This chapter contains sections titled:General ConsiderationsIsolated First-Order Saddle PointsIsolated Saddle Points of Higher OrderFirst-Order Saddle Point and Nearby SingularitiesNearby First-Order Saddle PointsSaddle Points Near an EndpointMultiple IntegralsIntegration Around a Branch PointAppendix 4A. Higher-Order Derivatives ofG(s) =f(z)dz/dsAppendix 4B. Properties of the Airy FunctionsReferences