Literature and other sources
Textbook:
Žiga Virk: Introduction to persistent homology, 2022
Problems with solutions:
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Other textbooks:
Tamal Dey and Yusu Wang: Computational Topology for Data Analysis, 2022
Edelsbrunner and Harer: Computational Topology, An introduction (part of Chapter 2, from Chapter 3 on)
Further reading:
Herbert Edelsbrunner: Lecture notes on Delaunay triangulations
Gunnar Carlson: Topology and Data
Øyvind Hjelle and Morten Dæhlen: Triangulations and Applications (for plane triangulations)
Günter Rote and Gert Vegter: Computational Topology: An Introduction
Robin Forman: Users guide to discrete Morse theory
Kevin Knudson: Morse theory, smooth and discrete
Non-technical articles and applications
A list of applications of TDA, updated periodically
Old exams
2013/2014 | exam 1 | exam 2 |
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2014/2015 | exam 1 | exam 2 |
2016/2017 | exam 1 | exam 2 |
2018/2019 | exam 1 | exam 2 |