Viorel Barbu: Differential Equations

Cover: 9783319452609 | Differential Equations | Viorel Barbu | Taschenbuch | xi | Englisch

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Sprache: Englisch

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Beschreibung

This textbook is a comprehensive treatment of ordinary differential equations, concisely presenting basic and essential results in a rigorous manner.

Including various examples from physics, mechanics, natural sciences, engineering and automatic theory, Differential Equations is a bridge between the abstract theory of differential equations and applied systems theory. Particular attention is given to the existence and uniqueness of the Cauchy problem, linear differential systems, stability theory and applications to first-order partial differential equations.

Upper undergraduate students and researchers in applied mathematics and systems theory with a background in advanced calculus will find this book particularly useful. Supplementary topics are covered in an appendix enabling the book to be completely self-contained.

This textbook is a comprehensive treatment of ordinary differential equations, concisely presenting basic and essential results in a rigorous manner.

Über den Autor

Viorel Barbu is Professor of Mathematics at the Alexandru Ioan Cuza University of Iasi, Romania, and member of the Romanian Academy and the European Academy of Sciences. He is the author of several monographs and textbooks on partial differential equations, optimal control, nonlinear analysis, and optimization theory.

Zusammenfassung

Presents fundamental topics of ordinary differential equations in a compact volume

Provides numerous examples and exercises

Includes extra material on special topics in analysis and topology in an added appendix

Includes supplementary material: [...]

Inhaltsverzeichnis

Introduction.- Existence and uniqueness for the Cauchy problem.- Systems of linear differential equations.- Stability theory.- Prime integrals and first-order partial differential equations.

Details

Erscheinungsjahr:	2016
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xi 224 S. 16 s/w Illustr. 224 p. 16 illus.
ISBN-13:	9783319452609
ISBN-10:	3319452606
Sprache:	Englisch
Herstellernummer:	978-3-319-45260-9
Einband:	Kartoniert / Broschiert
Autor:	Barbu, Viorel
Auflage:	1st edition 2016
Hersteller:	Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 13 mm
Von/Mit:	Viorel Barbu
Erscheinungsdatum:	24.11.2016
Gewicht:	0,365 kg