Asymptotic Analysis A Distributional Approach

Asymptotic analysis is an old subject that has found applications in vari­ ous fields of pure and applied mathematics, physics and engineering. For instance, asymptotic techniques are used to approximate very complicated integral expressions that result from transform analysis. Similarly, the so­ lu...

Full description

Bibliographic Details
Main Authors: Estrada, Ricardo, Kanwal, Ram P. (Author)
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 1994, 1994
Edition:1st ed. 1994
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Basic Results in Asymptotics
  • 1.1 Introduction
  • 1.2 Order Symbols
  • 1.3 Asymptotic Series
  • 1.4 Algebraic and Analytic Operations
  • 1.5 Existence of Functions with a Given Asymptotic Expansion
  • 1.6 Asymptotic Power Series in a Complex Variable
  • 1.7 Asymptotic Approximation of Partial Sums
  • 1.8 The Euler-Maclaurin Summation Formula
  • 2 Introduction to the Theory of Distributions
  • 2.1 Introduction
  • 2.2 The Space of Distributions