{"product_id":"partial-differential-equations-in-action-from-modelling-to-theory-paperback","title":"Partial Differential Equations in Action: From Modelling to Theory - Paperback","description":"\u003cp\u003eby \u003cb\u003eSandro Salsa\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book is designed as an advanced undergraduate or a first-year graduate\u003c\/p\u003e \u003cp\u003ecourse for students from various disciplines like applied mathematics, \u003c\/p\u003e \u003cp\u003ephysics, engineering.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eThe main purpose is on the one hand to train the students to appreciate the\u003c\/p\u003e \u003cp\u003einterplay between theory and modelling in problems arising in the applied\u003c\/p\u003e \u003cp\u003esciences; on the other hand to give them a solid theoretical background for\u003c\/p\u003e \u003cp\u003enumerical methods, such as finite elements.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eAccordingly, this textbook is divided into two parts.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eThe first one has a rather elementary character with the goal of\u003c\/p\u003e \u003cp\u003edeveloping and studying basic problems from the macro-areas of diffusion, \u003c\/p\u003e \u003cp\u003epropagation and transport, waves and vibrations. Ideas and connections with\u003c\/p\u003e \u003cp\u003econcrete aspects are emphasized whenever possible, in order to provide\u003c\/p\u003e \u003cp\u003eintuition and feeling for the subject.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eFor this part, a knowledge of advanced calculus and ordinary differential\u003c\/p\u003e \u003cp\u003eequations is required. Also, the repeated use of the method of separation of\u003c\/p\u003e \u003cp\u003evariables assumes some basic results from the theory of Fourier series, \u003c\/p\u003e \u003cp\u003ewhich are summarized in an appendix.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eThe main topic of the second part is the\u003c\/p\u003e \u003cp\u003edevelopment of Hilbert space methods for the variational formulation and\u003c\/p\u003e \u003cp\u003eanalysis of linear boundary and initial-boundary value problems\\emph{. }%\u003c\/p\u003e \u003cp\u003eGiven the abstract nature of these chapters, an effort has been made to\u003c\/p\u003e \u003cp\u003eprovide intuition and motivation for the various concepts and results.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eThe understanding of these topics requires some basic knowledge of Lebesgue\u003c\/p\u003e \u003cp\u003emeasure and integration, summarized in another appendix.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eAt the end of each chapter, a number of exercises at different level of\u003c\/p\u003e \u003cp\u003ecomplexity is included. The most demanding problems are supplied with\u003c\/p\u003e \u003cp\u003eanswers or hints.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eThe exposition if flexible enough to allow substantial changes without\u003c\/p\u003e \u003cp\u003ecompromising the comprehension and to facilitate a selection of topics for a\u003c\/p\u003e \u003cp\u003eone or two semester course.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 556\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.3 x 9 x 6.1 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 17, 2007\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42739869941823,"sku":"9788847007512","price":106.9,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0105\/8226\/1823\/files\/62726cd8b6c9c7dee0ae65ff95b825a5.webp?v=1765158093","url":"https:\/\/dhlswag.com\/products\/partial-differential-equations-in-action-from-modelling-to-theory-paperback","provider":"BBB","version":"1.0","type":"link"}