| Titre : |
Operational methods in applied mathematics |
| Type de document : |
texte imprimé |
| Auteurs : |
Carslaw, Horatio Scott, Auteur ; Jaeger, John Conrad, Auteur |
| Editeur : |
New York : Dover publications |
| Année de publication : |
1963 |
| Collection : |
Dovers books on intermediate and advanced mathematics |
| Importance : |
XVI, 359 p. |
| Présentation : |
ill. |
| Format : |
21 cm |
| Note générale : |
Notes bibliogr. - Index |
| Langues : |
Anglais (eng) |
| Mots-clés : |
Calculus, Operational
Differential equations
Calcul symbolique
Equations différentielles |
| Index. décimale : |
517.2 Calcul différentiel. Différentiation |
| Résumé : |
The object of this book is to describe the application of the Laplace transformation to differantial equation, a simple and effective substitute for more difficult and obscure operational methods. Easily understood and quickly learned, the principles and techniques of the method will be vital interest to engineers and to all workers in applied mathematics. |
| Note de contenu : |
Summary :
1. Ordinary linear differential equations with constant coefficients
2. Electric circuit theory
3. Dynamical applications
4. The inversion theorem for the Laplace transformation and its application to ordinary linear differential equations with constant coefficients
5. Laplace transform method in the solution of linear partial differential equations
6. Conduction of heat
7. Variations of continuous mechanical systems
8. Hydrodynamics
9. Electric transmission lines
10. Electric wave and diffusion problems
11. Impulsive functions
12. General theorems on the Laplace transformation
13. Solutions suitable for large or small valus on the time
14. Chains of differential equations
15. Boudary value problems for ordinary linear differential equations |
Operational methods in applied mathematics [texte imprimé] / Carslaw, Horatio Scott, Auteur ; Jaeger, John Conrad, Auteur . - New York : Dover publications, 1963 . - XVI, 359 p. : ill. ; 21 cm. - ( Dovers books on intermediate and advanced mathematics) . Notes bibliogr. - Index Langues : Anglais ( eng)
| Mots-clés : |
Calculus, Operational
Differential equations
Calcul symbolique
Equations différentielles |
| Index. décimale : |
517.2 Calcul différentiel. Différentiation |
| Résumé : |
The object of this book is to describe the application of the Laplace transformation to differantial equation, a simple and effective substitute for more difficult and obscure operational methods. Easily understood and quickly learned, the principles and techniques of the method will be vital interest to engineers and to all workers in applied mathematics. |
| Note de contenu : |
Summary :
1. Ordinary linear differential equations with constant coefficients
2. Electric circuit theory
3. Dynamical applications
4. The inversion theorem for the Laplace transformation and its application to ordinary linear differential equations with constant coefficients
5. Laplace transform method in the solution of linear partial differential equations
6. Conduction of heat
7. Variations of continuous mechanical systems
8. Hydrodynamics
9. Electric transmission lines
10. Electric wave and diffusion problems
11. Impulsive functions
12. General theorems on the Laplace transformation
13. Solutions suitable for large or small valus on the time
14. Chains of differential equations
15. Boudary value problems for ordinary linear differential equations |
|
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