(published by Cambridge University Press) Tamal K Dey Yusu Wang 

Copyright: Tamal Dey and Yusu Wang 20162021
Get an electronic copy MAA review and zbMath review Errata detected in the print are corrected in electronic version marked with red text This material has been / will be published by Cambridge University Press as Computational Topology for Data Analysis by Tamal Dey and Yusu Wang. This prepublication version is free to view and download for personal use only. Not for redistribution, resale, or use in derivative works.

Computational
topology has played a synergistic role in bringing together research
work from computational geometry, algebraic topology, data analysis,
and many other related scientific areas. In recent years, the
field has undergone an explosieve growth in the area of data analysis.
The
application of topological techniques to traditional data analysis,
which has earlier developed mostly on a statistical setting, has opened
up new opportunities. This book is intended to cover this aspect of
computational topology along with the developments of generic
techniques for various topologycentered problems. Since the
development of persistent homology, the area has grown both in its
methodology and applicability. One consequence of this growth has been
the development of various algorithms which intertwine with the
discoveries of various mathematical structures in the context of
processing data. The purpose of this book is to capture these
algorithmic developments with the associated mathematical guarantees.
