Introducing those areas of mathematics which are most important to practical problem-solving in engineering, this book pays particular attention to ordinary differential equations, linear algebra and vector analysis, complex analysis, and numerical methods. Fourier series and partial differential equations are also covered thoroughly. The problem sets in this edition have been updated and revised to give greater weight to modeling, phase-plane and numerical multi-step methods, and applications. Each section includes examples and problems illustrating concepts, methods and results, and their engineering applications.