Complex Analysis and Applications, Second Edition explains complex
analysis for students of applied mathematics and engineering.
Restructured and completely revised, this textbook first develops
the theory of complex analysis, and then examines its geometrical
interpretation and application to Dirichlet and Neumann boundary
value problems.
A discussion of complex analysis now forms the first three
chapters of the book, with a description of conformal mapping and
its application to boundary value problems for the two-dimensional
Laplace equation forming the final two chapters. This new structure
enables students to study theory and applications separately, as
needed.
In order to maintain brevity and clarity, the text limits the
application of complex analysis to two-dimensional boundary value
problems related to temperature distribution, fluid flow, and
electrostatics. In each case, in order to show the relevance of
complex analysis, each application is preceded by
mathematicalbackground that demonstrates how a real valued
potential function and its related complex potential can be derived
from the mathematics that describes the physical situation.
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