An Introduction to Ordinary Differential Equations (Record no. 210400)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03465nam a2200241Ia 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220418144830.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220128s9999 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780486659428 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.35 |
| Item number | COD/I |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Coddington, Earl A. |
| 9 (RLIN) | 6693 |
| 245 #3 - TITLE STATEMENT | |
| Title | An Introduction to Ordinary Differential Equations |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | New York: |
| Date of publication, distribution, etc. | 1989. |
| Name of publisher, distributor, etc. | Dover Publications, |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xi,292p. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Dover books on mathematics. |
| 9 (RLIN) | 6695 |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover; Title Page; Copyright Page; Dedication; Preface; Contents; Chapter 0. Preliminaries; 1. Introduction; 2. Complex numbers; 3. Functions; 4. Polynomials; 5. Complex series and the exponential function; 6. Determinants; 7. Remarks on methods of discovery and proof; Chapter 1. Introduction-Linear Equations of the First Order; 1. Introduction; 2. Differential equations; 3. Problems associated with differential equations; 4. Linear equations of the first order; 5. The equation y′ + ay = 0; 6. The equation y′ + ay = b(x); 7. The general linear equation of the first order. Chapter 2. Linear Equations with Constant Coefficients1. Introduction; 2. The second order homogeneous equation; 3. Initial value problems for second order equations; 4. Linear dependence and independence; 5. A formula for the Wronskian; 6. The non-homogeneous equation of order two; 7. The homogeneous equation of order n; 8. Initial value problems for n-th order equations; 9. Equations with real constants; 10. The non-homogeneous equation of order n; 11. A special method for solving the non-homogeneous equation; 12. Algebra of constant coefficient operators. Chapter 3. Linear Equations with Variable Coefficients1. Introduction; 2. Initial value problems for the homogeneous equation; 3. Solutions of the homogeneous equation; 4. The Wronskian and linear independence; 5. Reduction of the order of a homogeneous equation; 6. The non-homogeneous equation; 7. Homogeneous equations with analytic coefficients; 8. The Legendre equation; *9. Justification of the power series method; Chapter 4. Linear Equations with Regular Singular Points; 1. Introduction; 2. The Euler equation; 3. Second order equations with regular singular points-an example. 4. Second order equations with regular singular points-the general case*5. A convergence proof; 6. The exceptional cases; 7. The Bessel equation; 8. The Bessel equation (continued); 9. Regular singular points at infinity; Chapter 5. Existence and Uniqueness of Solutions to First Order Equations; 1. Introduction; 2. Equations with variables separated; 3. Exact equations; 4. The method of successive approximations; 5. The Lipschitz condition; 6. Convergence of the successive approximations; 7. Non-local existence of solutions; 8. Approximations to, and uniqueness of, solutions. 9. Equations with complex-valued functionsChapter 6. Existence and Uniqueness of Solutions to Systems and n-th Order Equations; 1. Introduction; 2. An example-central forces and planetary motion; 3. Some special equations; 4. Complex n-dimensional space; 5. Systems as vector equations; 6. Existence and uniqueness of solutions to systems; 7. Existence and uniqueness for linear systems; 8. Equations of order n; References; Answers to Exercises; Index. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 9 (RLIN) | 5075 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential equations. |
| 9 (RLIN) | 4848 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Differential Equations / General. |
| 9 (RLIN) | 6696 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Koha item type | General Books |
| 947 ## - LOCAL PROCESSING INFORMATION (OCLC) | |
| a | 1295 |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Barcode | Date last seen | Cost, replacement price | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 14/03/2022 | 68 | 1386.38 | 515.35 COD/I | 050905 | 14/03/2022 | 1732.97 | 14/03/2022 | General Books |