Thinking about Ordinary Differential Equations

ISBN-13: 9780521557429 / Angielski / Miękka / 1997 / 260 str.

Jr. Robert E. O'Malley; Jr. O'Malley; D. G. Crighton

Opis

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 students can understand a number of approaches to finding solutions and understanding their behavior. 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.

Recenzje

'To a significant extent the appeal for this book lies in the wealth of examples and solutions that have been selected more for further understanding than for drill. Through the process of review, I have discovered several mathematical developments that I would like to incorporate in my graduate level fluid mechanics and mathematics courses. I am sure other readers will come away with similar rewards from reading this delightful text.' P Weideman, Department of Mechanical Engineering, University of Colorado

Spis treści

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.