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.