Ordinary differential equations
Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for co...
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
New York, NY :
Springer New York
2012.
Cham : Springer Nature |
| Collection: | Undergraduate Texts in Mathematics
|
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Ordinary differential equations, William A. Adkins, Mark G. Davidson, New York, Springer, 2012, 1 vol. (XIII-799 p.), Undergraduate texts in mathematics, 978-1-4614-3617-1 |
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| 100 | 1 | |a Adkins, William A. | |
| 245 | 1 | 0 | |a Ordinary differential equations |c William A. Adkins, Mark G. Davidson. |
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c 2012. | ||
| 490 | 0 | |a Undergraduate Texts in Mathematics | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preface 1 First Order Differential Equations 2 The Laplace Transform 3 Second Order Constant Coefficient Linear Differential Equations 4 Linear Constant Coefficient Differential Equations 5 Second Order Linear Differential Equations 6 Discontinuous Functions and the Laplace Transform 7 Power Series Methods 8 Matrices 9 Linear Systems of Differential Equations A Appendix B Selected Answers C Tables Symbol Index Index | |
| 505 | 0 | |a Preface -- 1 First Order Differential Equations -- 2 The Laplace Transform -- 3 Second Order Constant Coefficient Linear Differential Equations -- 4 Linear Constant Coefficient Differential Equations -- 5 Second Order Linear Differential Equations -- 6 Discontinuous Functions and the Laplace Transform -- 7 Power Series Methods -- 8 Matrices -- 9 Linear Systems of Differential Equations -- A Appendix -- B Selected Answers -- C Tables -- Symbol Index -- Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations.Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equations with constant coefficients, second order linear differential equations with variable coefficients, power series methods, and linear systems of differential equations. It is assumed that the reader has had the equivalent of a one-year course in college calculus | ||
| 650 | |a Équations différentielles linéaires | ||
| 650 | |a Laplace | ||
| 700 | 1 | |a Davidson, Mark G., |d 1955- |4 aut | |
| 776 | 0 | |0 203184203 |t Ordinary differential equations |f William A. Adkins, Mark G. Davidson |c New York |n Springer |d 2012 |p 1 vol. (XIII-799 p.) |s Undergraduate texts in mathematics |z 978-1-4614-3617-1 | |
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