{"product_id":"greens-functions-and-linear-differential-prem-k-kythe-9781439840085","title":"Green's Functions and Linear Differential Equations: Theory, Applications, and Computation","description":"\u003cp\u003e\u003cstrong\u003eGreen's Functions and Linear Differential Equations: Theory, Applications, and Computation\u003c\/strong\u003e presents a variety of methods to solve linear ordinary differential equations (ODEs) and partial differential equations (PDEs). The text provides a sufficient theoretical basis to understand Green's function method, which is used to solve initial and boundary value problems involving linear ODEs and PDEs. It also contains a large number of examples and exercises from diverse areas of mathematics, applied science, and engineering.\u003c\/p\u003e\u003cp\u003eTaking a direct approach, the book first unravels the mystery of the Dirac delta function and then explains its relationship to Green's functions. The remainder of the text explores the development of Green's functions and their use in solving linear ODEs and PDEs. The author discusses how to apply various approaches to solve initial and boundary value problems, including classical and general variations of parameters, Wronskian method, Bernoulli's separation method, integral transform method, method of images, conformal mapping method, and interpolation method. He also covers applications of Green's functions, including spherical and surface harmonics.\u003c\/p\u003e\u003cp\u003eFilled with worked examples and exercises, this robust, self-contained text fully explains the differential equation problems, includes graphical representations where necessary, and provides relevant background material. It is mathematically rigorous yet accessible enough for readers to grasp the beauty and power of the subject.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Prem K. Kythe\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1439840083\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781439840085\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 01\/21\/2011\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 382\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.46lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.20h x 6.20w x 1.00d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eReference and Research Bk News\u003c\/i\u003e 04\/01\/2011 pg. 284","brand":"Prem K. Kythe","offers":[{"title":"Hardcover","offer_id":44127666012415,"sku":"9781439840085","price":170.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_d1910098-6773-4f84-9b25-d4146ab0dc05.jpg?v=1687454547","url":"https:\/\/www.whiterainbookhouse.com\/products\/greens-functions-and-linear-differential-prem-k-kythe-9781439840085","provider":"WR Book House","version":"1.0","type":"link"}