{"product_id":"introduction-to-partial-differential-equations-paperback","title":"Introduction to Partial Differential Equations - 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\u003eDavid Borthwick\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise. \u003cbr\u003eWithin each section the author creates a narrative that answers the five questions: \u003c\/p\u003e\u003col\u003e\n\u003cli\u003eWhat is the scientific problem we are trying to understand?\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eHow do we model that with PDE?\u003c\/li\u003e\n\u003cli\u003eWhat techniques can we use to analyze the PDE?\u003c\/li\u003e\n\u003cli\u003eHow do those techniques apply to this equation?\u003c\/li\u003e\n\u003cli\u003eWhat information or insight did we obtain by developing and analyzing the PDE?\u003c\/li\u003e\n\u003c\/ol\u003eThe text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspirationfor the development of methods. \u003cbr\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003eThis modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise.Within each section the author creates a narrative that answers the five questions: \u003cbr\u003e(1) What is the scientific problem we are trying to understand? \u003cbr\u003e(2) How do we model that with PDE? \u003cbr\u003e(3) What techniques can we use to analyze the PDE? \u003cbr\u003e(4) How do those techniques apply to this equation? \u003cbr\u003e(5) What information or insight did we obtain by developing and analyzing the PDE? \u003cbr\u003eThe text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspiration for the development of methods. \u003cbr\u003e\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eDavid Borthwick, Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 283\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.64 x 9.21 x 6.14 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 July 13, 2018\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47337098707193,"sku":"9783319840512","price":97.18,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/xKXhp7Vfiu9783319840512.webp?v=1769674961","url":"https:\/\/bookscloud.io\/products\/introduction-to-partial-differential-equations-paperback","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}