Ordinary Differential Equations
This uncommonly well-written and effectively arranged introductory course offers a thorough examination of ordinary differential equations – equations that explain the connection between variables and their derivatives. Morris Tenenbaum of Cornell University and Harry Pollard of Purdue University introduce and explain complex, critically essential concepts to undergraduate students of mathematics, engineering, and the sciences in a deceptively simple, step-by-step method that never loses mathematical rigor.
Ordinary Differential Equations opens with a part that discusses the origins of differential equations, defines basic concepts, and outlines the general solution of a differential equation—the solution that contains every solution of such an equation. Following sections include topics such as integrating factors, dilution and accretion problems, complex number algebra, linearization of first order systems, Laplace Transforms, Newton's Interpolation Formulas, and Picard's Method of Successive Approximations.
There are two outstanding chapters in the book: one on series methods of solving differential equations and the other on numerical methods of solving differential equations. The first covers the Legendre Differential Equation, Legendre Functions, Legendre Polynomials, Bessel Differential Equation, and Laguerre Differential Equation. Every term is described clearly throughout the book, and every theorem is lucidly and thoroughly examined, and there is an amazing balance between differential equation theory and application. Ordinary Differential Equations' relevance as a classroom work for undergraduate students and teaching professionals is enhanced by a wealth of solved problems and practice exercises. The book closes with an in-depth analysis of existence and uniqueness theorems for various differential equations, as well as an introduction to determinant theory and Wronskians theorems.
Author: Morris Tenenbaum and Harry Pollard
Link to buy: https://www.amazon.com/Ordinary-Differential-Equations-Dover-Mathematics/dp/0486649407/
Ratings: 4.5 out of 5 stars (from 498 reviews)
Best Sellers Rank: #62,394 in Books
#10 in Differential Equations (Books)
#25 in Calculus (Books)
