{"product_id":"9783642051944","title":"Lecture Notes of the Unione Matematica Italiana: A Personalized Introduction","description":"\u003ch1\u003eLecture Notes of the Unione Matematica Italiana: A Personalized Introduction\u003c\/h1\u003e \u003ch2\u003eTartar, Luc\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eHomogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level, knowing which partial differential equations govern mesoscopic levels, without using probabilities (which destroy physical reality); instead, one uses various topologies of weak type, the G-convergence of Sergio Spagnolo, the H-convergence of François Murat and the author, and some responsible for the appearance of nonlocal effects, which many theories in continuum mechanics or physics guessed wrongly.\u003c\/p\u003e\n\u003cp\u003eFor a better understanding of 20th century science, new mathematical tools must be introduced, like the author’s H-measures, variants by Patrick Gérard, and others yet to be discovered. \u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2009-12-21\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783642051944\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-642-05195-1\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 471\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45227974459532,"sku":"9783642051944","price":98.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783642051944.jpg?v=1775746682","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783642051944","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}