Advanced Mathematical Methods For scientists & engineers (Record no. 21114)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02251nam a2200229 a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780387989310 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 0387989315 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780070044524 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 007004452X |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.4 |
| Item number | BEN |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Bender, Carl M. |
| 245 ## - TITLE STATEMENT | |
| Title | Advanced Mathematical Methods For scientists & engineers |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | McGraw-Hill Book Company |
| Place of publication | New York |
| Year of publication | ©1978. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xiv, 593 pages : |
| Other physical details | illustrations ; |
| 490 ## - SERIES STATEMENT | |
| Series statement | International series in pure and applied mathematics. |
| 500 ## - GENERAL NOTE | |
| General note | Includes Index |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | I. Fundamentals. Ordinary differential equations --<br/>Difference equations. II. Local analysis. Approximate solution of linear differential equations --<br/>Approximate solution of nonlinear differential equations --<br/>Approximate solution of difference equations --<br/>Asymptotic expansion of integrals. III. Perturbation methods. Perturbation series --<br/>Summation of series. IV. Global analysis. Boundary layer theory --<br/>WKB theory --<br/>Multiple-scale analysis. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential equations -- Numerical solutions. |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Orszag, Steven A. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Lending Books |
| Collection code | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|---|
| Reference | Main Library | Main Library | Stacks | 31/12/1994 | Purchased | 834.00 | 519.4 BEN | 002839 | Lending Books |