دانلود کتاب Excel in Complex Variables with the Complex Variable Boundary Element Method

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Cover
Excel in Complex Variables
Copyright Page
About the Authors
Contents
I. Introduction to complex variables
1. Complex numbers
1.1. Arithmetic operations
1.2. Algebraic properties
1.3. Geometric interpretation
2. Functions of a complex variable
2.1. Visualizing complex variable functions
2.2. Linear transformations and mappings
2.3. Analytic functions
2.4. Taylor series representation
2.5. Complex functions
3. Contour integration
3.1. Open contour
3.2. Simple, closed contour
3.3. The Cauchy integral formula
II. The complex variable boundary element method and Excel
4. Foundations of the CVBEM
4.1. Analytic solutions of Laplace’s equation and related PDEs
4.2. Introduction to the CVBEM
4.3. CVBEM basis functions
4.4. Numerical implementation of the CVBEM
4.5. Computational error estimation
5. CVBEM implementation in Excel
5.1. Implementation
5.2. Potential flow in a 90-degree bend
5.3. Potential flow over a cylindrical obstacle
Bibliography
List of figures
List of tables
Index