(Ebook) Ordinary Differential Equations: Methods and Applications by W.T. Ang, Y.S. Park ISBN 9781599429755, 9781599429748, 1599429756, 1599429748

(Ebook) Ordinary Differential Equations: Methods and Applications by W.T. Ang, Y.S. Park ISBN 9781599429755, 9781599429748, 1599429756, 1599429748

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.

Exercises are set not only to test the understanding of students but sometimes also to impart additional insights into the materials studied. Suggested solutions to all the exercises are given at the end of the chapters. To promote the use of this course for self-study, the solutions provided are by and large complete with details.