Schenck, Hal

Algebraic Foundations for Applied Topology and Data Analysis (Mathematics of Data)

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ISBN 13:
9783031066665
author:
Schenck, Hal
format:
Paperback
publisher:
Springer International Publishing AG
language:
English
Publication Year:
2023
Pages:
224
Dimensions:
23.4 x 15.6 x 1.3 centimetres (0
Genre:
Computers, Computer Science, General,
Condition:
New
Availability:
Item usually sent within 5 working days
£59.53

Description

Algebraic Foundations for Applied Topology and Data Analysis by Hal Schenck provides an accessible introduction to Topological Data Analysis (TDA), covering topics from basic linear algebra to advanced concepts like Grothendieck spectral sequences. This book offers a comprehensive overview of the subject, with a focus on developing the required algebraic background. The first part of the book reviews core areas of mathematics, including data fitting and web search algorithms, while the second section introduces algebraic topology and its applications to sensor networks and voter ranking. The final third covers contemporary tools in TDA, such as persistent and multiparameter persistent homology. A user's guide to derived functors and spectral sequences is also included, along with an appendix illustrating software packages used in the field. Suitable for graduate students, this book is based on a course given as part of a master's degree in statistics, making it an ideal resource for those looking to build their knowledge in TDA.

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