The idea of complex numbers dates back at least 300 years-to Gauss
and Euler, among others. Today complex analysis is a central part
of modern analytical thinking. It is used in engineering, physics,
mathematics, astrophysics, and many other fields. It provides
powerful tools for doing mathematical analysis, and often yields
pleasing and unanticipated answers. This book makes the subject of
complex analysis accessible to a broad audience. The complex
numbers are a somewhat mysterious number system that seems to come
out of the blue. It is important for students to see that this is
really a very concrete set of objects that has very concrete and
meaningful applications. Features: This new edition is a
substantial rewrite, focusing on the accessibility, applied, and
visual aspect of complex analysis This book has an exceptionally
large number of examples and a large number of figures. The topic
is presented as a natural outgrowth of the calculus. It is not a
new language, or a new way of thinking. Incisive applications
appear throughout the book. Partial differential equations are used
as a unifying theme.
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