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Complex Analysis and Applications

Alan Jeffrey
Publisher: 
Chapman & Hall/CRC
Publication Date: 
2006
Number of Pages: 
581
Format: 
Hardcover
Edition: 
2
Price: 
79.95
ISBN: 
1-58488-553-X
Category: 
Textbook
We do not plan to review this book.

 Analytic Functions
Review of Complex Numbers
Curves, Domains, and Regions
Analytic Functions
The Cauchy-Riemann Equations: Proof and Consequences
Elementary Functions
Complex Integration
Contours and Complex Integrals
The Cauchy Integral Theorem
Antiderivatives and Definite Integrals
The Cauchy Integral Formula
The Cauchy Integral Formula for Derivatives
Useful Results Deducible from the Cauchy Integral Formulas
Evaluation of Improper Integrals by Contour Integration
Taylor and Laurent Series: Residue Theorem and
Applications
Sequences, Series, and Convergence
Uniform Convergence
Power Series
Taylor Series
Laurent Series
Classification of Singularities and Zeros
Residues and the Residue Theorem
Applications of the Residue Theorem
The Laplace Inversion Integral
Conformal Mapping
Geometrical Aspects of Analytic Functions: Mapping
Conformal Mapping
The Linear Fractional Transformation
Mappings by Elementary Functions
The Schwarz-Christoffel Transformation
Boundary Value Problems, Potential Theory, and
Conformal Mapping
Laplace's Equation and Conformal Mapping - Boundary
Value Problems
Standard Solutions of the Laplace Equation
Steady-State Two-Dimensional Temperature Distribution
Steady Two-Dimensional Fluid Flow
Two-Dimensional Electrostatics