This textbook is intended for a one semester course in complex analysis for upper level
undergraduates in mathematics. Applications primary motivations for this text are presented
hand-in-hand with theory enabling this text to serve well in courses for students in
engineering or applied sciences. The overall aim in designing this text is to accommodate
students of different mathematical backgrounds and to achieve a balance between presentations
of rigorous mathematical proofs and applications. The text is adapted to enable maximum
flexibility to instructors and to students who may also choose to progress through the material
outside of coursework. Detailed examples may be covered in one course giving the instructor
the option to choose those that are best suited for discussion. Examples showcase a variety of
problems with completely worked out solutions assisting students in working through the
exercises. The numerous exercises vary in difficulty from simple applications of formulas to
more advanced project-type problems. Detailed hints accompany the more challenging problems.
Multi-part exercises may be assigned to individual students to groups as projects or serve as
further illustrations for the instructor. Widely used graphics clarify both concrete and
abstract concepts helping students visualize the proofs of many results. Freely accessible
solutions to every-other-odd exercise are posted to the book¿s Springer website. Additional
solutions for instructors¿ use may be obtained by contacting the authors directly.
