This book on complex analysis is intended as a text/reference book for a course in mathematics, physics and engineering. It is significant to say that the complex analysis forms a basis of mathematical analysis and it represents a powerful tool and indispensable technique for applied mathematicians, statisticians, mathematical physicists and scientific engineers. Each chapter is divided into three sections. The first section deals with methodology. The second section consists of completely worked out problems. Finally, there is a section of problems with answers. Proofs are kept at elementary level and are presented in a self contained manner that is understandable for the students. Enough exercises have been included to take care of students of various competences. The main objectives of these exercises is to test the student¿s comprehension and abilities. In providing a sufficient number of solved examples, we have taken this fact into consideration that any student will make genuine attempt to solve some of these examples by himself. Constructive comments/suggestions from the readers for the further improvement of the book will be gratefully acknowledged.