This book is aimed at students of Natural Sciences and Engineering and contains the material of the course on Complex Functions (or Complex Analysis).

The methods of Complex Analysis are used for solving problems in science and technology. Complex Analysis was strictly established in the 19th century by Cauchy, Riemann, Weierstrass, Gauss, among others.

The chapters developed in this book are:

1. The set of complex numbers
2. Limit and continuity of complex functions
3. Derivative of complex functions
4. Integration of complex functions
5. Series of complex functions
6. Contour integrals
7. Conformal mappings

The theory is presented concisely, and representative examples are solved for each case. In each chapter, exercises for solution are proposed, for which hints and answers are provided at the end of the book.