{"product_id":"9783030386153","title":"SISSA Springer Series","description":"\u003ch1\u003eSISSA Springer Series\u003c\/h1\u003e \u003ch2\u003eGigli, Nicola; Pasqualetto, Enrico\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis. In particular, a quite detailed account of the first-order structure of general metric measure spaces is presented, and the reader is introduced to the second-order calculus on spaces – known as RCD spaces – satisfying a synthetic lower Ricci curvature bound. Examples of the main topics covered include notions of Sobolev space on abstract metric measure spaces; normed modules, which constitute a convenient technical tool for the introduction of a robust differential structure in the nonsmooth setting; first-order differential operators and the corresponding functional spaces; the theory of heat flow and its regularizing properties, within the general framework of “infinitesimally Hilbertian” metric measure spaces; the RCD condition and its effects on the behavior of heat flow; and second-order calculus on RCD spaces. The book is mainly intended for young researchers seeking acomprehensive and fairly self-contained introduction to this active research field. The only prerequisites are a basic knowledge of functional analysis, measure theory, and Riemannian geometry.\u003c\/p\u003e\u003cbr\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2021-02-11\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783030386153\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-030-38613-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 204\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":44522909958284,"sku":"9783030386153","price":62.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783030386153.jpg?v=1776027374","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783030386153","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}