Materials for the Working Group on Topological Data Analysis July 2014, EPFL

References Books [1] H. Edelsbrunner and J. Harer Computational topology: An introduction, AMS (2009). (pdf) [2] A. Zomorodian Topology for computing Cambridge Monographs on Applied and Computational Mathematics (No. 16), (2009). (pdf) [3] T. Kaczynski et al. Computational homology Springer (2004). [4] V . Pascucci et al. Topological Methods in Data Analysis and Visualization: Theory, Algorithms, and Applications, Springer (2010). This book addresses many other applications of topology in addition to the ones on which we mainly focus here (i.e, persistence homology, barcodes, Mapper). Thus, it is good for broadening the horizon, but might be off-topic, depending on our purposes. [5] A. Zomorodian Short course in computational topology, Advances in applied and computational topology, AMS (2011).