| Title Details: | |
|
Elements of asymptotic analysis |
|
| Other Titles: |
Integrals, sums, special functions |
| Authors: |
Doumas, Aristides |
| Reviewer: |
Konstandopoulos, Takis |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > ORDINARY DIFFERENTIAL EQUATIONS > ASYMPTOTIC THEORY |
| Keywords: |
Asymptotic expansion
Asymptotic series Laplace integrlas Watson's lemma Method of steepest descents Stokes phenomenon Method of stationary phase Asymptotic behaviour of sums Euler Maclaurin summation formula Special functions |
| Description: | |
| Abstract: |
This book serves the basic techniques in asymptotic analysis and is divided in two parts. The first part deals with the asymptotic behavior of integrals. We present the Laplace method for integrals, and Watson’s lemma. We continue with the method of steepest descents and the method of stationary phase. Emphasis has been given on some special functions, e.g., Gamma, Airy, Bessel. The second part studies the asymptotic behaviors of sums. The main tools are summation by parts, Euler Maclaurin summation formula, and Laplace method for sums
|
| Linguistic Editors: |
Kalliaras, Dimitrios |
| Technical Editors: |
Karatzidis, Dimitrios |
| Graphic Editors: |
Douma, Emmeleia-Anastasia |
| Type: |
Undergraduate textbook |
| Creation Date: | 03-08-2022 |
| Item Details: | |
| ISBN |
978-618-85850-9-6 |
| License: |
Attribution - NonCommercial - ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
| DOI | http://dx.doi.org/10.57713/kallipos-38 |
| Handle | http://hdl.handle.net/11419/8415 |
| Bibliographic Reference: | Doumas, A. (2022). Elements of asymptotic analysis [Undergraduate textbook]. Kallipos, Open Academic Editions. https://dx.doi.org/10.57713/kallipos-38 |
| Language: |
Greek |
| Consists of: |
1. Introduction 2. Asymptotic expansions of integrals 3. Asymptotic expansions of sums |
| Number of pages |
170 |
| Publication Origin: |
Kallipos, Open Academic Editions |
| User comments | |
There are no published comments available! | |