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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.

Produktbeschreibung
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.
Autorenporträt
Luís Vieira is a Professor of Math at the University of Porto. His research field is Euclidean Jordan algebras and combinatorics and he authored several papers in the area. Rui Gonçalves is a Professor of Math at University of Porto. His research field is statistics and data analysis, he has authored several papers in the area.