Differential Equations: A first course on ODE and a brief introduction to PDE

This book is mainly intended as a textbook for students at the Sophomore-Junior level, majoring in mathematics, engineering, or the sciences in general. The book includes the basic topics in Ordinary Differential Equations, normally taught in an undergraduate class, as linear and nonlinear equations...

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Hauptverfasser: Ahmad, Shair 1934- (VerfasserIn), Ambrosetti, Antonio 1944-2020 (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Berlin ; Boston De Gruyter [2019]
Schriftenreihe:De Gruyter Textbook
Schlagworte:
Online-Zugang:DE-1043
DE-1046
DE-858
DE-Aug4
DE-898
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DE-860
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DE-20
DE-706
DE-739
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Zusammenfassung:This book is mainly intended as a textbook for students at the Sophomore-Junior level, majoring in mathematics, engineering, or the sciences in general. The book includes the basic topics in Ordinary Differential Equations, normally taught in an undergraduate class, as linear and nonlinear equations and systems, Bessel functions, Laplace transform, stability, etc. It is written with ample exibility to make it appropriate either as a course stressing applications, or a course stressing rigor and analytical thinking. This book also offers sufficient material for a one-semester graduate course, covering topics such as phase plane analysis, oscillation, Sturm-Liouville equations, Euler-Lagrange equations in Calculus of Variations, first and second order linear PDE in 2D. There are substantial lists of exercises at the ends of chapters. A solutions manual, containing complete and detailed solutions to all the exercises in the book, is available to instructors who adopt the book for teaching their classes
Beschreibung:Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Nov 2019)
Beschreibung:1 online resource (XV, 293 pages)
ISBN:9783110652864
DOI:10.1515/9783110652864