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Learn topological data analysis through this comprehensive video lecture series designed for undergraduate mathematics students with a linear algebra background. Explore fundamental concepts including simplicial and cubical complexes, filtrations, homology computation, and persistence diagrams through whiteboard-style presentations. Master the bottleneck distance metric and its triangle inequality property, then delve into the stability theorem that underpins topological data analysis. Discover the intersection of topology and statistics across three dedicated sessions that demonstrate practical applications. Access accompanying PDF materials of the whiteboard content to reinforce your understanding of these advanced mathematical concepts used in data analysis and computational topology.
