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Applied Engineering Mathematics
CISP - Cambridge International Science Publishing, June 2007
Vast literature exists on engineering mathematics, mathematical modelling and numerical methods. The topics in engineering mathematics are very diverse and the syllabus of mathematics itself is evolving. Therefore, there is a decision to select the topics and limit the number of chapters so that the book remain concise and yet comprehensive enough to include all the important mathematical methods and popular numerical methods. This book endeavors to strike a balance between mathematical and numerical coverage of a wide range of mathematical methods and numerical techniques. It strives to provide an introduction, especially for undergraduates and graduates, to engineering mathematics and its applications. Topics include advanced calculus, ordinary differential equations, partial differential equations, vector and tensor analysis, calculus of variations, integral equations, the finite difference method, the finite volume method, the finite element method, reaction-diffusion system, and probability and statistics. This book also emphasizes the application of important mathematical methods with dozens of worked examples. The applied topics includes elasticity, harmonic motion, chaos, kinematics, pattern formation and hypothesis testing. The book can serve as a textbook in engineering mathematics, mathematical modelling, and scientific computing.
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