Complex variables and applications / (Record no. 7090)

MARC details
000 -LEADER
fixed length control field 04289cam a22001814a 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 0072872527 (alk. paper)
050 00 - CALL NUMBER
Classification number QA331.7
Item number .B76
100 1# - AUTHOR
Personal name Brown, James Ward.
245 10 - TITLE
Title Complex variables and applications /
Statement of responsibility, etc James Ward Brown, Ruel V. Churchill.
250 ## - EDITION
Edition statement 7th ed.
260 ## - PUBLICATION INFORMATION
Place of publication Boston :
Name of publisher McGraw-Hill Higher Education,
Year of publication c2004.
300 ## - DESCRIPTION
Number of Pages xvi, 458 p. :
Other physical details ill. ;
Dimensions 25 cm.
500 ## - NOTES
General note Includes index
505 ## - FORMATTED CONTENTS NOTE
Table of Content 1 Complex Numbers Sums and Products Basic Algebraic Properties Further Properties Vectors and Moduli Complex Conjugates Exponential Form Products and Powers in Exponential Form Arguments of Products and Quotients Roots of Complex Numbers Examples Regions in the Complex Plane 2 Analytic Functions Functions of a Complex Variable Mappings Mappings by the Exponential Function Limits Theorems on Limits Limits Involving the Point at Infinity Continuity Derivatives Differentiation Formulas Cauchy-Riemann Equations Sufficient Conditions for Differentiability Polar Coordinates Analytic Functions Examples Harmonic Functions Uniquely Determined Analytic Functions Reflection Principle 3 Elementary Functions The Exponential Function The Logarithmic Function Branches and Derivatives of Logarithms Some Identities Involving Logarithms Complex Exponents Trigonometric Functions Hyperbolic Functions Inverse Trigonometric and Hyperbolic Functions 4 Integrals Derivatives of Functions w(t) Definite Integrals of Functions w(t) Contours Contour Integrals Some Examples Examples with Branch Cuts Upper Bounds for Moduli of Contour Integrals Antiderivatives Proof of the Theorem Cauchy-Goursat Theorem Proof of the Theorem Simply Connected Domains Multiply Connected Domains Cauchy Integral Formula An Extension of the Cauchy Integral Formula Some Consequences of the Extension Liouville's Theorem and the Fundamental Theorem of Algebra Maximum Modulus Principle 5 Series Convergence of Sequences Convergence of Series Taylor Series Proof of Taylor's Theorem Examples Laurent Series Proof of Laurent's Theorem Examples Absolute and Uniform Convergence of Power Series Continuity of Sums of Power Series Integration and Differentiation of Power Series Uniqueness of Series Representations Multiplication and Division of Power Series 6 Residues and Poles Isolated Singular Points Residues Cauchy's Residue Theorem Residue at Infinity The Three Types of Isolated Singular Points Residues at Poles Examples Zeros of Analytic Functions Zeros and Poles Behavior of Functions Near Isolated Singular Points 7 Applications of Residues Evaluation of Improper Integrals Example Improper Integrals from Fourier Analysis Jordan's Lemma Indented Paths An Indentation Around a Branch Point Integration Along a Branch Cut Definite Integrals Involving Sines and Cosines Argument Principle Rouche's Theorem Inverse Laplace Transforms Examples 8 Mapping by Elementary Functions Linear Transformations The Transformation w = 1/z Mappings by 1/z Linear Fractional Transformations An Implicit Form Mappings of the Upper Half Plane The Transformation w = sin z Mappings by z2 and Branches of z1/2 Square Roots of Polynomials Riemann Surfaces Surfaces for Related Functions 9 Conformal Mapping Preservation of Angles Scale Factors Local Inverses Harmonic Conjugates Transformations of Harmonic Functions Transformations of Boundary Conditions 10 Applications of Conformal Mapping Steady Temperatures Steady Temperatures in a Half Plane A Related Problem Temperatures in a Quadrant Electrostatic Potential Potential in a Cylindrical Space Two-Dimensional Fluid Flow The Stream Function Flows Around a Corner and Around a Cylinder 11 The Schwarz-Christoffel Transformation Mapping the Real Axis onto a Polygon Schwarz-Christoffel Transformation Triangles and Rectangles Degenerate Polygons Fluid Flow in a Channel Through a Slit Flow in a Channel with an Offset Electrostatic Potential about an Edge of a Conducting Plate 12 Integral Formulas of the Poisson Type Poisson Integral Formula Dirichlet Problem for a Disk Related Boundary Value Problems Schwarz Integral Formula Dirichlet Problem for a Half Plane Neumann Problems Appendixes Bibliography Table of Transformations of Regions Index
650 #0 - SUBJECTS
Topical Term Functions of complex variables.
700 1# - OTHER AUTHORS
Personal name Churchill, Ruel V.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Collection code Home library Current library Shelving location Date acquired Full call number Accession Number Koha item type
    Reference Methodist University Library Main Methodist University Library Main General Stacks 12/03/2009 QA331.7 .B76 19171 Books
    Reference Methodist University Library Main Methodist University Library Main General Stacks 12/03/2009 QA331.7 .B76 19172 Books
    Reference Methodist University Library Main Methodist University Library Main General Stacks 12/03/2009 QA331.7 .B76 19173 Books
    Non-fiction Methodist University Library Main Methodist University Library Main General Stacks 12/03/2009 QA331.7 .B76 19174 Books
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