{"product_id":"plane-waves-and-spherical-means-applied-to-partial-differential-equations-dover-books-on-mathematics","title":"Plane Waves and Spherical Means Applied to Partial Differential Equations (Dover Books on Mathematics)","description":"\u003ch3 data-start=\"110\" data-end=\"130\"\u003e\u003cstrong data-start=\"114\" data-end=\"130\"\u003eBook Details\u003c\/strong\u003e\u003c\/h3\u003e\n\u003cul data-start=\"132\" data-end=\"380\"\u003e\n\u003cli data-start=\"132\" data-end=\"158\"\u003e\n\u003cp data-start=\"134\" data-end=\"158\"\u003e\u003cstrong data-start=\"134\" data-end=\"145\"\u003eAuthor:\u003c\/strong\u003e Fritz John\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"159\" data-end=\"179\"\u003e\n\u003cp data-start=\"161\" data-end=\"179\"\u003e\u003cstrong data-start=\"161\" data-end=\"171\"\u003eBrand:\u003c\/strong\u003e Dover\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"180\" data-end=\"206\"\u003e\n\u003cp data-start=\"182\" data-end=\"206\"\u003e\u003cstrong data-start=\"182\" data-end=\"194\"\u003eBinding:\u003c\/strong\u003e Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"207\" data-end=\"234\"\u003e\n\u003cp data-start=\"209\" data-end=\"234\"\u003e\u003cstrong data-start=\"209\" data-end=\"218\"\u003eISBN:\u003c\/strong\u003e 9780486438047\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"235\" data-end=\"253\"\u003e\n\u003cp data-start=\"237\" data-end=\"253\"\u003e\u003cstrong data-start=\"237\" data-end=\"247\"\u003ePages:\u003c\/strong\u003e 176\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"254\" data-end=\"278\"\u003e\n\u003cp data-start=\"256\" data-end=\"278\"\u003e\u003cstrong data-start=\"256\" data-end=\"266\"\u003eCover:\u003c\/strong\u003e Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"279\" data-end=\"321\"\u003e\n\u003cp data-start=\"281\" data-end=\"321\"\u003e\u003cstrong data-start=\"281\" data-end=\"296\"\u003eDimensions:\u003c\/strong\u003e 8.3 x 5.4 x 0.4 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"322\" data-end=\"347\"\u003e\n\u003cp data-start=\"324\" data-end=\"347\"\u003e\u003cstrong data-start=\"324\" data-end=\"337\"\u003eLanguage:\u003c\/strong\u003e English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"348\" data-end=\"380\"\u003e\n\u003cp data-start=\"350\" data-end=\"380\"\u003e\u003cstrong data-start=\"350\" data-end=\"367\"\u003eRelease Date:\u003c\/strong\u003e 26-07-2004\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr data-start=\"382\" data-end=\"385\"\u003e\n\u003ch3 data-start=\"387\" data-end=\"409\"\u003e\u003cstrong data-start=\"391\" data-end=\"409\"\u003eAbout The Book\u003c\/strong\u003e\u003c\/h3\u003e\n\u003cp data-start=\"411\" data-end=\"718\"\u003e\u003cstrong data-start=\"411\" data-end=\"445\"\u003ePartial Differential Equations\u003c\/strong\u003e by \u003cstrong data-start=\"449\" data-end=\"463\"\u003eFritz John\u003c\/strong\u003e is an \u003cstrong data-start=\"470\" data-end=\"503\"\u003eelementary and self-contained\u003c\/strong\u003e text offering a comprehensive collection of results on \u003cstrong data-start=\"559\" data-end=\"600\"\u003epartial differential equations (PDEs)\u003c\/strong\u003e. This accessible book is ideal for students and professionals looking to explore PDEs from a fundamental perspective.\u003c\/p\u003e\n\u003cp data-start=\"720\" data-end=\"1047\"\u003eThe book makes use of \u003cstrong data-start=\"742\" data-end=\"767\"\u003eelementary identities\u003c\/strong\u003e for plane and spherical integrals of an arbitrary function to derive results that apply to a broad range of differential equations. With this approach, the author demonstrates how a variety of results on fairly general differential equations can be derived from these identities.