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Elargir la recherche       Sur le même sujet :     Équations différentielles linéaires     Transformation de Laplace     Mathematics.     Differential equations.     Parcourir le catalogue     par auteur:      Adkins , William A      Davidson , Mark G. , 1955-....      Davidson , Mark G. , 1955-....       Rechercher sur Internet     Localiser dans une autre bibliothèque (SUDOC) (PPN ou ISBN ou ISSN)     Aperçu dans Google Books     Affichage MARC

Auteur :  Adkins , William A Davidson , Mark G. , 1955-.... Titre :  Ordinary differential equations , William A. Adkins, Mark G. Davidson Editeur :  New York, NY , Springer New York , Springer e-books , Imprint: Springer , Springer e-books -- 2012 Collection :  Undergraduate Texts in Mathematics ISBN:  978-1-461-43618-8 .- 978-1-4614-3618-8 Notes :  L'impression du document génère 812 p. Titre provenant de l'écran-titre L'accès complet au document est réservé aux usagers des établissements qui en ont fait l'acquisition 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 Nécessite un lecteur de fichier PDF Contient :  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 Sujet :  Équations différentielles linéaires Transformation de Laplace Mathematics. Differential equations.   Exemplaires Pas de données exemplaires

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