Analyzable Functions And Applications: International Workshop On Analyzable Functions And Applications, June 17-21, 2002, International Centre For ... Scotland

In these proceedings from the June 2002 workshop, participants build on the work of Écalle, Euler, Cauchy, Stokes, Hardy and Borel as they present their studies in a wide class of asymptotic expansion methods and their applications in analysis, difference, and differential equations, partial differential equations and other areas of mathematics. Paper topics include studies of a singularly perturbed Riccati equation, asymptotic differential algebra, non- oscillating integral curves and o-minimal structures, topological construction of transseries and an introduction of generalized Borel summability, higher-order norms for the Moivre-Laplace theorem, matching the similarities of canard values, and generalizing surreal numbers. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)