{"product_id":"9780470617960","title":"Fourier Series and Numerical Methods for Partial Differential Equations","description":"\u003ch1\u003eFourier Series and Numerical Methods for Partial Differential Equations\u003c\/h1\u003e\u003ch3\u003eRichard Bernatz\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Differential Equations \/ General\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003eThe importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practitioners in these fields. Striking a balance between theory and applications, \u003ci\u003eFourier Series and Numerical Methods for Partial Differential Equations\u003c\/i\u003e presents an introduction to the analytical and numerical methods that are essential for working with partial differential equations. Combining methodologies from calculus, introductory linear algebra, and ordinary differential equations (ODEs), the book strengthens and extends readers' knowledge of the power of linear spaces and linear transformations for purposes of understanding and solving a wide range of PDEs.  \u003cp\u003eThe book begins with an introduction to the general terminology and topics related to PDEs, including the notion of initial and boundary value problems and also various solution techniques. Subsequent chapters explore: \u003c\/p\u003e \u003cul\u003e \u003cli\u003eThe solution process for Sturm-Liouville boundary value ODE problems and a Fourier series representation of the solution of initial boundary value problems in PDEs\u003c\/li\u003e \u003cli\u003eThe concept of completeness, which introduces readers to Hilbert spaces \u003c\/li\u003e \u003cli\u003eThe application of Laplace transforms and Duhamel's theorem to solve time-dependent boundary conditions\u003c\/li\u003e \u003cli\u003e The finite element method, using finite dimensional subspaces\u003c\/li\u003e \u003cli\u003e The finite analytic method with applications of the Fourier series methodology to linear version of non-linear PDEs\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e Throughout the book, the author incorporates his own class-tested material, ensuring an accessible and easy-to-follow presentation that helps readers connect presented objectives with relevant applications to their own work. Maple is used throughout to solve many exercises, and a related Web site features Maple worksheets for readers to use when working with the book's one- and multi-dimensional problems.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eFourier Series and Numerical Methods for Partial Differential Equations\u003c\/i\u003e is an ideal book for courses on applied mathematics and partial differential equations at the upper-undergraduate and graduate levels. It is also a reliable resource for researchers and practitioners in the fields of mathematics, science, and engineering who work with mathematical modeling of physical phenomena, including diffusion and wave aspects.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e \u003cb\u003eRICHARD A. BERNATZ, PhD\u003c\/b\u003e, is Professor in the Department of Mathematics at Luther College. Dr. Bernatz is the author of numerous journal articles in his areas of research interest, which include climatology, mathematical models of watersheds, and computational fluid dynamics with applications in meteorology.\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e20 July 2010\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9780470617960\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e332\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e21.12\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44384762429580,"sku":"9780470617960","price":120.56,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780470617960.jpg?v=1780172638","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780470617960","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}