Differential Equations: Methods and Applic...

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Dr. Belkacem Said-Houari received his Ph.D degree in partial differential equations (hyperbolic problems and nonclassical thermoelasticity) from Annaba University (Algeria) in 2005.

His research interests focus on analysis of hyperbolic PDE (e.g. in thermoelasticity, Timoshenko systems, nonlinear wave equations), integro-differential equations, parabolic and hyperbolic-parabolic PDE.
He is the author or co-author of 45 research papers published in refereed international journals.
He is the winner of the Abdul Hameed Shoman Award for Young Arab Researchers, Mathematics (2012).

Zusammenfassung

The book is very simple to read and it presents the ideas and the methods very clearly

It contains numerous exercises with detailed solutions included

In addition the volume of the book is not very large, so, students can reach the ideas very quickly

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2016
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	x 212 S. 30 s/w Illustr. 212 p. 30 illus.
ISBN-13:	9783319257341
ISBN-10:	331925734X
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Said-Houari, Belkacem
Auflage:	1st edition 2015
Hersteller:	Springer Springer International Publishing AG
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 13 mm
Von/Mit:	Belkacem Said-Houari
Erscheinungsdatum:	19.01.2016
Gewicht:	0,347 kg