{"product_id":"ordinary-differential-equations-an-elementary-textbook-for-students-of-mathematics-engineering-and-the-sciences-paperback","title":"Ordinary Differential Equations: An Elementary Textbook for Students of Mathematics, Engineering, and the Sciences - Paperback","description":"\u003cp\u003eby \u003cb\u003eMorris Tenenbaum\u003c\/b\u003e (Author), \u003cb\u003eHarry Pollard\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis unusually well-written, skillfully organized introductory text provides an exhaustive survey of ordinary differential equations -- equations which express the relationship between variables and their derivatives. In a disarmingly simple, step-by-step style that never sacrifices mathematical rigor, the authors -- Morris Tenenbaum of Cornell University, and Harry Pollard of Purdue University -- introduce and explain complex, critically-important concepts to undergraduate students of mathematics, engineering and the sciences.\u003cbr\u003eThe book begins with a section that examines the origin of differential equations, defines basic terms and outlines the general solution of a differential equation-the solution that actually contains \u003ci\u003eevery \u003c\/i\u003esolution of such an equation. Subsequent sections deal with such subjects as: integrating factors; dilution and accretion problems; the algebra of complex numbers; the linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas; and Picard's Method of Successive Approximations.\u003cbr\u003eThe book contains two exceptional chapters: one on series methods of solving differential equations, the second on numerical methods of solving differential equations. The first includes a discussion of the Legendre Differential Equation, Legendre Functions, Legendre Polynomials, the Bessel Differential Equation, and the Laguerre Differential Equation. Throughout the book, every term is clearly defined and every theorem lucidly and thoroughly analyzed, and there is an admirable balance between the \u003ci\u003etheory \u003c\/i\u003eof differential equations and their \u003ci\u003eapplication. \u003c\/i\u003eAn abundance of solved problems and practice exercises enhances the value of \u003ci\u003eOrdinary Differential Equations \u003c\/i\u003eas a classroom text for undergraduate students and teaching professionals. The book concludes with an in-depth examination of existence and uniqueness theorems about a variety of differential equations, as well as an introduction to the theory of determinants and theorems about Wronskians.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\n        \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 832\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.6 x 8.4 x 5.5 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e October 01, 1985\u003c\/div\u003e\n            ","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":51756229919008,"sku":"9780486649405","price":44.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0974\/9764\/5344\/files\/6c4c5bee6b891d7521ff7d81c794f7b2.webp?v=1780077003","url":"https:\/\/ebocreations.com\/products\/ordinary-differential-equations-an-elementary-textbook-for-students-of-mathematics-engineering-and-the-sciences-paperback","provider":"The E-Book Oasis LLC","version":"1.0","type":"link"}