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Introduction to Complex Variables and Applications (Paperback)
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Introduction to Complex Variables and Applications (Paperback)
Series: Cambridge Texts in Applied Mathematics
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The study of complex variables is beautiful from a purely
mathematical point of view, and very useful for solving a wide
array of problems arising in applications. This introduction to
complex variables, suitable as a text for a one-semester course,
has been written for undergraduate students in applied mathematics,
science, and engineering. Based on the authors' extensive teaching
experience, it covers topics of keen interest to these students,
including ordinary differential equations, as well as Fourier and
Laplace transform methods for solving partial differential
equations arising in physical applications. Many worked examples,
applications, and exercises are included. With this foundation,
students can progress beyond the standard course and explore a
range of additional topics, including generalized Cauchy theorem,
Painleve equations, computational methods, and conformal mapping
with circular arcs. Advanced topics are labeled with an asterisk
and can be included in the syllabus or form the basis for
challenging student projects.
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