This textbook, on the foundations to the classical theory of the functions of complex variable, begins at a basic level and explains the theory as rigorously as can be obtained in a short course. It offers motivation for classical results in complex analysis and shows the reader the power of certain techniques. A selection of exercises on all topics is given at the end of each chapter and the exercises and problems are also provided with solutions/hints.
One of best book for mastering the fundamentals of Complex Analysis by Indian author S. Ponnusamy, everything in book is well ordered and in a consice manner, Recommended for Masters (2 sem) not for beginners.