Differential Equations: Methods and Applications

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book Differential Equations: Methods and Applications by Belkacem Said-Houari, Springer International Publishing
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Author: Belkacem Said-Houari ISBN: 9783319257358
Publisher: Springer International Publishing Publication: January 11, 2016
Imprint: Springer Language: English
Author: Belkacem Said-Houari
ISBN: 9783319257358
Publisher: Springer International Publishing
Publication: January 11, 2016
Imprint: Springer
Language: English

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. 

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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. 

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