Singular Perturbation Theory: An Introduction with Applications

 Preface; Acknowledgments; Preliminary results; Part I. Initial-Value Problems of Oscillatory Type: 1. Precession of the planet Mercury; 2. Krylov/Bogoliubov averaging; 3. The multiscale technique; 4. Error estimates for perturbed-oscillation problems; Part II. Initial-Value Problems of Overdamped Type: 5. Linear overdamped initial-value problems; 6. Nonlinear overdamped initial-value problems; 7. Conditionally stable problems; Part III. Boundary-Value Problems: 8. Linear scalar problems; 9. Linear first-order systems; 10. Nonlinear problems; References; Name index; Subject index.