Wei-Chau XieCambridge University PressEdition: Reprint, 1/2/2014EAN 9781107632950, ISBN10: 1107632951Paperback, 568 pages, 25.4 x 17.8 x 2.9 cmLanguage: EnglishXie 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. Introduction2. First-order and simple higher-order differential equations3. Applications of first-order and simple higher-order equations4. Linear differential equations5. Applications of linear differential equations6. The Laplace transform and its applications7. Systems of linear differential equations8. Applications of systems of linear differential equations9. Series solutions of differential equations10. Numerical solutions of differential equations11. Partial differential equations12. Solving ordinary differential equations using MapleAppendix A. Tables of mathematical formulas.
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