8.   Saddle-Point Asymptotics



VIII.1 Landscapes of analytic functions and saddle-points


VIII.2 Saddle-point bounds


VIII.3 Overview of the saddle-point method


VIII.4 Three combinatorial examples


VIII.5 Admissibility


VIII.6 Integer partitions


VIII.7 Saddle-points and linear differential equations


VIII.8 Large powers


VIII.9 Saddle-points and probability distributions


VIII.10 Multiple saddle-points


VIII.11 Perspective