{"product_id":"essential-partial-differential-equations-david-f-griffiths-9783319225685","title":"Essential Partial Differential Equations: Analytical and Computational Aspects","description":"\u003cp\u003eThis volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and the use of flux-limiters when approximating hyperbolic conservation laws. The numerical analysis of difference schemes is rigorously developed using discrete maximum principles and discrete Fourier analysis. A novel feature is the inclusion of a chapter containing projects, intended for either individual or group study, that cover a range of topics such as parabolic smoothing, travelling waves, isospectral matrices, and the approximation of multidimensional advection-diffusion problems.\u003c\/p\u003e\u003cp\u003eThe underlying theory is illustrated by numerous examples and there are around 300 exercises, designedto promote and test understanding. They are starred according to level of difficulty. Solutions to odd-numbered exercises are available to all readers while even-numbered solutions are available to authorised instructors.\u003c\/p\u003e\u003cp\u003eWritten in an informal yet rigorous style, \u003ci\u003eEssential Partial Differential Equations\u003c\/i\u003e is designed for mathematics undergraduates in their final or penultimate year of university study, but will be equally useful for students following other scientific and engineering disciplines in which PDEs are of practical importance. The only prerequisite is a familiarity with the basic concepts of calculus and linear algebra.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e David F. Griffiths, John W. Dold, David J. Silvester\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3319225685\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783319225685\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/05\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 368\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.18lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.79d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eChoice\u003c\/i\u003e 07\/01\/2016","brand":"David F. Griffiths","offers":[{"title":"Paperback","offer_id":45477165727999,"sku":"9783319225685","price":37.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_d682b737-f09c-4af5-a0ae-09889836ee46.jpg?v=1715919235","url":"https:\/\/www.whiterainbookhouse.com\/products\/essential-partial-differential-equations-david-f-griffiths-9783319225685","provider":"WR Book House","version":"1.0","type":"link"}