The book Complex Analysis through Examples and Exercises has come out
from the lectures and exercises that the author held mostly for
mathematician and physists . The book is an attempt to present the rat
her involved subject of complex analysis through an active approach by
the reader. Thus this book is a complex combination of theory and
examples. Complex analysis is involved in all branches of mathematics.
It often happens that the complex analysis is the shortest path for
solving a problem in real circum- stances. We are using the (Cauchy)
integral approach and the (Weierstrass) power se ries approach . In the
theory of complex analysis, on the hand one has an interplay of several
mathematical disciplines, while on the other various methods, tools, and
approaches. In view of that, the exposition of new notions and methods
in our book is taken step by step. A minimal amount of expository theory
is included at the beinning of each section, the Preliminaries, with
maximum effort placed on weil selected examples and exercises capturing
the essence of the material. Actually, I have divided the problems into
two classes called Examples and Exercises (some of them often also
contain proofs of the statements from the Preliminaries). The examples
contain complete solutions and serve as a model for solving similar
problems given in the exercises. The readers are left to find the
solution in the exercisesj the answers, and, occasionally, some hints,
are still given.
