{"product_id":"9783030415556","title":"Universitext: With an Introduction to Regularity Structures","description":"\u003ch1\u003eUniversitext: With an Introduction to Regularity Structures\u003c\/h1\u003e \u003ch2\u003eFriz, Peter K.; Hairer, Martin\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eWith many updates and additional exercises, the second edition of this book continues to provide readers with a gentle introduction to rough path analysis and regularity structures, theories that have yielded many new insights into the analysis of stochastic differential equations, and, most recently, stochastic partial differential equations.\u003c\/p\u003e\u003cp\u003eRough path analysis provides the means for constructing a pathwise solution theory for stochastic differential equations which, in many respects, behaves like the theory of deterministic differential equations and permits a clean break between analytical and probabilistic arguments. Together with the theory of regularity structures, it forms a robust toolbox, allowing the recovery of many classical results without having to rely on specific probabilistic properties such as adaptedness or the martingale property.\u003c\/p\u003e\u003cp\u003eEssentially self-contained, this textbook puts the emphasis on ideas and short arguments, rather than aiming for the strongest possible statements. A typical reader will have been exposed to upper undergraduate analysis and probability courses, with little more than Itô-integration against Brownian motion required for most of the text.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eFrom the reviews of the first edition:\u003c\/p\u003e\u003cp\u003e\"Can easily be used as a support for a graduate course ... Presents in an accessible way the unique point of view of two experts who themselves have largely contributed to the theory\" - Fabrice Baudouin in the \u003ci\u003eMathematical Reviews\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e\"It is easy to base a graduate course on rough paths on this … A researcher who carefully works her way through all of the exercises will have a very good impression of the current state of the art\" - Nicolas Perkowski in \u003ci\u003eZentralblatt MATH\u003c\/i\u003e\u003ci\u003e\u003cbr\u003e\u003c\/i\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2020-05-28\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783030415556\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-030-41556-3\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 346\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":44806322421900,"sku":"9783030415556","price":58.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783030415556.jpg?v=1775729326","url":"https:\/\/lateknightbooks.com\/products\/9783030415556","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}