Thinking About Ordinary Differential Equations (Record no. 38567)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02206nam a2200217 a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780521557429 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 0521557429 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780521553148 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 0521553148 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.352 |
| Item number | OMA |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | O'Malley, Robert E. |
| 245 ## - TITLE STATEMENT | |
| Title | Thinking About Ordinary Differential Equations |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Cambridge: |
| Name of publisher | Cambridge University Press, |
| Year of publication | 1997. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | x, 247 pages : |
| Other physical details | illustrations ; |
| 490 ## - SERIES STATEMENT | |
| Series statement | Cambridge texts in applied mathematics. |
| 500 ## - GENERAL NOTE | |
| General note | Index |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. First-order equations --<br/>2. Linear second-order equations --<br/>3. Power series solutions and special functions --<br/>4. Systems of linear differential equations --<br/>5. Stability concepts --<br/>6. Singular perturbation methods. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Ordinary differential equations - the building blocks of mathematical modelling - are also key elements of disciplines as diverse as engineering and economics. Although mastery of these equations is essential, adhering to any one method of solving them is not: This book stresses alternative examples and analyses by means of which the student can build an understanding of a number of approaches to finding solutions and understanding their behavior. The text includes brief expositions of standard topics, including first-order equations, homogeneous and nonhomogeneous second-order linear equations, power series expansions about regular and regular singular points, linear systems theory, and stability concepts for both the phase plane and higher-dimensional systems. A variety of exercises and examples is included, and readers are encouraged to try alternative approaches to find solutions that integrate and build upon ideas introduced in earlier chapters. This book offers not only an applied perspective for the student learning to solve differential equations, but also the challenge to apply these analytical tools in the context of singular perturbations, which arises in many areas of application. An important resource for the advanced undergraduate, this book would be equally useful for the beginning graduate student investigating further approaches to these essential equations |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential equations. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Reference 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 | Reference | 26/03/2004 | Purchased | 2961.75 | 515.352 OMA | 008755 | Reference Books |