Life of Fred: Complex Analysis

Complex Analysis is the theory of functions of a single complex variable. (That is: Functions that map from complex numbers to complex numbers.) This is advanced undergraduate mathematics with applications to even more advanced mathematics, physics, and engineering. Some of the topics covered:

Fred's scheduling issuesCauchy-Riemann equations; Cauchy-Goursat theorem; Cauchy's formulaDerivatives and Integration in the set of complex numbersCasorati-Weierstrass theorem; Picard's theorems; Liouville theoremWhy the Residue theorem is called a residueRed Riding Hood

176 pages, harcover