{"product_id":"9783319806396","title":"Differential and Difference Equations: A Comparison of Methods of Solution","description":"\u003ch1\u003eDifferential and Difference Equations: A Comparison of Methods of Solution\u003c\/h1\u003e \u003ch2\u003eMaximon, Leonard C.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book, intended for researchers and\ngraduate students in physics, applied mathematics and engineering, presents a\ndetailed comparison of the important methods of solution for linear\ndifferential and difference equations - variation of constants, reduction of\norder, Laplace transforms and generating functions - bringing out the\nsimilarities as well as the significant differences in the respective analyses.\nEquations of arbitrary order are studied, followed by a detailed analysis for\nequations of first and second order. Equations with polynomial coefficients are\nconsidered and explicit solutions for equations with linear coefficients are\ngiven, showing significant differences in the functional form of solutions of\ndifferential equations from those of difference equations. An alternative\nmethod of solution involving transformation of both the dependent and\nindependent variables is given for both differential and difference equations.\nA comprehensive, detailed treatment of Green’s functions and the associated\ninitial and boundary conditions is presented for differential and difference\nequations of both arbitrary and second order. A dictionary of difference\nequations with polynomial coefficients provides a unique compilation of second\norder difference equations obeyed by the special functions of mathematical\nphysics. Appendices augmenting the text include, in particular, a proof of\nCramer’s rule, a detailed consideration of the role of the superposition\nprincipal in the Green’s function, and a derivation of the inverse of Laplace\ntransforms and generating functions of particular use in the solution of second\norder linear differential and difference equations with linear coefficients.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-04-22\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319806396\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-29736-1\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 162\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":47525484265612,"sku":"9783319806396","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319806396.jpg?v=1776025470","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319806396","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}