A First Course in
Complex Analysis
Version 1.2c
Matthias Beck, Gerald Marchesi, and Dennis Pixton
Department of Mathematics
Department of Mathematical Sciences
San Francisco State University
Binghamton University (SUNY)
San Francisco, CA 94132
Binghamton, NY 139026000
[email protected]
[email protected]
[email protected]
Copyright 2002–2009 by the authors. All rights reserved. The most current version of this book is
available at the websites
http://www.math.binghamton.edu/dennis/complex.pdf
http://math.sfsu.edu/beck/complex.html
.
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.
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These are the lecture notes of a onesemester undergraduate course which we have taught several
times at Binghamton University (SUNY) and San Francisco State University.
For many of our
students, complex analysis is their first rigorous analysis (if not mathematics) class they take,
and these notes reflect 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.” This also has the (maybe
disadvantageous) consequence that power series are introduced very late in the course.
We thank our students who made many suggestions for and found errors in the text. Special
thanks go to Joshua Palmatier, Collin Bleak and Sharma Pallekonda at Binghamton University
(SUNY) for comments after teaching from this book.
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 Fall '11
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 Math, Taylor Series, SUNY, Selected Exercises, San Francisco State

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