Dynamical Systems I: Ordinary Differential Equations and Smooth Dynamical Systems

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D.V. Anosov D.V. Anosov

Dynamical Systems I

Ordinary Differential Equations and Smooth Dynamical Systems

D.V. Anosov, D.V. Anosov, E.R. Dawson , S.Kh. Aranson

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English

Springer-Verlag Berlin and Heidelberg GmbH & Co. K
18 December 1996

Mathematics & Sciences; Differential calculus & equations; Maths for scientists; Maths for engineers

Series: Problem Books in Mathematics

From the reviews: ""The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic principles of the field, ...indicate connections with other fields of mathematics and sketch the motivation behind the various concepts which are introduced...

What is particularly pleasant is the fact that the authors are quite successful in giving to the reader the feeling behind the demonstrations which are sketched. Another point to notice is the existence of an annotated extended bibliography and a very complete index. This really enhances the value of this book and puts it at the level of a particularly interesting reference tool. I thus strongly recommend to buy this very interesting and stimulating book. "" Journal de Physique

By: D.V. Anosov, S.Kh. Aranson
Edited by: D.V. Anosov, V.I. Arnold
Translated by: E.R. Dawson
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication: Germany
Edition: Softcover reprint of the original 1st ed. 1988
Dimensions: Height: 235mm, Width: 155mm, Spine: 13mm
Weight: 780g
ISBN: 9783540612209
ISBN 10: 3540612203
Series: Problem Books in Mathematics
Pages: 246
Publication Date: 18 December 1996
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Ordinary Differential Equations.- Preface.- Basic Concepts.- Differential Equations on Surfaces.- Singular Points of Differential Equations in Higher Dimensional Real Phase Space.- Singular Points of Differential Equations in Higher Dimensional Complex Phase Space.- Singular Points of Vector Fields in the Real and Complex Planes.- Cycles.- Analytic Theory of Differential Equations.- Smooth Dynamical Systems.- Preface.- Basic Concepts.- Elementary Theory.- Topological Dynamics.- Flows on Two-Dimensional Manifolds.

Reviews for Dynamical Systems I: Ordinary Differential Equations and Smooth Dynamical Systems

"From the reviews: ""The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic principles of the field, ... indicate connections with other fields of mathematics and sketch the motivation behind the various concepts which are introduced.... What is particularly pleasant is the fact that the authors are quite successful in giving to the reader the feeling behind the demonstrations which are sketched. Another point to notice is the existence of an annotated extended bibliography and a very complete index. This really enhances the value of this book and puts it at the level of a particularly interesting reference tool. I thus strongly recommend to buy this very interesting and stimulating book."" Journal de Physique"