MA424 Spring 19: Links

Alternative free text:

A First Course in Complex Analysis by Matthias Beck, Gerald Marchesi, Dennis Pixton, and Lucas Sabalka. This has links to two PDFs; one that is identical to the paperback copy (feel free to order one!) and another that is not.

Visualizing Complex Numbers and Functions:

• Complex Mapping Viewer
• Complex Function wiewer and the blogpost about it
• Table of Conformal Mappings Using Continuous Coloring
• Graphics for complex analysis -- Douglas N. Arnold
• Visualizing complex analytic functions using domain coloring
• Visualizing the Riemann Hypothesis and analytic continuation Some great visualizations of complex analysis

Other Complex Number Pages:

• History of Complex Numbers (also known as History of Imaginary Numbers or the History of i)
• Euler's Identity: 'The Most Beautiful Equation'
• Complex number to a complex power may be real
• Escher and the Droste effect - Universiteit Leiden
• Dave's Short Course on Complex numbers
• Hans Lundmark's complex analysis pages

Applets or JAVA viewers that sadly no longer work in current browswers:

• Bunch of Applets by Dr. Terence Tao of UCLA
• A Complex Function Viewer (Java) good for Exp, Sin, Cos
• Interactive Conformal Mapping Demo

Miscellaneous Links:

1. Dr. Duckworth's LaTeX symbol guide useful for typing mathematics in a published page
2. NYT op-ed on appreciating mathematics by Dr. Manil Suri from UMBC
3. WSJ article on Simpson's paradox which mentions one of my mentors, Dr. Ken Ross
4. Doodling in Math Class: Connecting the Dots parabolas, Angry Birds, conic sections, cardoids, catenaries
5. Doodling in Math Class: Infinity Elephants
6. Doodling in Math Class: Sick Number Games