Asymptotic and Perturbational Methods

(online textbook for APM 441)

Victor Ivrii

Table of Contents


Chapter 1. Introduction

Chapter 2. Asymptotic expansion of integrals

Chapter 3. Local Methods

Chapter 4. Perturbation methods for ODEs

Chapter 5. Semiclassical and High Frequency Asymptotics

Chapter 6. WKB in dimension d=1

Chapter 7. WKB in dimension d>1

Chapter 8. Multiple-scale Analysis

Extra textbooks may be useful.