'It is self-contained, and an understanding of only basic undergraduate-level math is required … One of the book's strengths is its synthetic way of combining abstract theory with the practical sides of the topics discussed. The authors do a great job of making the material accessible to readers with varying levels of math background. The content is introduced step-by-step, beginning with the fundamental topological concepts.' Jacek Cyranka, MathSciNet
Part I. Background: 1. Introduction; 2. Data; Part II. Theory: 3. Topology; 4. Shape of data; 5. Structures on spaces of barcodes; Part III. Practice: 6. Case studies; References; Index.