# Differential equations, with applications and historical notes / George F. Simmons, with a new chapter on numerical methods by John S. Robertson.

##### By: Simmons, George Finlay

Material type: TextLanguage: English Series: International series in pure and applied mathematicsPublisher: New York : McGraw-Hill, c1991[reprint 2003]Edition: 2nd edDescription: xxi, 629 p. : ill. ; 24 cmISBN: 0070575401 :; 9780070575400Subject(s): Differential equationsDDC classification: 515.35 LOC classification: QA372 | .S49 1991Online resources: Publisher description | Table of contents | WorldCat detailsItem type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|---|

Text | EWU Library Reserve Section | Non-fiction | 515.35 SID 1991 (Browse shelf) | C-1 | Not For Loan | 13662 | ||

Text | EWU Library Reserve Section | Non-fiction | 515.35 SID 1991 (Browse shelf) | C-2 | Not For Loan | 13993 | ||

Text | EWU Library Reserve Section | Non-fiction | 515.35 SID 1991 (Browse shelf) | C-3 | Not For Loan | 13994 | ||

Text | EWU Library Circulation Section | Non-fiction | 515.35 SID 1991 (Browse shelf) | C-4 | Available | 13995 | ||

Text | EWU Library Circulation Section | Non-fiction | 515.35 SID 1991 (Browse shelf) | C-5 | Available | 13996 | ||

Text | EWU Library Circulation Section | Non-fiction | 515.35 SID 1991 (Browse shelf) | C-6 | Available | 14122 |

Includes bibliographical references and index.

Table of contents 1. The nature of differential equations --

Families of curves --

Orthogonal trajectories --

Growth, decay, chemical reactions, and mixing --

Falling bodies and other motion problems --

The Brachistochrone --

Fermat and the Bernoullis --

2. First order equations --

Homogeneous equations --

Exact equations --

Integrating factors --

Linear equations --

Reduction of order --

The hanging chain --

Pursuit curves --

Simple electric circuits --

3. Second order linear equations --

Vibrations in mechanical and electrical systems --

Newton's Law of Gravitation and the motion of the planets --

Coupled harmonic oscillators --

4. Qualitative properties of solutions --

Oscillations and the Sturm Separation theorem --

The Sturm Comparison theorem --

5. Power series solutions and special functions --

Gauss's hypergeometric equation --

The point at infinity --

Hermite polynomials and quantum mechanics --

Chebyshev polynomials and the minimax property --

Riemann's equation --

6. Fourier series and orthogonal functions --

7. Partial differential equations and boundary value problems --

Eigenvalues, eigenfunctions, and the vibrating string --

The heat equation --

The Dirichlet problem for a circle --

Poisson's integral --

Sturm-Liouville problems --

8. Some special functions of mathematical physics --

Legendre polynomials --

Bessel functions --

9. Laplace transforms --

10. Systems of first order equations --

Linear systems --

11. Linear equations --

Liapunov --

Poincccaré-Bendixson theorem --

Proof of Liénard's theorem --

12. The calculus of variations --

13. The existence and uniqueness of solutions --

Successive approximations --

Picard --

14. Numerical methods --

Euler.

Electrical & Electronic Engineering

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