Perturbation methods in applied mathematics / (Record no. 13688)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 01956nam a2200157 a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 3540905073 (hardcover) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783540905073 (hardcover) |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Cole, J.D. |
| 245 10 - TITLE STATEMENT | |
| Title | Perturbation methods in applied mathematics / |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | [S.l.] : |
| Name of publisher | Springer-Verlag Berlin and Heidelberg GmbH & Co. K, |
| Year of publication | 1981. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 558 p. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book is a revised and updated version, including a substantial portion of new material, of J. D. Cole's text Perturbation Methods in Applied MatheοΏ½ matics, Ginn-Blaisdell, 1968. We present the material at a level which assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate level course on the subject. The applied mathematician, attempting to understand or solve a physical problem, very often uses a perturbation procedure. In doing this, he usually draws on a backlog of experience gained from the solution of similar examples rather than on some general theory of perturbations. The aim of this book is to survey these perturbation methods, especially in connection with differοΏ½ ential equations, in order to illustrate certain general features common to many examples. The basic ideas, however, are also applicable to integral equations, integrodifferential equations, and even to_difference equations. In essence, a perturbation procedure consists of constructing the solution for a problem involving a small parameter B, either in the differential equation or the boundary conditions or both, when the solution for the limiting case B = 0 is known. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of B. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Kevorkian, J.K. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.amazon.com/exec/obidos/ASIN/3540905073/chopaconline-20 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Home library | Current library | Date acquired | Cost, normal purchase price | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|
| Seminar Library, Mathematics & Statis. | Seminar Library, Mathematics & Statis. | 10/08/2015 | 1540.00 | 510KEV | 10471 | Books |