This text provides an accessible, self-contained and rigorous
introduction to complex analysis and differential equations. Topics
covered include holomorphic functions, Fourier series, ordinary and
partial differential equations.
The text is divided into two parts: part one focuses on complex
analysis and part two on differential equations. Each part can be
read independently, so in essence this text offers two books in
one. In the second part of the book, some emphasis is given to the
application of complex analysis to differential equations. Half of
the book consists of approximately 200 worked out problems,
carefully prepared for each part of theory, plus 200 exercises of
variable levels of difficulty.
Tailored to any course giving the first introduction to complex
analysis or differential equations, this text assumes only a basic
knowledge of linear algebra and differential and integral calculus.
Moreover, the large number of examples, worked out problems and
exercises makes this the ideal book for independent study."
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