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Preface About This Book
“And what is the use of a book,” thought Alice, “without pictures or conversations?”
―Lewis Carroll (Alice in Wonderland )
A First Course in Complex Analysis was written for a one-semester undergraduate course developed at Binghamton University (SUNY) and San Francisco State University, and has been adopted at numerous other institutions. For many of our students, Complex Analysis is their first rigorous analysis (if not mathematics) class they take, and this book reflects this very much. We tried to rely on as few concepts from Real Analysis as possible. In particular, series and sequences are treated from scratch, which has the consequence that power series are introduced late in the course. The goal our book works toward is the Residue Theorem, including some nontraditional applications from both continuous and discrete mathematics. More than 250 exercises and numerous
SageMath prompts are spread throughout the text.
A printed paperback version of this open textbook is available from
Orthogonal Publishing or your favorite bookseller.
