de Bruijn, N. G. Asymptotic methods in analysis. (English) Zbl 0082.04202 Bibliotheca Mathematica. Vol. 4. Amsterdam: North-Holland Publishing Co.; Groningen: P. Noordhoff Ltd. xii, 200 p. (1958). Reviewer: E. M. Wright Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 161 Documents MSC: 26-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions 26A18 Iteration of real functions in one variable 26B10 Implicit function theorems, Jacobians, transformations with several variables 34E05 Asymptotic expansions of solutions to ordinary differential equations 41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) 44A10 Laplace transform 65F10 Iterative numerical methods for linear systems Keywords:asymptotic methods in analysis; implicit functions; summation; Laplace method for integrals; saddle point method and its applications; indirect asymptotics; iterated functions; differential equations PDF BibTeX XML OpenURL