Differential Equations for Engineers

A systematic and comprehensive introduction to ordinary differential equations for engineering students and practitioners.

Wei-Chau Xie (Author)

9780521194242, Cambridge University Press

Hardback, published 26 April 2010

568 pages, 95 b/w illus. 8 tables 465 exercises
25.9 x 18 x 3.8 cm, 1.22 kg

"It is warmly recommended as a core reading for a standard one-semester course on dierential equations for engineering students. The material in the book is very carefully organized, the presentation is transparent and rigorous, numerous illustrations, use of shades and mini-diagrams" in formulas help to follow the details better and to grab the ideas faster." - Yuri V. Rogovchenko, ZentralBlatt MATH

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.

1. Introduction
2. First-order and simple higher-order differential equations
3. Applications of first-order and simple higher-order equations
4. Linear differential equations
5. Applications of linear differential equations
6. The Laplace transform and its applications
7. Systems of linear differential equations
8. Applications of systems of linear differential equations
9. Series solutions of differential equations
10. Numerical solutions of differential equations
11. Partial differential equations
12. Solving ordinary differential equations using Maple
Appendix A. Tables of mathematical formulas.

Subject Areas: Maths for engineers [TBJ], Applied mathematics [PBW], Differential calculus & equations [PBKJ]