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Ordinary Differential Equations: Methods and Applications
 
 
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Ordinary Differential Equations: Methods and Applications [Paperback]

W. T. Ang (Author), Y. S. Park (Author)

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Book Description

1599429756 978-1599429755 June 30, 2008
This introductory course in ordinary differential equations, intended for junior undergraduate students in applied mathematics, science and engineering, focuses on methods of solution and applications rather than theoretical analyses. Applications drawn mainly from dynamics, population biology and electric circuit theory are used to show how ordinary differential equations appear in the formulation of problems in science and engineering. The calculus required to comprehend this course is rather elementary, involving differentiation, integration and power series representation of only real functions of one variable. A basic knowledge of complex numbers and their arithmetic is also assumed, so that elementary complex functions which can be used for working out easily the general solutions of certain ordinary differential equations can be introduced. The pre-requisites just mentioned aside, the course is mainly self-contained. To promote the use of this course for self-study, suggested solutions are not only given to all set exercises, but they are also by and large complete with details.

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More About the Author

WT Ang graduated with a PhD in Applied Mathematics from the University of Adelaide, Australia, in 1987. He has published over 70 research papers, many of which are on the boundary element methods, in various international journals. He is presently affiliated with Nanyang Technological University in Singapore.

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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
required series solution, required general solution, required particular solution, series solution converges, external source voltage, fixed reference position, power series method, insert the formula, paste the formula, pursuit problem
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Use the Frobenius, Repeat Problem
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