LEADER 00000cam 2200349 i 4500 001 sky305744814 003 SKY 005 20221201092921.0 008 211007s2022 enka b 001|0|eng|d 010 2021024970 015 GBC1H9893|2bnb 016 7 020378184|2Uk 020 9781108838658|qhardback 020 1108838650|qhardback 040 StDuBDS|beng|erda|cStDuBDS|dUk|dSKYRV|dUtOrBLW 042 ukblcatcopy 092 514.23|bCAR 100 1 Carlsson, G.|q(Gunnar),|d1952-|eauthor. 245 10 Topological data analysis with applications /|cGunnar Carlsson, Mikael Vejdemo-Johansson. 264 1 Cambridge :|bCambridge University Press,|c2022. 300 xi, 220 pages :|billustrations (black and white, and colour) ;|c25 cm 336 text|2rdacontent 337 unmediated|2rdamedia 338 volume|2rdacarrier 500 Formerly CIP.|5Uk 504 Includes bibliographical references and index. 520 "The continued and dramatic rise in the size of data sets has meant that new methods are required to model and analyze them. This timely account introduces topological data analysis (TDA), a method for modeling data by geometric objects, namely graphs and their higherdimensional versions: simplicial complexes. The authors outline the necessary background material on topology and data philosophy for newcomers, while more complex concepts are highlighted for advanced learners. The book covers all the main TDA techniques, including persistent homology, cohomology, and Mapper. The final section focuses on the diverse applications of TDA, examining a number of case studies drawn from monitoring the progression of infectious diseases to the study of motion capture data. Mathematicians moving into data science, as well as data scientists or computer scientists seeking to understand this new area, will appreciate this self-contained resource which explains the underlying technology and how it can be used"--|cProvided by publisher. 650 0 Topology. 650 0 Mathematical analysis. 700 1 Vejdemo-Johansson, Mikael,|d1980-|eauthor.
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