Perturbations

Preface to the Classics Edition Preface Part I: Introduction to Perturbation Theory. Chapter 1: Root Finding Chapter 2: Regular Perturbations Chapter 3: Direct Error Estimation Part II: Oscillatory Phenomena. Chapter 4: Periodic Solutions and Lindstedt Series Chapter 5: Multiple Scales Chapter 6: Averaging Part III: Transition Layers. Chapter 7: Initial Layers Chapter 8: Boundary Layers Chapter 9: Methods of the WKB Type Appendix A: Taylor's Theorem Appendix B: The Implicit Function Theorem Appendix C: Second Order Differential Equations Appendix D: Systems of Differential Equations Appendix E: Fourier Series Appendix F: Lipschitz Constants and Vector Norms Appendix G: Logical Quantifiers and Uniformity Symbol Index Index.