| Titre : |
Some mathematical methods of physics |
| Type de document : |
texte imprimé |
| Auteurs : |
Gerald Goertzel, Auteur ; Nunzio Tralli, Auteur |
| Editeur : |
New York : McGraw-Hill |
| Année de publication : |
1960 |
| Collection : |
McGraw-Hill paperbacks in science, mathematics and engineering num. 23646 |
| Importance : |
XI, 300 p. |
| Présentation : |
ill. |
| Format : |
20 cm |
| Note générale : |
Bibliogr. at the end of chapters. - Index |
| Langues : |
Anglais (eng) |
| Mots-clés : |
Mathematical physics
Physique mathématique |
| Index. décimale : |
51 Mathématiques |
| Résumé : |
Useful as background for a variety of fields in both theortical and applied physics, such as quantum mechanics, acoustics, electromagnetic theory and reactor physics, this fine book presents a comon set of mathematical techniques for nonmathematicians. They include basic concepts of linear operators, vector spaces, orthogonal functions and Fourier analysis, and Green's functions, as well as brief treatments of perturbation, variational and numerical methods. |
| Note de contenu : |
Summary :
I. Systems with a finite number of degrees of freedom.
1. Formulation of the problem and development of notation.
2. Solution for diagonalizable matrices.
3. The evaluation of a function of a matrix for an arbitrary matrix.
4. Vactor spaces and linear operators.
5. The dirac notation.
6. Periodic structures.
II. Systems with an infinite number of degress of freedom.
7. The transition to continuous systems.
8. Operators in continuous systems.
9. The Laplacian in one dimensions.
10. The Laplacian in two dimensions.
11. The Laplacian in three dimensions.
12. Green's functions.
13. Radiation and scattering problems.
III. Approximate methods.
14. Perturbation of eigenvalues.
15. Variational estimates.
16. Iteration procedures.
17. Construction of eigenvalue problems.
18. Numerical procedures. |
Some mathematical methods of physics [texte imprimé] / Gerald Goertzel, Auteur ; Nunzio Tralli, Auteur . - New York : McGraw-Hill, 1960 . - XI, 300 p. : ill. ; 20 cm. - ( McGraw-Hill paperbacks in science, mathematics and engineering; 23646) . Bibliogr. at the end of chapters. - Index Langues : Anglais ( eng)
| Mots-clés : |
Mathematical physics
Physique mathématique |
| Index. décimale : |
51 Mathématiques |
| Résumé : |
Useful as background for a variety of fields in both theortical and applied physics, such as quantum mechanics, acoustics, electromagnetic theory and reactor physics, this fine book presents a comon set of mathematical techniques for nonmathematicians. They include basic concepts of linear operators, vector spaces, orthogonal functions and Fourier analysis, and Green's functions, as well as brief treatments of perturbation, variational and numerical methods. |
| Note de contenu : |
Summary :
I. Systems with a finite number of degrees of freedom.
1. Formulation of the problem and development of notation.
2. Solution for diagonalizable matrices.
3. The evaluation of a function of a matrix for an arbitrary matrix.
4. Vactor spaces and linear operators.
5. The dirac notation.
6. Periodic structures.
II. Systems with an infinite number of degress of freedom.
7. The transition to continuous systems.
8. Operators in continuous systems.
9. The Laplacian in one dimensions.
10. The Laplacian in two dimensions.
11. The Laplacian in three dimensions.
12. Green's functions.
13. Radiation and scattering problems.
III. Approximate methods.
14. Perturbation of eigenvalues.
15. Variational estimates.
16. Iteration procedures.
17. Construction of eigenvalue problems.
18. Numerical procedures. |
|
Some mathematical methods of physics (1960)
