Thinking About Ordinary Differential Equations

by O'Malley, Robert E.

• ISBN13: 9780521557429
• ISBN10: 0521557429
• Format: Paperback
• Copyright: 1997-03-01
• Publisher: Cambridge Univ Pr

Summary

Ordinary differential equations - the building blocks of mathematical modelling - are also key elements of disciplines as diverse as engineering and economics. While mastery of these equations is essential, adhering to any one method of solving them is not: this book stresses alternative examples and analyses by means of which the student can build an understanding of a number of approaches to finding solutions and understanding their behaviour. This book offers not only an applied perspective for the student learning to solve differential equations, but also the challenge to apply these analytical tools in the context of singular perturbations, which arises in many areas of application. An important resource for the advanced undergradute, this book would be equally useful for the beginning graduate student investigating further approaches to these essential equations.

Table of Contents

1. First-order equations

2. Linear second-order equations

3. Power series solutions and special functions

4. Systems of linear differential equations

5. Stability concepts

6. Singular perturbation methods

General references

Index.