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Differential Equations: Methods and Applications [[electronic resource] /] / by Belkacem Said-Houari



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Autore: Said-Houari Belkacem Visualizza persona
Titolo: Differential Equations: Methods and Applications [[electronic resource] /] / by Belkacem Said-Houari Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015
Edizione: 1st ed. 2015.
Descrizione fisica: 1 online resource (X, 212 p. 30 illus.)
Disciplina: 515.35
Soggetto topico: Difference equations
Functional equations
Differential equations
Difference and Functional Equations
Ordinary Differential Equations
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di contenuto: Preface -- 1. Modelling and definitions -- 2. First-order differential equations -- 3. Linear second-order equations -- 4. Laplace Transforms -- 5. Power series solution -- 6. Systems of differential equations -- 7. Qualitative theory -- Index.
Sommario/riassunto: This book presents a variety of techniques for solving ordinary differential equations analytically and features a wealth of examples. Focusing on the modeling of real-world phenomena, it begins with a basic introduction to differential equations, followed by linear and nonlinear first order equations and a detailed treatment of the second order linear equations. After presenting solution methods for the Laplace transform and power series, it lastly presents systems of equations and offers an introduction to the stability theory. To help readers practice the theory covered, two types of exercises are provided: those that illustrate the general theory, and others designed to expand on the text material. Detailed solutions to all the exercises are included. The book is excellently suited for use as a textbook for an undergraduate class (of all disciplines) in ordinary differential equations. .
Titolo autorizzato: Differential equations: methods and applications  Visualizza cluster
ISBN: 3-319-25735-8
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910300251203321
Lo trovi qui: Univ. Federico II
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Serie: Compact Textbooks in Mathematics, . 2296-4568