Complex Analysis and Applications (Paperback, 2)

· 제목 : Complex Analysis and Applications (Paperback, 2) 
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 미적분학
· ISBN : 9781584885535
· 쪽수 : 592쪽
· 출판일 : 2005-11-10

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