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...
Main Authors: | , |
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Format: | eBook |
Language: | English |
Published: |
Boston, MA
Birkhäuser
1994, 1994
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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