Asymptotic Evaluation of Integrals

This chapter contains sections titled:

• General Considerations

• Isolated First-Order Saddle Points

• Isolated Saddle Points of Higher Order

• First-Order Saddle Point and Nearby Singularities

• Nearby First-Order Saddle Points

• Saddle Points Near an Endpoint

• Multiple Integrals

• Integration Around a Branch Point

• Appendix 4A. Higher-Order Derivatives of G(s) = f(z)dz/ds

• Appendix 4B. Properties of the Airy Functions

• References