Gunnar wrote a review article a few years ago called Topology and Data (<a href="http:&#x2F;&#x2F;www.ams.org&#x2F;journals&#x2F;bull&#x2F;2009-46-02&#x2F;S0273-0979-09-01249-X&#x2F;" rel="nofollow">http:&#x2F;&#x2F;www.ams.org&#x2F;journals&#x2F;bull&#x2F;2009-46-02&#x2F;S0273-0979-09-01...</a>). It is an amazingly well written and accessible paper for a technical audience.<p>Pair it with Afra&#x27;s book (<a href="http:&#x2F;&#x2F;www.amazon.com&#x2F;Computing-Cambridge-Monographs-Computational-Mathematics&#x2F;dp&#x2F;0521136091&#x2F;ref=sr_1_1?ie=UTF8&amp;qid=1444973590&amp;sr=8-1&amp;keywords=topology+for+computing" rel="nofollow">http:&#x2F;&#x2F;www.amazon.com&#x2F;Computing-Cambridge-Monographs-Computa...</a>)