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Fix tupo and add acknowledgement
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Signed-off-by: Marcello Seri <marcello.seri@gmail.com>
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mseri committed Nov 12, 2020
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2 changes: 1 addition & 1 deletion 1-manifolds.tex
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Expand Up @@ -113,7 +113,7 @@ \section{Topological manifolds}
\end{definition}

\begin{notation}
Reusing the notation of the definition above, we call \emph{(coordinate) chart} the pair $(U, \varphi)$ of a \emph{coordinate neighbourhood} $U$ and an associated \emph{coordinate map}\footnote{Or \emph{coordinate system}.} $\varphi: U\to V$ onto an open subset $U=\varphi(V)\subseteq\R^n$ of $\R^n$.
Reusing the notation of the definition above, we call \emph{(coordinate) chart} the pair $(U, \varphi)$ of a \emph{coordinate neighbourhood} $U$ and an associated \emph{coordinate map}\footnote{Or \emph{coordinate system}.} $\varphi: U\to V$ onto an open subset $V=\varphi(U)\subseteq\R^n$ of $\R^n$.
Furthermore, we say that a chart is \emph{centred at $p\in U$} if $\varphi(p) = 0$.
\end{notation}

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2 changes: 1 addition & 1 deletion aom.tex
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Expand Up @@ -266,7 +266,7 @@ \chapter*{Introduction}
In some sense I would like this course to provide the introduction to geometric analysis that I wish was there when I prepared my \href{https://www.mseri.me/lecture-notes-hamiltonian-mechanics/}{first edition} of the Hamiltonian mechanics course.

I am extremely grateful to Martijn Kluitenberg for his careful reading of the notes and his useful comments and corrections.
Many thanks also to Luuk de Ridder for reporting a number of misprints.
Many thanks also to Luuk de Ridder and Huub Bouwkamp for reporting a number of misprints.

\mainmatter

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