{"product_id":"the-malliavin-calculus-dover-books-on-mathematics","title":"The Malliavin Calculus (Dover Books on Mathematics)","description":"\u003ch3 data-start=\"90\" data-end=\"106\"\u003eBook Details\u003c\/h3\u003e\n\u003cul data-start=\"108\" data-end=\"355\"\u003e\n\u003cli data-start=\"108\" data-end=\"137\"\u003e\n\u003cp data-start=\"110\" data-end=\"137\"\u003e\u003cstrong data-start=\"110\" data-end=\"120\"\u003eAuthor\u003c\/strong\u003e: Denis R. Bell\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"138\" data-end=\"162\"\u003e\n\u003cp data-start=\"140\" data-end=\"162\"\u003e\u003cstrong data-start=\"140\" data-end=\"153\"\u003ePublisher\u003c\/strong\u003e: Dover\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"163\" data-end=\"188\"\u003e\n\u003cp data-start=\"165\" data-end=\"188\"\u003e\u003cstrong data-start=\"165\" data-end=\"177\"\u003eLanguage\u003c\/strong\u003e: English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"208\" data-end=\"235\"\u003e\n\u003cp data-start=\"210\" data-end=\"235\"\u003e\u003cstrong data-start=\"210\" data-end=\"218\"\u003eISBN\u003c\/strong\u003e: 9780486449944\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"236\" data-end=\"260\"\u003e\n\u003cp data-start=\"238\" data-end=\"260\"\u003e\u003cstrong data-start=\"238\" data-end=\"247\"\u003eCover\u003c\/strong\u003e: Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"261\" data-end=\"279\"\u003e\n\u003cp data-start=\"263\" data-end=\"279\"\u003e\u003cstrong data-start=\"263\" data-end=\"272\"\u003ePages\u003c\/strong\u003e: 128\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"280\" data-end=\"312\"\u003e\n\u003cp data-start=\"282\" data-end=\"312\"\u003e\u003cstrong data-start=\"282\" data-end=\"298\"\u003eRelease Date\u003c\/strong\u003e: 07-04-2006\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"313\" data-end=\"355\"\u003e\n\u003cp data-start=\"315\" data-end=\"355\"\u003e\u003cstrong data-start=\"315\" data-end=\"329\"\u003eDimensions\u003c\/strong\u003e: 8.5 x 5.5 x 0.4 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr data-start=\"357\" data-end=\"360\"\u003e\n\u003ch3 data-start=\"362\" data-end=\"380\"\u003eAbout the Book\u003c\/h3\u003e\n\u003cp data-start=\"382\" data-end=\"806\"\u003e\u003cstrong data-start=\"382\" data-end=\"425\"\u003e\u003cem data-start=\"384\" data-end=\"423\"\u003eAn Introduction to Malliavin Calculus\u003c\/em\u003e\u003c\/strong\u003e by \u003cstrong data-start=\"429\" data-end=\"446\"\u003eDenis R. Bell\u003c\/strong\u003e offers a clear and accessible entry point into one of the most significant advances in stochastic analysis. Specifically designed for graduate students and professional mathematicians, this compact volume lays the groundwork for understanding Malliavin's stochastic calculus of variations—a powerful tool in modern probability theory and mathematical finance.\u003c\/p\u003e\n\u003cp data-start=\"808\" data-end=\"1282\"\u003eThe author opens with a concise yet comprehensive chapter on the technical background necessary for readers unfamiliar with advanced stochastic analysis. From there, the book delves into two major approaches to the subject: the \u003cstrong data-start=\"1036\" data-end=\"1087\"\u003efunctional analytic method developed by Stroock\u003c\/strong\u003e and the \u003cstrong data-start=\"1096\" data-end=\"1139\"\u003evariational method introduced by Bismut\u003c\/strong\u003e. Through detailed exposition and comparison, Bell explains how these frameworks intersect, diverge, and enrich our understanding of the field.\u003c\/p\u003e\n\u003cp data-start=\"1284\" data-end=\"1303\"\u003eKey topics include:\u003c\/p\u003e\n\u003cul data-start=\"1304\" data-end=\"1570\"\u003e\n\u003cli data-start=\"1304\" data-end=\"1351\"\u003e\n\u003cp data-start=\"1306\" data-end=\"1351\"\u003eMalliavin’s inequalities and their derivation\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1352\" data-end=\"1437\"\u003e\n\u003cp data-start=\"1354\" data-end=\"1437\"\u003eThe structure and implications of the covariance matrix under Hörmander’s condition\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1438\" data-end=\"1570\"\u003e\n\u003cp data-start=\"1440\" data-end=\"1570\"\u003eApplication-driven discussions that go beyond classical problems to cover a broader spectrum of real-world mathematical challenges\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp data-start=\"1572\" data-end=\"1894\"\u003eWhether you're studying stochastic partial differential equations, probabilistic approaches to PDEs, or the underpinnings of modern quantitative finance, this book is an invaluable resource. Its clarity, precision, and insightful treatment of foundational theories make it a must-read for scholars and professionals alike.\u003c\/p\u003e","brand":"Dover","offers":[{"title":"Default Title","offer_id":49965566296368,"sku":"Sarat_9780486449944","price":852.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/dover-book-default-title-the-malliavin-calculus-dover-books-on-mathematics-41351785677104.jpg?v=1775959535","url":"https:\/\/www.retailmaharaj.com\/products\/the-malliavin-calculus-dover-books-on-mathematics","provider":"Retail Maharaj","version":"1.0","type":"link"}