{"title":"Mathematics: Topology \u0026 Geometry","description":"","products":[{"product_id":"topological-data-analysis-with-applications","title":"Topological Data Analysis with Applications","description":"\u003cdiv id=\"m_excelWebRenderer_ewaCtl_headerDiv\"\u003e\n\u003cdiv class=\"ewa-fb-nb\" id=\"m_excelWebRenderer_ewaCtl_m_formulaBar\"\u003e\n\u003cdiv class=\"ewa-fb drop-down\"\u003e\n\u003cdiv aria-label=\"formula bar\" id=\"formulaBarTextDivId\" role=\"textbox\" spellcheck=\"false\" wrap=\"virtual\" class=\"ewa-fb-text-box\" tabindex=\"0\" contenteditable=\"false\" autocorrect=\"off\"\u003eThe 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 higher-dimensional 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. 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Also featuring a motivating history of the problem and numerous conceptual and expository improvements on the proof, this is the definitive account of the resolution of the Kervaire invariant problem.","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":43411197034735,"sku":"9781108831444","price":135.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/products\/9781108831444i.jpg?v=1664188428"},{"product_id":"factorization-algebras-in-quantum-field-theory","title":"Factorization Algebras in Quantum Field Theory volume 1","description":"Factorization algebras are local-to-global objects that play a role in classical and quantum field theory which is similar to the role of sheaves in geometry: they conveniently organize complicated information. 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