國立虎尾科技大學 |

Differential equations = methods and applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Differential equations/ by Belkacem Said-Houari.
其他題名:	methods and applications /
作者:	Said-Houari, Belkacem.
出版者:	Cham :Springer International Publishing : : 2015.,
面頁冊數:	x, 212 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Differential equations. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-25735-8
ISBN:	9783319257358

Differential equations = methods and applications /
Said-Houari, Belkacem.

Differential equationsmethods and applications /[electronic resource] :by Belkacem Said-Houari. - Cham :Springer International Publishing :2015. - x, 212 p. :ill., digital ;24 cm. - Compact textbooks in mathematics,2296-4568. - Compact textbooks in mathematics..

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.

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.

ISBN: 9783319257358

Standard No.: 10.1007/978-3-319-25735-8doiSubjects--Topical Terms:

527664
Differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.352

Differential equations = methods and applications /
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505 0 $a 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.
520 $a 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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