Differential Equations: A First Course on ODE and a Brief Introduction to PDE (De Gruyter Textbook)

Ambrosetti, Antonio; Ahmad, Shair

 
9783111185248: Differential Equations: A First Course on ODE and a Brief Introduction to PDE (De Gruyter Textbook)
ISBN 10: 3111185249 ISBN 13: 9783111185248
Verlag: De Gruyter, 2023

Inhaltsangabe

The first part of 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 at the undergraduate level, such as linear and nonlinear equations and systems, Bessel functions, Laplace transform, stability, etc. It is written with ample flexibility to make it appropriate either as a course stressing application, or a course stressing rigor and analytical thinking. It 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 the chapters. In this edition complete solutions to all even number problems are given in the back of the book.
The 2nd edition also includes some new problems and examples. An effort has been made to make the material more suitable and self-contained for undergraduate students with minimal knowledge of Calculus. For example, a detailed review of matrices and determinants has been added to the chapter on systems of equations. The second edition also contains corrections of some misprints and errors in the first edition.

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Über die Autorin bzw. den Autor

Antonio Ambrosetti, SISSA, Italy; Shair Ahmad, University of Texas at San Antonio, USA.

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Verlag
De Gruyter
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
3111185249
ISBN 13 
9783111185248
Einband
Broschiert
Auflage
2
Anzahl der Seiten
378
Kontakt zum Hersteller
Walter de Gruyter GmbH
info@degruyter.com

Genthiner Straße 13
Berlin
Berlin
10785
Deutschland

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9783111699905: Differential Equations: A First Course on ODE and a Brief Introduction to PDE (De Gruyter Textbook)

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ISBN 10:  3111699900 ISBN 13:  9783111699905
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