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Minor updates for release
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jirilebl committed Jun 27, 2018
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%\addtolength{\evensidemargin}{-0.2in}

%PRINT (USE FOR PRINT)
%FIXME: DON'T USE THIS, BETTER LEAVE LARGER MARGINS FOR NOW
%Now cut page size a bit. I'll run it through ghostcript anyway
%to convert to the right size, but this is good for crown quatro
%conversion, don't use for the full letter size versions
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Ji{\v r}\'i Lebl\\[3ex]}
\today
\\
(version 2.4)
(version 2.3)
\end{minipage}}

%\addtolength{\textwidth}{\centeroffset}
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\bigskip

\noindent
Copyright \copyright 2014--2017 Ji{\v r}\'i Lebl
Copyright \copyright 2014--2018 Ji{\v r}\'i Lebl

%PRINT
%\noindent
%ISBN 978-1-365-09557-3

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Let us start with polynomials. In one variable, a polynomial in $z$ is
an expression of the form
\begin{equation*}
P(z) = \sum_{j=0}^d c_j z^j ,
P(z) = \sum_{j=0}^d c_j \, z^j ,
\end{equation*}
where $c_j \in \C$. The number $d$ is called the
\emph{degree}\index{degree of a polynomial}
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We try to write
\begin{equation*}
f(z) = \sum_{j=0}^\infty c_j z^j
f(z) = \sum_{j=0}^\infty c_j \, z^j
\end{equation*}
and all is very fine, until we wish to know what $f(z)$ is for some number
$z \in \C$.
What we usually mean is
\begin{equation*}
\sum_{j=0}^\infty c_j z^j
\sum_{j=0}^\infty c_j \, z^j
=
\lim_{d\to\infty}
\sum_{j=0}^d c_j z^j .
\sum_{j=0}^d c_j \, z^j .
\end{equation*}
As long as the limit exists, we have a function. You know all
this; it is your one-variable complex analysis. We usually
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