An introduction to complex variables that caters for undergraduate students in applied mathematics, science, and engineering.

1. Complex numbers and elementary functions; 2. Analytic functions and integration; 3. Sequences, series and singularities of complex functions; 4. Residue calculus and applications of contour integration; 5. Conformal mappings and applications; Appendix. Answers to selected odd-numbered exercises; References; Index.

Mark J. Ablowitz is Professor of Applied Mathematics at the University of Colorado, Boulder. He is the author of five books, including Nonlinear Dispersive Waves (Cambridge, 2011) and Complex Variables: Introduction and Applications (Cambridge, 2003), now in its second edition.