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An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization
This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Edición: | 1st ed. 2016. |
| Colección: | PoliTO Springer Series,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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|---|---|---|---|
| 001 | 978-3-319-49667-2 | ||
| 003 | DE-He213 | ||
| 005 | 20220115004046.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 161208s2016 sz | s |||| 0|eng d | ||
| 020 | |a 9783319496672 |9 978-3-319-49667-2 | ||
| 024 | 7 | |a 10.1007/978-3-319-49667-2 |2 doi | |
| 050 | 4 | |a QA370-380 | |
| 072 | 7 | |a PBKJ |2 bicssc | |
| 072 | 7 | |a MAT007000 |2 bisacsh | |
| 072 | 7 | |a PBKJ |2 thema | |
| 082 | 0 | 4 | |a 515.35 |2 23 |
| 100 | 1 | |a Camporesi, Roberto. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 3 | |a An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization |h [electronic resource] / |c by Roberto Camporesi. |
| 250 | |a 1st ed. 2016. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2016. | |
| 300 | |a VII, 120 p. 1 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a PoliTO Springer Series, |x 2509-7024 | |
| 520 | |a This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The case of variable coefficients is addressed using Mammana's result for the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalization of this result to the case of complex-valued coefficients. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Calculus of variations. | |
| 650 | 0 | |a Algebras, Linear. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Calculus of Variations and Optimization. |
| 650 | 2 | 4 | |a Linear Algebra. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319496665 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319496689 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319842103 |
| 830 | 0 | |a PoliTO Springer Series, |x 2509-7024 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-49667-2 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||