Hal Schenck
Algebraic Foundations for Applied Topology and Data Analysis
Algebraic Foundations for Applied Topology and Data Analysis
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- More about Algebraic Foundations for Applied Topology and Data Analysis
This book provides an intuitive and hands-on introduction to Topological Data Analysis (TDA), covering a wide range of topics from basic linear algebra to esoteric Grothendieck spectral sequences. It is suitable for graduate students and offers a mirror of data science for a general mathematical audience.
Format: Hardback
Length: 224 pages
Publication date: 22 November 2022
Publisher: Springer International Publishing AG
This comprehensive book provides an accessible and practical introduction to Topological Data Analysis (TDA). Covering a diverse range of topics, ranging from elementary matrix algebra to esoteric concepts like the Grothendieck spectral sequence, it serves as a mirror of data science, aimed at a broad mathematical audience. The book meticulously develops the necessary algebraic background, covering essential topics such as basic linear algebra, its applications in data fitting and web search algorithms, and concise primers on algebra and topology. In the second third, algebraic topology is introduced, along with its applications in sensor networks and voter ranking. The final third delves into key contemporary tools in TDA, including persistent and multiparameter persistent homology. Additionally, a user guide to derived functors and spectral sequences, which are useful but technically complex tools recently applied in TDA, is included. An appendix showcases various software packages used in the field. Authored by a professor for a masters degree in statistics, this book is suitable for advanced graduate students seeking to explore the realm of TDA.
Weight: 524g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031066634
Edition number: 1st ed. 2022
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