Differential Equations for Engineers: The Essentials

by David V. Kalbaugh

Overview

This book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs), and concisely presents the topics of most use to engineers. It introduces each topic with a motivating application drawn from electrical, mechanical, and aerospace engineering. The text has reviews of foundations, step-by-step explanations, and sets of solved problems. It fosters students’ abilities in the art of approximation and self-checking. The book addresses PDEs with and without boundary conditions, which demonstrates strong similarities with ordinary differential equations and clear illustrations of the nature of solutions. Furthermore, each chapter includes word problems and challenge problems. Several extended computing projects run throughout the text.

Product Details

ISBN-13:	9781498798815
Publisher:	Taylor & Francis
Publication date:	09/01/2017
Pages:	451
Product dimensions:	7.00(w) x 10.00(h) x (d)

About the Author

David V. Kalbaugh received his B.S. from the Johns Hopkins University in 1967; M.S. from Stanford University in 1968; and doctorate from University of Maryland in 1974. He was exposed to many practical problems across engineering and physics at Johns Hopkins University Applied Physics Laboratory, where he eventually retired as Assistant Director in 2005. Dr. Kalbaugh developed this text while teaching both engineering courses and differential equations as an adjunct Assistant Professor in the Mathematics and Computer Science Department at the University of Maryland Eastern Shore from 2008-2014. UMES achieved ABET accreditation of its engineering program in August 2013.

Table of Contents

Introduction. First-Order Linear Ordinary Differential Equations. First-Order Nonlinear Ordinary Differential Equations. Existence, Uniqueness, and Qualitative Analysis. Second-Order Linear Ordinary Differential Equations. Higher-Order Linear Ordinary Differential Equations. Laplace Transforms. Systems of First-Order Ordinary Differential Equations. Partial Differential Equations.