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Differential Equations

BuchKartoniert, Paperback
224 Seiten
Englisch
Springererschienen am24.11.20161st ed. 2016
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.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR19,25
E-BookPDF1 - PDF WatermarkE-Book
EUR37,44

Produkt

KlappentextThis 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.
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: sn.pub/extras
Details
ISBN/GTIN978-3-319-45260-9
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2016
Erscheinungsdatum24.11.2016
Auflage1st ed. 2016
ReiheSpringer Undergraduate Mathematics Series
Seiten224 Seiten
SpracheEnglisch
Gewicht369 g
IllustrationenXI, 224 p. 16 illus.
Artikel-Nr.39223896

Inhalt/Kritik

Inhaltsverzeichnis
Introduction.- Existence and uniqueness for the Cauchy problem.- Systems of linear differential equations.- Stability theory.- Prime integrals and first-order partial differential equations.mehr
Kritik
"This book provides a thorough and mathematically rigorous presentation of the basic theory of differential equations. ... The author has a style and approach that makes the book quite readable. There is, also, given explanatory and motivational material, associated with carefully chosen examples and exercises (with hints). This is an excellent book ... by means of which an undergraduate student can be introduced to ordinary and partial differential equations." (George Karakostas, zbMATH 1370.34001, 2017)mehr

Schlagworte

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.