{"product_id":"9783030851897","title":"Computational Music Science","description":"\u003ch1\u003eComputational Music Science\u003c\/h1\u003e \u003ch2\u003eMazzola, Guerino; Dey, Sangeeta; Chen, Zilu; Pang, Yan\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book presents a new semiotic theory based upon category theory and applying to a classification of creativity in music and mathematics. It is the first functorial approach to mathematical semiotics that can be applied to AI implementations for creativity by using topos theory and its applications to music theory.\u003c\/p\u003e\u003cp\u003eOf particular interest is the generalized Yoneda embedding in the bidual of the category of categories (Lawvere) - parametrizing semiotic units - enabling a Čech cohomology of manifolds of semiotic entities. It opens up a conceptual mathematics as initiated by Grothendieck and Galois and allows a precise description of musical and mathematical creativity, including a classification thereof in three types. This approach is new, as it connects topos theory, semiotics, creativity theory, and AI objectives for a missing link to HI (Human Intelligence).\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe reader can apply creativity research using our classification, cohomology theory, generalized Yoneda embedding, and Java implementation of the presented functorial display of semiotics, especially generalizing the Hjelmslev architecture. The intended audience are academic, industrial, and artistic researchers in creativity.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2022-04-24\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783030851897\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-030-85190-3\u003c\/p\u003e \u003cp\u003eDimensions: 279cm x210cm\u003c\/p\u003e \u003cp\u003ePages: 166\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45382795133068,"sku":"9783030851897","price":116.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783030851897.jpg?v=1775762357","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783030851897","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}