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What is the shape of data? How do we describe flows? Can we count by integrating? How do we plan with uncertainty? What is the most compact representation? Thes

Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting wi

Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies

The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields. Recent applications i