwartz-Christoffel Transformation
- 93 Mapping the Real Axis onto a Polygon
- 94 Schwarz-Christoffel Transformation
- 95 Triangles and Rectangles
- 96 Degenerate Polygons
- 97 Fluid Flow in a Channel through a Slit
- 98 Flow in a Channel with an Offset
- 99 Electrostatic Potential about an Edge of a Conducting Plate
- Chapter 12 Integral Formulas of the Poisson Type
- 100 Poisson Integral Formula
- 101 Dirichlet Problem for a Disk
- 102 Related Boundary Value Problems
- 103 Schwarz Integral Formula
- 104 Dirichlet Problem for a Half Plane
- 105 Neumann Problem for a Disk
- 106 Neumann Problem for a Half Plane
- Appendixes
- 1 Bibliography
- 2 Table of Transformations of Regions
- Index