Nonstandard Asymptotic Analysis

ISBN-13: 9783540177678 / Angielski / Miękka / 1987 / 192 str.

Imme Van Den Berg

Opis

Considers the subject of asymptotics from a nonstandard view point. Noting that within nonstandard analysis, 'small', 'large', and 'domain of validity of asymptotic behaviour' have a precise meaning, this research monograph develops a nonstandard alternative to classical asymptotics.

Spis treści

Four examples of nonstandard reasoning in asymptotics.- Asymptotic expressions for the remainders associated to expansions of type , where cn+p/cn ? c.- Asymptotic expressions for the remainders associated to expansions of type : Critical regions, uniform behaviour.- External sets.- Approximation lemma's.- Shadow expansions.