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Combining theoretical and practical aspects of topology, this book provides a comprehensive and self-contained introduction to topological methods for the analysis and visualization of scientific data.Theoretical concepts are presented in a painstaking but intuitive manner, with numerous high-quality color illustrations. Key algorithms for the computation and simplification of topological data representations are described in detail, and their application is carefully demonstrated in a chapter dedicated to concrete use cases.With its fine balance between theory and practice, "e;Topological Data Analysis for Scientific Visualization"e; constitutes an appealing introduction to the increasingly important topic of topological data analysis for lecturers, students and researchers.