| Titre : |
Handbook of integral equations [2nd ed.] |
| Type de document : |
texte imprimé |
| Auteurs : |
Andrei Dmitrievich Polyanin, Auteur ; Alexander Vladimirovich Manzhirov, Auteur |
| Mention d'édition : |
Second edition |
| Editeur : |
London ; Boca Raton, Fla. : Chapman and Hall |
| Année de publication : |
cop. 2008 |
| Autre Editeur : |
Boca Raton ; London ; New York : CRC Press |
| Collection : |
Handbooks of mathematical equations |
| Importance : |
1 vol. (XXXIII, 1108 p.) |
| Présentation : |
ill. |
| Format : |
27 cm |
| ISBN/ISSN/EAN : |
978-1-58488-507-8 |
| Note générale : |
ISBN : 1-58488-507-6 (hardcover : alk paper). - PPN 12732402X |
| Langues : |
Anglais (eng) |
| Tags : |
Equations intégrales -- Guides, manuels, etc. Équations différentielles Équations différentielles linéaires Transformations (mathématiques) Laplace, transformations de -- Tables Mellin, transformations de -- Tables Fonctions spéciales Analyse fonctionnelle Hilbert, Espaces de Integral equations -- Handbooks, manuals, etc. Differential equations Differential equations, Linear Transforms (mathematics) Laplace transforms -- Tables Mellin transforms -- Tables Special functions Functional analysis Hilbert space |
| Index. décimale : |
515.4 Calcul intégral et équations intégrales |
| Résumé : |
|
| Note de contenu : |
Références bibliographiques p. 1071-1079.- Index p. 1081-1108. - Sommaire : PART 1. Exact solutions of integral equations -- 1. Linear equations of the first skind with variable limit of integration -- 2.Linear equations of the second kind with variable limit of integration -- 3. Linear equations of the first kind with constant limits of integration -- 4. Linear equations of the second kind with constant limits of integration -- 5. Nonlinear equations of the first kind with variable limit of integration -- 6. Nonlinear equations of the second kind with variable limit of integration -- 7. Nonlinear equations of the first kind with constant limits of integration -- 8. Nonlinear equations of the second kind with constant limits of integration -- PART 2. Methods for solving integral equations -- 9. Main definitions and formulas, integral transforms -- 10. Methods for solving linear equations of a form... -- 11. Methods for solving linear equations of a form... -- 12. Methods for solving linear equations of a form... -- 13. Methods for solving linear equations of a form... -- 14. Methods for solving singular integral equations of the first kind -- 15. Methods for solving complete singular integral equations -- 16. Methods for solving nonlinear integral equations -- 17. Methods for solving multidimensional mixed integral equations -- 18. Application of integral equations for the investigation of differential equations -- SUPPLEMENTS : Supplement 1. Elementary functions and their properties -- Supplement 2. Finite sums and infinite series -- Supplement 3. Tables of indefinite integrals -- Supplement 4. Tables of definite integrals -- Supplement 5. Tables of Laplace transforms -- Supplement 6. Tables of inverse Laplance transforms -- Supplement 7. Tables of Fourier cosine transforms -- Supplement 8. Tables of Fourier sine transforms -- Supplement 9. Tables of Mellin transforms -- Supplement 10. Tables of inverse Mellin transforms -- Supplement 11. Special functions and their properties -- Supplement 12. Some notions of functional analysis.-- References -- Index. |
Handbook of integral equations [2nd ed.] [texte imprimé] / Andrei Dmitrievich Polyanin, Auteur ; Alexander Vladimirovich Manzhirov, Auteur . - Second edition . - London ; Boca Raton, Fla. : Chapman and Hall : Boca Raton ; London ; New York : CRC Press, cop. 2008 . - 1 vol. (XXXIII, 1108 p.) : ill. ; 27 cm. - ( Handbooks of mathematical equations) . ISBN : 978-1-58488-507-8 ISBN : 1-58488-507-6 (hardcover : alk paper). - PPN 12732402X Langues : Anglais ( eng)
| Tags : |
Equations intégrales -- Guides, manuels, etc. Équations différentielles Équations différentielles linéaires Transformations (mathématiques) Laplace, transformations de -- Tables Mellin, transformations de -- Tables Fonctions spéciales Analyse fonctionnelle Hilbert, Espaces de Integral equations -- Handbooks, manuals, etc. Differential equations Differential equations, Linear Transforms (mathematics) Laplace transforms -- Tables Mellin transforms -- Tables Special functions Functional analysis Hilbert space |
| Index. décimale : |
515.4 Calcul intégral et équations intégrales |
| Résumé : |
|
| Note de contenu : |
Références bibliographiques p. 1071-1079.- Index p. 1081-1108. - Sommaire : PART 1. Exact solutions of integral equations -- 1. Linear equations of the first skind with variable limit of integration -- 2.Linear equations of the second kind with variable limit of integration -- 3. Linear equations of the first kind with constant limits of integration -- 4. Linear equations of the second kind with constant limits of integration -- 5. Nonlinear equations of the first kind with variable limit of integration -- 6. Nonlinear equations of the second kind with variable limit of integration -- 7. Nonlinear equations of the first kind with constant limits of integration -- 8. Nonlinear equations of the second kind with constant limits of integration -- PART 2. Methods for solving integral equations -- 9. Main definitions and formulas, integral transforms -- 10. Methods for solving linear equations of a form... -- 11. Methods for solving linear equations of a form... -- 12. Methods for solving linear equations of a form... -- 13. Methods for solving linear equations of a form... -- 14. Methods for solving singular integral equations of the first kind -- 15. Methods for solving complete singular integral equations -- 16. Methods for solving nonlinear integral equations -- 17. Methods for solving multidimensional mixed integral equations -- 18. Application of integral equations for the investigation of differential equations -- SUPPLEMENTS : Supplement 1. Elementary functions and their properties -- Supplement 2. Finite sums and infinite series -- Supplement 3. Tables of indefinite integrals -- Supplement 4. Tables of definite integrals -- Supplement 5. Tables of Laplace transforms -- Supplement 6. Tables of inverse Laplance transforms -- Supplement 7. Tables of Fourier cosine transforms -- Supplement 8. Tables of Fourier sine transforms -- Supplement 9. Tables of Mellin transforms -- Supplement 10. Tables of inverse Mellin transforms -- Supplement 11. Special functions and their properties -- Supplement 12. Some notions of functional analysis.-- References -- Index. |
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