{"product_id":"partial-differential-equations-in-action-from-modelling-to-theory-paperback","title":"Partial Differential Equations in Action: From Modelling to Theory - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eSandro Salsa\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003cp\u003eThe main purpose is on the one hand to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences; on the other hand to give them a solid theoretical background for numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first one has a rather elementary character with the goal of developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. Ideas and connections with concrete aspects are emphasized whenever possible, in order to provide intuition and feeling for the subject. For this part, a knowledge of advanced calculus and ordinary differential equations is required. Also, the repeated use of the method of separation of variables assumes some basic results from the theory of Fourier series, which are summarized in an appendix.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eThe main topic of the second part is the development of Hilbert space methods for the variational formulation and analysis of linear boundary and initial-boundary value problems\\emph{. }%. Given the abstract nature of these chapters, an effort has been made to provide intuition and motivation for the various concepts and results. The understanding of these topics requires some basic knowledge of Lebesgue measure 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 complexity is included. The most demanding problems are supplied with answers or hints. The exposition if flexible enough to allow substantial changes without compromising the comprehension and to facilitate a selection of topics for a one or two semester course.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\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 \u003cp\u003e\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 556\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.3 x 9 x 6.1 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 17, 2007\u003c\/div\u003e\n            ","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":50457476890861,"sku":"9788847007512","price":97.18,"currency_code":"USD","in_stock":false}],"url":"https:\/\/www.webster.direct\/products\/partial-differential-equations-in-action-from-modelling-to-theory-paperback","provider":"Webster.Direct","version":"1.0","type":"link"}