Complex Variables and Applications
Analytic functions of a complex variable, infinite series in the complex plane, theory of residues, conformal mapping and applications.
Complex Analysis for Mathematics and Engineering, Mathews and Howell, 6th edition, Jones & Bartlett.
Topics from the following chapters:
- Complex Numbers
- Complex functions
- Analytic and Harmonic Functions
- Sequences, Julia and Mandelbrot Sets, and Power Series
- Elementary Functions
- Complex Integration
- Taylor and Laurent Series
- Residues Theory
- Conformal Mapping
Individual projects in applications selected from the remaining chapters in the textbook.
(Gavosto 2016 )