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A First Course in Complex Analysis

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A First Course in Complex Analysis was developed from lecture notes for a one-semester undergraduate course taught by the authors. For many students, complex analysis is the first rigorous analysis (if not mathematics) class they take, and these notes reflect this. The authors try to rely on as few concepts from real analysis as possible. In particular, series and sequences are treated from scratch.

216 pages, Paperback

First published December 1, 2014

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About the author

Matthias Beck

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7 reviews
November 21, 2016
It presents all of the major results in a straightforward way. However, I would have liked to see more visualizations of what some complex functions, various types of poles and zeros etc. looked like. I ended up having to find some other resources to fill this need.

Another thing which I felt was lacking (but which might be a positive for others) was that there wasn't much in the way of "fun" applications. For example, the Zeta function was mentioned in passing, but there was very little exploration of its properties. The positive side of this is that the book was short and highly focused on the most fundamental parts of the field.
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