Xie presents a systematic introduction to ordinary differential equations forengineering 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 areused to facilitate mathematical modeling of application problems. Readers aremotivated by a focus on the relevance of differential equations through theirapplications 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. INDICE: 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 ofdifferential equations; 11. Partial differential equations; 12. Solving ordinary differential equations using Maple; Appendix A. Tables of mathematical formulas.
- ISBN: 978-0-521-19424-2
- Editorial: Cambridge University
- Encuadernacion: Cartoné
- Páginas: 550
- Fecha Publicación: 01/04/2010
- Nº Volúmenes: 1
- Idioma: Inglés