• Produktbild: Qualitative Theory of Planar Differential Systems
  • Produktbild: Qualitative Theory of Planar Differential Systems

Qualitative Theory of Planar Differential Systems

Aus der Reihe Universitext

69,99 €

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

06.09.2006

Abbildungen

XVI, 302 p.

Verlag

Springer Berlin

Seitenzahl

302

Maße (L/B/H)

23,5/15,5/1,8 cm

Gewicht

487 g

Auflage

2006

Sprache

Englisch

ISBN

978-3-540-32893-3

Beschreibung

Rezension

From the reviews:



"Qualitative Theory of Planar Differential Systems is a graduate-level introduction to systems of polynomial autonomous differential equations in two real variables. … This text treats the basic results of the qualitative theory with competence and clarity. … the material of the text is well-integrated and readily accessible to graduate students or especially capable advanced undergraduates." (William J. Satzer, MathDL, December, 2006)


"This textbook, written by well-known scientists in the field of the qualitative theory of ordinary differential equations, presents a comprehensive introduction to fundamental and essential topics of real planar differential autonomous systems. … The emphasis is mainly qualitative, although attention is also given to more algebraic aspects. There is an extensive list of references. The monograph is well written and contains a lot of illustrations and examples. It will be useful for students, teachers and researchers." (Alexander Grin, Zentralblatt MATH, Vol. 1110 (12), 2007)


"The planar differential systems which are the subject of this book are systems of autonomous differential equations … . This book contains a wealth of information and techniques, some of it unavailable outside the research literature. … Moreover the exposition is accurate, clear, and well-motivated. … this work could serve well both as a textbook for a course in smooth dynamical systems on planar regions, and as a reference in which important tools of current research are thoroughly explained and their use illustrated." (Douglas S. Shafer, Mathematical Reviews, Issue 2007 f)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

06.09.2006

Abbildungen

XVI, 302 p.

Verlag

Springer Berlin

Seitenzahl

302

Maße (L/B/H)

23,5/15,5/1,8 cm

Gewicht

487 g

Auflage

2006

Sprache

Englisch

ISBN

978-3-540-32893-3

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: Qualitative Theory of Planar Differential Systems
  • Produktbild: Qualitative Theory of Planar Differential Systems
  • Basic Results on the Qualitative Theory of Differential Equations.- Normal Forms and Elementary Singularities.- Desingularization of Nonelementary Singularities.- Centers and Lyapunov Constants.- Poincaré and Poincaré–Lyapunov Compactification.- Indices of Planar Singular Points.- Limit Cycles and Structural Stability.- Integrability and Algebraic Solutions in Polynomial Vector Fields.- Polynomial Planar Phase Portraits.- Examples for Running P4.