Differential Equations for Engineers

by Wei-Chau Xie

• ISBN13: 9780521194242
• ISBN10: 0521194245
• Edition: 1st
• Format: Hardcover
• Copyright: 2010-04-26
• Publisher: Cambridge University Press

Summary

Xie presents a systematic introduction to ordinary differential equations for engineering students and practitioners. Mathematical concepts and various techniques are presented in a clear, logical, and concise manner. Various visual features are used to highlight focus areas. Complete illustrative diagrams are used to facilitate mathematical modeling of application problems. Readers are motivated by a focus on the relevance of differential equations through their applications in various engineering disciplines. Studies of various types of differential equations are determined by engineering applications. Theory and techniques for solving differential equations are then applied to solve practical engineering problems. A step-by-step analysis is presented to model the engineering problems using differential equations from physical principles and to solve the differential equations using the easiest possible method. This book is suitable for undergraduate students in engineering.

Table of Contents

Introduction

First-order and simple higher-order differential equations

Applications of first-order and simple higher-order equations

Linear differential equations

Applications of linear differential equations

The Laplace transform and its applications

Systems of linear differential equations

Applications of systems of linear differential equations

Series solutions of differential equations

Numerical solutions of differential equations

Partial differential equations

Solving ordinary differential equations using Maple

Tables of mathematical formulas

Table of Contents provided by Publisher. All Rights Reserved.