A mathematics textbook providing an introduction to fundamental
concepts from the theory of complex variables together with
numerous worked examples and applications. The textbook contains
both elementary and advanced material which is suitable for a one
or two semester course in complex variable theory for beginning
graduate students in mathematics, physics, engineering and the
sciences. There is sufficient elementary material so that the
textbook would be suitable for an upper level undergraduate course
in complex variable theory.
The textbook contains numerous worked examples and a large number
of exercises at the end of each chapter. The appendix C contains
hints and answers to over 85 percent of the exercise problems. Some
of the more difficult problems are worked out in step-by-step
detail.
An examination of the table of contents and exercise problems at
the end of each chapter will illustrate the variety of applications
presented. In addition to fundamentals the reader is provided with
an introduction to many specialized topics involving complex
variables. The text material concludes with a chapter on the
Fourier, Laplace and Z-transforms followed by a chapter on special
functions.
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