Properties of Complex Numbers and Simple Integration over R

This book is an introduction to complex analysis. We present the properties of complex numbers and of complex functions. In particular we introduce the homographic complex functions, the exponential, the logarithm, the trigonometric and the hyperbolic complex functions. The book contains a short introduction to the derivative of a complex function. We analyse the simple integration resorting to complex analysis. It contains lots of solved exercises and proposed exercises with solution.