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\begin{document}

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\section*{Computational Topology, An Introduction}

\emph{Computational Topology, An Introduction} is a short textbook, (241 pages), written by Herbert Edelsbrunner and John L. Harer, and published by AMS in 2010.

\hypertarget{contents}{}\subsubsection*{{Contents}}\label{contents}

\begin{itemize}%
\item Preface

\end{itemize}
A. Computational Geometric Topology

I. Graphs

II. Surface

III Complexes

B. Computational Algebraic Topology

IV. Homology

V. Duality

VI. Morse Functions

C. Computational Persistent Topology

VII. Persistence

VIII. Stability

IX. Applications

\begin{itemize}%
\item References

\end{itemize}
\emph{Index}

(Each section is made up of four subsections.)

\hypertarget{reference}{}\subsubsection*{{Reference}}\label{reference}

\begin{itemize}%
\item H. Edelsbrunner, J.L. Harer, \emph{Computational Topology, An Introduction}, AMS, 2010. (\href{http://www.ams.org/bookstore-getitem/item=MBK-69}{webpage})

\end{itemize}
category: topology, applications



\end{document}