\u003c\/p\u003e\n\u003cp data-start=\"1049\" data-end=\"1068\"\u003eKey topics include:\u003c\/p\u003e\n\u003cul data-start=\"1069\" data-end=\"1454\"\u003e\n\u003cli data-start=\"1069\" data-end=\"1188\"\u003e\n\u003cp data-start=\"1071\" data-end=\"1188\"\u003e\u003cstrong data-start=\"1071\" data-end=\"1111\"\u003eDecomposition of arbitrary functions\u003c\/strong\u003e into functions like plane waves, which are the foundation of later chapters.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1189\" data-end=\"1365\"\u003e\n\u003cp data-start=\"1191\" data-end=\"1365\"\u003eThe introduction of the \u003cstrong data-start=\"1215\" data-end=\"1239\"\u003eRadon transformation\u003c\/strong\u003e and its application to solving the \u003cstrong data-start=\"1275\" data-end=\"1300\"\u003einitial value problem\u003c\/strong\u003e for homogeneous hyperbolic equations with constant coefficients.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1366\" data-end=\"1454\"\u003e\n\u003cp data-start=\"1368\" data-end=\"1454\"\u003eThe \u003cstrong data-start=\"1372\" data-end=\"1409\"\u003eproblem of determining a function\u003c\/strong\u003e from its integrals over spheres of radius 1.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp data-start=\"1456\" data-end=\"1642\"\u003eThis edition is based on the \u003cstrong data-start=\"1485\" data-end=\"1501\"\u003e1955 edition\u003c\/strong\u003e, making it an essential reference for anyone interested in the theoretical aspects of partial differential equations and their applications.\u003c\/p\u003e\n\u003cp data-start=\"1644\" data-end=\"1661\"\u003e\u003cstrong data-start=\"1644\" data-end=\"1661\"\u003eKey Features:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul data-start=\"1662\" data-end=\"2051\"\u003e\n\u003cli data-start=\"1662\" data-end=\"1738\"\u003e\n\u003cp data-start=\"1664\" data-end=\"1738\"\u003eA \u003cstrong data-start=\"1666\" data-end=\"1703\"\u003eclear and elementary introduction\u003c\/strong\u003e to partial differential equations.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1739\" data-end=\"1846\"\u003e\n\u003cp data-start=\"1741\" data-end=\"1846\"\u003eIn-depth coverage of fundamental concepts like \u003cstrong data-start=\"1788\" data-end=\"1816\"\u003eplane wave decomposition\u003c\/strong\u003e and \u003cstrong data-start=\"1821\" data-end=\"1845\"\u003eRadon transformation\u003c\/strong\u003e.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1847\" data-end=\"1963\"\u003e\n\u003cp data-start=\"1849\" data-end=\"1963\"\u003eSolutions to key problems like \u003cstrong data-start=\"1880\" data-end=\"1916\"\u003ehomogeneous hyperbolic equations\u003c\/strong\u003e and \u003cstrong data-start=\"1921\" data-end=\"1949\"\u003eintegral representations\u003c\/strong\u003e of functions.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1964\" data-end=\"2051\"\u003e\n\u003cp data-start=\"1966\" data-end=\"2051\"\u003eIdeal for both \u003cstrong data-start=\"1981\" data-end=\"1993\"\u003estudents\u003c\/strong\u003e and professionals in \u003cstrong data-start=\"2015\" data-end=\"2030\"\u003emathematics\u003c\/strong\u003e and \u003cstrong data-start=\"2035\" data-end=\"2050\"\u003eengineering\u003c\/strong\u003e.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp data-start=\"2053\" data-end=\"2207\"\u003eThis Dover edition offers a precise and easy-to-follow exploration of PDEs, perfect for gaining a solid understanding of these core mathematical concepts.\u003c\/p\u003e","brand":"DOVE PUB","offers":[{"title":"Default Title","offer_id":49944845615408,"sku":"Sarat_9780486438047","price":924.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/dove-pub-book-default-title-plane-waves-and-spherical-means-applied-to-partial-differential-equations-dover-books-on-mathematics-41299672301872.jpg?v=1775948114","url":"https:\/\/www.retailmaharaj.com\/bn\/products\/plane-waves-and-spherical-means-applied-to-partial-differential-equations-dover-books-on-mathematics","provider":"Retail Maharaj","version":"1.0","type":"link"}