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Differential Equations: Methods and Applications

Belkacem Said-Houari (Autor)

Buch | Softcover

X, 212 Seiten

2016 | 1st ed. 2015
Springer International Publishing (Verlag)
978-3-319-25734-1 (ISBN)

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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.

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).

lt;br>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.

lt;p>The book presents a concise introduction to the theory of ordinary differential equations that arise in the real world, and the methods used to solve them. Each section or chapter of the book has been followed with examples and exercises with detailed solutions. ... The book is outstanding and will be excellently suited for students who have completed two semesters of differential and integral calculus and need a concise presentation of an introduction to the theory of ordinary differential equations." (Olusola Akinyele, zbMATH 1338.34003, 2016)

Erscheinungsdatum	08.10.2016
Reihe/Serie	Compact Textbooks in Mathematics
Zusatzinfo	X, 212 p. 30 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Difference and Functional Equations • first order differential equations • Fundamental solution of differential equation • Laplace transform • Limit cycle • mathematics and statistics • Ordinary differential equations • power series • second order differential equations
ISBN-10	3-319-25734-X / 331925734X
ISBN-13	978-3-319-25734-1 / 9783319257341
Zustand	Neuware