{"product_id":"9783540712848","title":"Lecture Notes in Mathematics: Ecole d’Eté de Probabilités de Saint-Flour XXXIV-2004","description":"\u003ch1\u003eLecture Notes in Mathematics: Ecole d’Eté de Probabilités de Saint-Flour XXXIV-2004\u003c\/h1\u003e \u003ch2\u003eLyons, Terry J.; Caruana, Michael J.; Lévy, Thierry\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eEach year young mathematicians congregate in Saint Flour, France, and listen to extended lecture courses on new topics in Probability Theory. \u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e\n\u003cp\u003eThe goal of these notes, representing a course given by Terry Lyons in 2004, is to provide a straightforward and self supporting but minimalist account of the key results forming the foundation of the theory of rough paths. The proofs are similar to those in the existing literature, but have been refined with the benefit of hindsight. The theory of rough paths aims to create the appropriate mathematical framework for expressing the relationships between evolving systems, by extending classical calculus to the natural models for noisy evolving systems, which are often far from differentiable.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2007-05-07\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540712848\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-540-71285-5\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 116\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369686753420,"sku":"9783540712848","price":40.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540712848_8ed819ee-58c6-4411-af90-a0354c39ef41.jpg?v=1775673746","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540712848","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}