Graduate Texts in Mathem, atics 5 This book is designed as a textbook for a two-semester course in complex analysis for upper undergraduate and beginning graduate students. The book is also accessible to junior mathematics majors who have studied set theory, elementary calculus, and number systems. The benefit most from the book, students should have some prior knowledge of complex numbers. However, the essential pre-requisites are quite minimal, and include basic calculus with some knowledge of partial derivatives, definite integrals, and topics in advanced calculus such as Leibnitz rule for differentiating under the integral sign and to some extent analysis of infinite series. The essential feature of the book lies on the fact that it lays the groundwork for further study in analysis, linear algebra, numerical analysis, differential geometry, physics (including hydromechanics and thermodynamics), and electric engineering. This book is an asset for undergraduate and graduate students of mathematics and engineering.