000 01866cam a22002538i 4500
001 22156462
005 20250610114751.0
008 210729s2021 nyu b 001 0 eng
020 _a9781108838658
040 _aCSL
_cCSL
041 _2eng
_aeng
084 _aB316 R2 NBHM
_qCSL
100 1 _aCarlsson, G.
_eauthor.
_9812381
245 1 0 _aTopological data analysis with applications
264 1 _aNew York :
_bCambridge University Press,
_c2021.
300 _axi, 220p.
_c23 cm.
504 _aIncludes bibliographical references and index.
520 _a"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"--
650 0 _aTopology.
_9447898
650 0 _aMathematical analysis.
650 7 _aMathematics- Topology
_9812382
700 1 _aVejdemo-Johansson, Mikael,
_eco- author.
_9812383
942 _2CC
_n0
_cTEXL
_hB316 R2 NBHM
999 _c1431556
_d1431556