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A First Course in Complex Analysis - Mathematics

A First Course in Complex Analysis Version Matthias Beck Gerald Marchesi Department of Mathematics Department of Mathematical Sciences San Francisco State University Binghamton University (suny). San Francisco, ca 94132 Binghamton,ny 13902. Dennis Pixton Lucas Sabalka Department of Mathematical Sciences Lincoln, ne 68502. Binghamton University (suny) Binghamton, ny 13902. A First Course in Complex Analysis Copyright 2002 2018 by the authors. All rights reserved. The most current version of this book is available at the website This book may be freely reproduced and distributed, provided that it is reproduced in its entirety from the most recent version. This book may not be altered in any way, except for changes in format required for printing or other distribution, without the permission of the authors.

2 complex numbers not hard to come up with examples for p and q for which the argument of this square root becomes negative and thus not computable within the real numbers. On the other hand (e.g., by arguing through the graph of a cubic polynomial), every cubic polynomial has at least one real root. This seeming contradiction can be

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Matthias Beck Gerald Marchesi Dennis Pixton Lucas Sabalka

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A First Course in Complex Analysis was written for a one-semester undergradu-ate course developed at Binghamton University (SUNY) and San Francisco State University, and has been adopted at several other institutions. For many of our students, Complex Analysis is ... nontraditional applications from both continuous and discrete mathematics.

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