Theory of functions is one of the most elegant branches of mathematics with many important results and a variety of applications which can be covered even in an introductory course. I had the occasion to teach the subject several times and, over the years, the lecture notes prepared for the course progressively took a more formal form. The cyclostyled notes were found useful by the local students and it was felt that they would prove useful to others also. This book is largely based on these notes. The contents of the book are described in detail in the introduction which follows this preface. Although there are no formal prerequisites for this work, it is expected that a student will already have taken one or two courses in calculus of real variables and will probably be studying some abstract algebra and real analysis along with this course. The book contains several diagrams, and a large number of illustrative examples and exercises. As such, it is hoped that it can also be used for self-study. The subject matter is so arranged that each of the chapters depends upon the previous ones. There is probably sufficient material in the book for a one year introductory course on complex analysis. The first part can also be covered at the undergraduate level. (From the Preface by the author.)
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