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Notes on Complex Analysis

• Class Notes
• Dr Herman's Complex Analysis Chapter

• Online text: Complex Analysis by George Cain

• Free Textbook on Complex Analysis

• Short Course on Complex Numbers

• Complex Analysis Notes by McIntosh

• Wikipedia with Worked Problems

• Midterm Topics

• Practice Problems - See Schaum's Chapters 1-5. Also, for some simpler problems (except for 6 and 7b,d) from my MAT 367 class.

• Final Topics & Practice Problems

Complex Numbers

• Dave's Short Course on Complex Numbers
• Simple Introduction from UNCW Online Algebra Class
• An Introduction to Complex Numbers
• Stereographic Projection

Plotting Complex Functions

• Complex Functions

• Plotting Functions of a Complex Variable

• f(z) Demo

• Graphics for Complex Analysis

• Visualizing Complex Functions

• Complex Function Viewer - Java

Differentiation

• Cauchy-Riemann Equations

• Complex Differentiation

• Chapter from Chen's Book with problems

• Harmonic Functions

• Harmonic Conjugate Function

Series

• Laurent Series

• Examples

• Handbook of Complex Variables - Google Books Result - Great for everything!

Contour Integration

• Wikipedia

• Complex Integration and more

• Cauchy's Integral Theorem vs Cauchy's Integral Formula

• Modules from Matthews

  • Cauchy-Goursat Theorem

  • Cauchy Integral Formula

  • Laurent Series

Other Topics

• Irrotational Flow around objects

• Conformal Mapping Example

• Ideal Flow Machine

• Visual Complex Analysis, The Book

• Zipper

• Software Collection for Complex Variables

• Visualizing Complex Functions Using Domain Coloring

• The Chaos Hypertextbook

• Laplace Transform and more

• The Gamma Function - representations

• Stirling's Approximation

• Mtheods of Steepest Descent and Stationary Phase

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